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Quark model

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4266: 455: 440: 4521: 4115: 848: 4533: 811: 20: 406:" quarks—which are unobserved, and possibly unobservable in a free form. Simple pairwise or triplet combinations of these three constituents and their antiparticles underlie and elegantly encode the Eightfold Way classification, in an economical, tight structure, resulting in further simplicity. Hadronic mass differences were now linked to the different masses of the constituent quarks. 1114: 569:
Figure 1 shows the application of this decomposition to the mesons. If the flavor symmetry were exact (as in the limit that only the strong interactions operate, but the electroweak interactions are notionally switched off), then all nine mesons would have the same mass. However, the physical content
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The group theory approach described above assumes that the quarks are eight components of a single particle, so the anti-symmetrization applies to all the quarks. A simpler approach is to consider the eight flavored quarks as eight separate, distinguishable, non-identical particles. Then the
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suggested the existence of a hidden degree of freedom, they labeled as the group SU(3)' (but later called 'color). This led to three triplets of quarks whose wavefunction was anti-symmetric in the color degree of freedom. Flavor and color were intertwined in that model: they did not commute.
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of a baryon must be antisymmetric under the exchange of any two quarks. This antisymmetric wavefunction is obtained by making it fully antisymmetric in color, discussed below, and symmetric in flavor, spin and space put together. With three flavors, the decomposition in flavor is
332:, in 1961. The hadrons were organized into SU(3) representation multiplets, octets and decuplets, of roughly the same mass, due to the strong interactions; and smaller mass differences linked to the flavor quantum numbers, invisible to the strong interactions. The 2218: 70:
that were being discovered starting in the 1950s and continuing through the 1960s. It received experimental verification beginning in the late 1960s and is a valid and effective classification of them to date. The model was independently proposed by physicists
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Color quantum numbers are the characteristic charges of the strong force, and are completely uninvolved in electroweak interactions. They were discovered as a consequence of the quark model classification, when it was appreciated that the spin
899: 1188: 564: 149:, and so on. The strong interactions binding the quarks together are insensitive to these quantum numbers, so variation of them leads to systematic mass and coupling relationships among the hadrons in the same flavor multiplet. 2098: 1000:
The decuplet is symmetric in flavor, the singlet antisymmetric and the two octets have mixed symmetry. The space and spin parts of the states are thereby fixed once the orbital angular momentum is given.
297:, who was at the forefront of many of these developments. Constructing hadrons as bound states of fewer constituents would thus organize the "zoo" at hand. Several early proposals, such as the ones by 417:), but instead always combine with other quarks to form full hadrons, which then furnish ample indirect information on the trapped quarks themselves. Conversely, the quarks serve in the definition of 570:
of the full theory includes consideration of the symmetry breaking induced by the quark mass differences, and considerations of mixing between various multiplets (such as the octet and the singlet).
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If quark–quark interactions are limited to two-body interactions, then all the successful quark model predictions, including sum rules for baryon masses and magnetic moments, can be derived.
421:, the fundamental theory fully describing the strong interactions; and the Eightfold Way is now understood to be a consequence of the flavor symmetry structure of the lightest three of them. 2115: 1194:, of the baryon. Since these states are symmetric in spin and flavor, they should also be symmetric in space—a condition that is easily satisfied by making the orbital angular momentum 293:: "Young man, if I could remember the names of these particles, I would have been a botanist." These new schemes earned Nobel prizes for experimental particle physicists, including 83:
also touched upon the central ideas from 1963 to 1965, without as much quantitative substantiation. Today, the model has essentially been absorbed as a component of the established
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are made of three quarks (thus have a baryon number of 1). This article discusses the quark model for the up, down, and strange flavors of quark (which form an approximate flavor
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became a timely question after new experimental techniques uncovered so many of them that it became clear that they could not all be elementary. These discoveries led
2377:, required three up quarks with parallel spins and vanishing orbital angular momentum. Therefore, it could not have an antisymmetric wavefunction, (required by the 512: 1109:{\displaystyle \mathbf {6} \otimes \mathbf {6} \otimes \mathbf {6} =\mathbf {56} _{S}\oplus \mathbf {70} _{M}\oplus \mathbf {70} _{M}\oplus \mathbf {20} _{A}~.} 1610: 2102:
Mixing of baryons, mass splittings within and between multiplets, and magnetic moments are some of the other quantities that the model predicts successfully.
2620:(1965). "Propriétés de l'étrangeté et une formule de masse pour les mésons vectoriels" [Strangeness properties and a mass formula for vector meson]. 993:{\displaystyle \mathbf {3} \otimes \mathbf {3} \otimes \mathbf {3} =\mathbf {10} _{S}\oplus \mathbf {8} _{M}\oplus \mathbf {8} _{M}\oplus \mathbf {1} _{A}~.} 4151: 30:
nonet. Members of the original meson "octet" are shown in green, the singlet in magenta. Although these mesons are now grouped into a nonet, the
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The modern concept of color completely commuting with all other charges and providing the strong force charge was articulated in 1973, by
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Hadrons are not really "elementary", and can be regarded as bound states of their "valence quarks" and antiquarks, which give rise to the
379:, a member of the ground-state decuplet, was a crucial prediction of that classification. After it was discovered in an experiment at 4537: 3788: 4280: 4026: 469:
The Eightfold Way classification is named after the following fact: If we take three flavors of quarks, then the quarks lie in the
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It would take about a decade for the unexpected nature—and physical reality—of these quarks to be appreciated more fully (See
4398: 499: 255:. Each quark or antiquark obeys the Gell-Mann–Nishijima formula individually, so any additive assembly of them will as well. 394:, discerned independently what the Eightfold Way picture encodes: They posited three elementary fermionic constituents—the " 309:(1956), ended up satisfactorily covering the mesons, but failed with baryons, and so were unable to explain all the data. 4481: 3068: 336:
systematized the quantification of these small mass differences among members of a hadronic multiplet, controlled by the
2213:{\displaystyle {\text{p}}\left({\frac {1}{2}},{\frac {1}{2}}\right)={\frac {{\text{u}}{\text{u}}{\text{d}}}{\sqrt {6}}}} 98:
of the hadrons. These quantum numbers are labels identifying the hadrons, and are of two kinds. One set comes from the
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of quarks as the six states of three flavors and two spins per flavor. This approximate symmetry is called spin-flavor
4305: 3924: 3016: 2867: 4486: 4005: 2439:, and allows for a variety of mixings. There may be hadrons which lie outside the quark model. Among these are the 333: 1005: 313: 4446: 380: 4337: 4285: 743: 4496: 4021: 2737:
Greenberg, O.W. (1964). "Spin and unitary-spin independence in a paraquark model of baryons and mesons".
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name derives from the patterns of eight for the mesons and baryons in the original classification scheme.
2511: 720: 478: 470: 337: 59: 2312:{\displaystyle \Delta ^{+}\left({\frac {3}{3}},{\frac {3}{2}}\right)={\text{u}}{\text{u}}{\text{d}}~.} 4451: 4097: 2622: 2378: 660: 2907: 4456: 3509: 2883:
Fritzsch, H.; Gell-Mann, M.; Leutwyler, H. (1973). "Advantages of the color octet gluon picture".
4525: 4370: 4238: 4228: 4065: 3700: 3327: 3061: 2739: 325: 134: 63: 31: 2841: 2817: 4243: 4216: 4000: 3337: 2902: 2507: 2425: 491: 418: 384: 146: 119: 1183:{\displaystyle \mathbf {56} =\mathbf {10} ^{\frac {3}{2}}\oplus \mathbf {8} ^{\frac {1}{2}}~,} 559:{\displaystyle \mathbf {3} \otimes \mathbf {\overline {3}} =\mathbf {8} \oplus \mathbf {1} ~.} 4491: 4365: 4332: 4087: 2775: 4441: 4380: 4375: 4349: 4196: 2969: 2894: 2855: 2837: 2789: 2748: 2711: 2641: 2549: 84: 2600: 2579: 99: 8: 4408: 4102: 3085: 2938: 2472: 648:" has its origin in topological peculiarities of the strong interaction vacuum, such as 294: 2973: 2898: 2859: 2793: 2752: 2715: 2645: 2553: 4436: 4206: 4045: 3054: 2985: 2959: 2845: 2680: 2631: 2409: 2405: 610: 447: 321: 27: 2617: 2561: 80: 4322: 4114: 4082: 3995: 3474: 3219: 3146: 3035: 3002: 2989: 2950: 2916: 2885: 2863: 2780: 2653: 2429: 414: 328:
classification, invented by Gell-Mann, with important independent contributions from
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The 56 states with symmetric combination of spin and flavour decompose under flavor
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are made of a valence quark–antiquark pair (thus have a baryon number of 0), while
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anti-symmetrization applies only to two identical quarks (like uu, for instance).
4564: 4423: 4290: 4060: 3985: 3969: 3909: 3319: 3244: 3234: 3224: 3136: 3024: 2702: 2540: 2382: 805: 185: 2428:, the structure of hadrons is more complicated than this model allows. The full 4461: 4160: 4119: 4033: 3990: 3726: 3514: 3287: 3209: 3204: 3126: 3031: 2760: 2397: 1583: 667: 434: 302: 282: 95: 88: 55: 2801: 66:, the successful classification scheme organizing the large number of lighter 4553: 4431: 4390: 4077: 3929: 3896: 3688: 3658: 3590: 3449: 3229: 3156: 3141: 2723: 2676: 2502: 2494: 2451: 2393: 1365: 656: 462: 403: 290: 209: 153: 4413: 4344: 4253: 4211: 4201: 4055: 3605: 3595: 3585: 3346: 3297: 3239: 3161: 3116: 2700:
Franklin, J. (1968). "A Model of Baryons Made of Quarks with Hidden Spin".
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For example, the constituent quark model wavefunction for the proton is
177: 142: 490:. The nine states (nonet) made out of a pair can be decomposed into the 3812: 3706: 3696: 3678: 3568: 3469: 3404: 3121: 3046: 3039: 2850: 2515: 2460: 2456: 454: 439: 399: 205: 127: 123: 2933: 3954: 3944: 3914: 3807: 3773: 3766: 3643: 3633: 3628: 3600: 3368: 3151: 1543: 1325: 649: 285:
to exclaim "Had I foreseen that, I would have gone into botany." and
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An SU(3) Model for Strong Interaction Symmetry and its Breaking: II
2441: 748: 724: 413:). Counter-intuitively, they cannot ever be observed in isolation ( 395: 233: 173: 2685: 2636: 2435:
of any hadron must include virtual quark pairs as well as virtual
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Then, the proton wavefunction can be written in a simpler form:
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An SU(3) Model for Strong Interaction Symmetry and its Breaking
2481: 2477: 876: 840: 810: 799: 410: 278: 262: 67: 47: 3964: 3904: 3756: 3615: 3494: 3434: 3389: 3282: 3260: 3103: 2538:(4 January 1964). "A Schematic Model of Baryons and Mesons". 2489: 2485: 2436: 2385:
noted this problem in 1964, suggesting that quarks should be
1119: 1009: 484:. The antiquarks lie in the complex conjugate representation 481: 430: 266: 258: 51: 87:
of strong and electroweak particle interactions, dubbed the
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is larger than the quark model can accommodate, and this "
506:(called the octet). The notation for this decomposition is 232:. Antiquarks have the opposite quantum numbers. Quarks are 19: 2882: 269:). There are generalizations to larger number of flavors. 2671:. XXX-th International Workshop on High Energy Physics. 2424:
While the quark model is derivable from the theory of
2449:(which contain valence quarks as well as gluons) and 2232: 2118: 1613: 1128: 1018: 902: 515: 709:= (−1), where the 1 in the exponent arises from the 75:, who dubbed them "quarks" in a concise paper, and 3023: 2816: 2773: 2311: 2212: 2092: 1182: 1108: 992: 779:; while all other quantum numbers are thus called 775:= 1. States with these quantum numbers are called 573:N.B. Nevertheless, the mass splitting between the 558: 2815:Bardeen, W.; Fritzsch, H.; Gell-Mann, M. (1973). 2419: 54:—the quarks and antiquarks that give rise to the 4551: 2776:"Three-triplet model with double SU(3) symmetry" 3021: 2736: 79:, who suggested "aces" in a longer manuscript. 4296:Mathematical formulation of the Standard Model 2834:Scale and conformal symmetry in hadron physics 4145: 3062: 2078: 2031: 1984: 1937: 1890: 1843: 1796: 1746: 1696: 1631: 387:for his work on the Eightfold Way, in 1969. 2996: 2528: 723:. Flavored mesons have indefinite value of 58:of the hadrons. The quark model underlies 4152: 4138: 3069: 3055: 2999:Unitary Symmetry and Elementary Particles 2963: 2906: 2849: 2684: 2635: 2616: 2589: 2568: 2534: 1012:. In terms of this, the decomposition is 3076: 2699: 2667:Petrov, Vladimir A. (June 23–27, 2014). 1190:where the superscript denotes the spin, 846: 809: 659:. If the quark–antiquark pair are in an 453: 438: 18: 1004:It is sometimes useful to think of the 4552: 3540: 2666: 1201:. These are the ground-state baryons. 277:Developing classification schemes for 4133: 3050: 2693: 2606:(Report). CERN Report No.8419/TH.412. 2595: 2585:(Report). CERN Report No.8182/TH.401. 2574: 2445:(which contain only valence gluons), 2325: 4532: 742:and 0 states, one can define a new 13: 4159: 2234: 14: 4576: 4531: 4520: 4519: 4264: 4113: 4006:Timeline of particle discoveries 1159: 1139: 1130: 1090: 1075: 1060: 1045: 1036: 1028: 1020: 974: 959: 944: 929: 920: 912: 904: 719:= (−1) for mesons which have no 546: 538: 526: 517: 390:Finally, in 1964, Gell-Mann and 16:Classification scheme of hadrons 2876: 46:is a classification scheme for 4447:Causal dynamical triangulation 2982:10.1016/j.physletb.2004.06.001 2808: 2767: 2730: 2660: 2610: 2420:States outside the quark model 2300: 2297: 2294: 2207: 2204: 2198: 2192: 2186: 2081: 2073: 2061: 2049: 2038: 2026: 2014: 2002: 1991: 1979: 1967: 1955: 1944: 1932: 1920: 1908: 1897: 1885: 1873: 1861: 1850: 1838: 1826: 1814: 1803: 1791: 1779: 1767: 1756: 1741: 1729: 1717: 1706: 1691: 1679: 1667: 1656: 1649: 1626: 1615: 1408:decuplet baryons are the four 498:(called the singlet), and the 381:Brookhaven National Laboratory 1: 4286:Spontaneous symmetry breaking 2927: 2818:"Light cone current algebra, 2774:Han, M.Y.; Nambu, Y. (1965). 2562:10.1016/S0031-9163(64)92001-3 767:= (−1), then it follows that 744:multiplicative quantum number 655:Mesons are hadrons with zero 4022:History of subatomic physics 2943:"Review of Particle Physics" 2917:10.1016/0370-2693(73)90625-4 2654:10.1016/0029-5582(65)90348-2 713:of the quark–antiquark pair. 529: 334:Gell-Mann–Okubo mass formula 216:have an electric charge of − 7: 2466: 2392:Instead, six months later, 2298:↑ ↑ ↑ 2205:↓ ↑ ↑ 2199:↑ ↓ ↑ 2193:↑ ↑ ↓ 314:Gell-Mann–Nishijima formula 10: 4581: 2761:10.1103/PhysRevLett.13.598 2669:Half a Century with QUARKS 2329: 1226:octet baryons are the two 803: 797: 793: 471:fundamental representation 428: 338:explicit symmetry breaking 272: 152:All quarks are assigned a 50:in terms of their valence 4515: 4474: 4452:Canonical quantum gravity 4422: 4389: 4358: 4315: 4304: 4273: 4262: 4167: 4111: 4014: 3978: 3895: 3856: 3826: 3800: 3796: 3787: 3719: 3687: 3614: 3549: 3531: 3427: 3382: 3354: 3345: 3336: 3318: 3296: 3268: 3259: 3175: 3102: 3093: 3084: 2997:Lichtenberg, D B (1970). 2802:10.1103/PhysRev.139.B1006 2379:Pauli exclusion principle 424: 4457:Superfluid vacuum theory 4039:mathematical formulation 3634:Eta and eta prime mesons 3022:J.J.J. Kokkedee (1969). 2724:10.1103/PhysRev.172.1807 2521: 783:(for example, the state 661:orbital angular momentum 477:(called the triplet) of 4239:Quantum electrodynamics 4229:Electroweak interaction 3701:Double-charm tetraquark 2740:Physical Review Letters 889:spin–statistics theorem 450:of spin-0 form a nonet 383:, Gell-Mann received a 4217:Quantum chromodynamics 2832:. In Gatto, R. (ed.). 2508:Quantum chromodynamics 2426:quantum chromodynamics 2313: 2214: 2094: 1184: 1110: 994: 880: 844: 560: 500:adjoint representation 492:trivial representation 466: 465:of spin-1 form a nonet 451: 419:quantum chromodynamics 385:Nobel prize in physics 289:to advise his student 135:flavor quantum numbers 120:total angular momentum 35: 4333:Cosmological constant 4098:Wave–particle duality 4088:Relativistic particle 3225:Electron antineutrino 3015:Thomson, M A (2011), 2838:John Wiley & Sons 2314: 2215: 2095: 1185: 1111: 995: 850: 813: 777:natural parity states 561: 457: 442: 133:The other set is the 22: 4442:Loop quantum gravity 4381:Theory of everything 4376:Grand Unified Theory 4350:Neutrino oscillation 4197:Quantum field theory 3328:Faddeev–Popov ghosts 3078:Particles in physics 2230: 2116: 1611: 1126: 1016: 900: 513: 251:particles, and thus 85:quantum field theory 4409:Split supersymmetry 4371:Kaluza–Klein theory 4244:Fermi's interaction 4103:Particle chauvinism 4046:Subatomic particles 2974:2004PhLB..592....1P 2939:Particle Data Group 2899:1973PhLB...47..365F 2860:2002hep.ph...11388B 2794:1965PhRv..139.1006H 2753:1964PhRvL..13..598G 2716:1968PhRv..172.1807F 2646:1965NucPh..63..349P 2578:(17 January 1964). 2554:1964PhL.....8..214G 2473:Subatomic particles 448:Pseudoscalar mesons 4437:Superstring theory 4207:Strong interaction 3001:. Academic Press. 2430:quantum mechanical 2326:Discovery of color 2309: 2210: 2090: 1180: 1106: 990: 881: 845: 556: 467: 452: 322:Kazuhiko Nishijima 36: 28:pseudoscalar meson 4547: 4546: 4470: 4469: 4345:Strong CP problem 4323:Hierarchy problem 4127: 4126: 4083:Massless particle 3891: 3890: 3887: 3886: 3852: 3851: 3715: 3714: 3527: 3526: 3523: 3522: 3475:Magnetic monopole 3423: 3422: 3314: 3313: 3255: 3254: 3235:Muon antineutrino 3220:Electron neutrino 2951:Physics Letters B 2886:Physics Letters B 2781:Physical Review B 2305: 2292: 2287: 2282: 2269: 2256: 2184: 2183: 2176: 2171: 2166: 2150: 2137: 2122: 2086: 2070: 2058: 2046: 2023: 2011: 1999: 1976: 1964: 1952: 1929: 1917: 1905: 1882: 1870: 1858: 1835: 1823: 1811: 1788: 1776: 1764: 1738: 1726: 1714: 1688: 1676: 1664: 1647: 1646: 1623: 1176: 1171: 1151: 1102: 986: 891:implies that the 883:Since quarks are 552: 532: 415:color confinement 100:PoincarĂ© symmetry 4572: 4535: 4534: 4523: 4522: 4313: 4312: 4268: 4267: 4249:Weak hypercharge 4234:Weak interaction 4175:Particle physics 4154: 4147: 4140: 4131: 4130: 4117: 4093:Virtual particle 3864:Mesonic molecule 3798: 3797: 3794: 3793: 3639:Bottom eta meson 3547: 3546: 3538: 3537: 3510:Wâ€Č and Zâ€Č bosons 3500:Sterile neutrino 3485:Majorana fermion 3352: 3351: 3343: 3342: 3266: 3265: 3245:Tau antineutrino 3100: 3099: 3091: 3090: 3071: 3064: 3057: 3048: 3047: 3043: 3029: 3012: 2993: 2967: 2965:astro-ph/0406663 2947: 2921: 2920: 2910: 2880: 2874: 2873: 2853: 2831: 2812: 2806: 2805: 2771: 2765: 2764: 2734: 2728: 2727: 2710:(3): 1807–1817. 2697: 2691: 2690: 2688: 2664: 2658: 2657: 2639: 2614: 2608: 2607: 2605: 2593: 2587: 2586: 2584: 2572: 2566: 2565: 2532: 2414:Murray Gell-Mann 2376: 2375: 2374: 2367: 2366: 2358: 2357: 2355: 2354: 2351: 2348: 2318: 2316: 2315: 2310: 2303: 2293: 2290: 2288: 2285: 2283: 2280: 2275: 2271: 2270: 2262: 2257: 2249: 2242: 2241: 2219: 2217: 2216: 2211: 2185: 2179: 2178: 2177: 2174: 2172: 2169: 2167: 2164: 2161: 2156: 2152: 2151: 2143: 2138: 2130: 2123: 2120: 2099: 2097: 2096: 2091: 2084: 2077: 2076: 2071: 2068: 2065: 2064: 2059: 2056: 2053: 2052: 2047: 2044: 2041: 2030: 2029: 2024: 2021: 2018: 2017: 2012: 2009: 2006: 2005: 2000: 1997: 1994: 1983: 1982: 1977: 1974: 1971: 1970: 1965: 1962: 1959: 1958: 1953: 1950: 1947: 1936: 1935: 1930: 1927: 1924: 1923: 1918: 1915: 1912: 1911: 1906: 1903: 1900: 1889: 1888: 1883: 1880: 1877: 1876: 1871: 1868: 1865: 1864: 1859: 1856: 1853: 1842: 1841: 1836: 1833: 1830: 1829: 1824: 1821: 1818: 1817: 1812: 1809: 1806: 1795: 1794: 1789: 1786: 1783: 1782: 1777: 1774: 1771: 1770: 1765: 1762: 1759: 1745: 1744: 1739: 1736: 1733: 1732: 1727: 1724: 1721: 1720: 1715: 1712: 1709: 1695: 1694: 1689: 1686: 1683: 1682: 1677: 1674: 1671: 1670: 1665: 1662: 1659: 1648: 1642: 1638: 1630: 1629: 1624: 1621: 1618: 1603: 1602: 1601: 1594: 1593: 1581: 1580: 1579: 1572: 1571: 1563: 1562: 1561: 1554: 1553: 1541: 1540: 1539: 1532: 1531: 1523: 1522: 1521: 1514: 1513: 1505: 1504: 1503: 1496: 1495: 1483: 1482: 1481: 1474: 1473: 1465: 1464: 1463: 1456: 1455: 1447: 1446: 1445: 1438: 1437: 1429: 1428: 1427: 1420: 1419: 1407: 1406: 1404: 1403: 1400: 1397: 1385: 1384: 1383: 1376: 1375: 1363: 1362: 1361: 1354: 1353: 1345: 1344: 1343: 1336: 1335: 1323: 1322: 1321: 1314: 1313: 1305: 1304: 1303: 1296: 1295: 1287: 1286: 1285: 1278: 1277: 1265: 1264: 1263: 1256: 1255: 1247: 1246: 1245: 1238: 1237: 1225: 1224: 1222: 1221: 1218: 1215: 1200: 1189: 1187: 1186: 1181: 1174: 1173: 1172: 1164: 1162: 1153: 1152: 1144: 1142: 1133: 1115: 1113: 1112: 1107: 1100: 1099: 1098: 1093: 1084: 1083: 1078: 1069: 1068: 1063: 1054: 1053: 1048: 1039: 1031: 1023: 999: 997: 996: 991: 984: 983: 982: 977: 968: 967: 962: 953: 952: 947: 938: 937: 932: 923: 915: 907: 875: 874: 872: 871: 868: 865: 838: 837: 835: 834: 831: 828: 789: 758: 741: 711:intrinsic parity 686: 672: 666:state, and have 665: 652:configurations. 645: 644: 643: 636: 635: 627: 626: 625: 618: 617: 608: 607: 606: 599: 598: 590: 589: 588: 581: 580: 565: 563: 562: 557: 550: 549: 541: 533: 525: 520: 489: 376: 375: 374: 367: 366: 358: 356: 355: 352: 349: 318:Murray Gell-Mann 305:(1949), and the 249: 247: 246: 243: 240: 231: 229: 228: 225: 222: 203: 201: 200: 197: 194: 171: 169: 168: 165: 162: 130:, respectively. 73:Murray Gell-Mann 40:particle physics 4580: 4579: 4575: 4574: 4573: 4571: 4570: 4569: 4550: 4549: 4548: 4543: 4511: 4466: 4424:Quantum gravity 4418: 4385: 4354: 4307: 4300: 4291:Higgs mechanism 4269: 4265: 4260: 4163: 4158: 4128: 4123: 4107: 4061:Nuclear physics 4010: 3974: 3910:Davydov soliton 3883: 3848: 3822: 3783: 3711: 3683: 3610: 3519: 3419: 3378: 3332: 3310: 3292: 3251: 3171: 3080: 3075: 3026:The quark model 3009: 2945: 2930: 2925: 2924: 2908:10.1.1.453.4712 2881: 2877: 2870: 2813: 2809: 2772: 2768: 2747:(20): 598–602. 2735: 2731: 2703:Physical Review 2698: 2694: 2665: 2661: 2623:Nuclear Physics 2615: 2611: 2603: 2594: 2590: 2582: 2573: 2569: 2541:Physics Letters 2533: 2529: 2524: 2469: 2422: 2410:Harald Fritzsch 2406:William Bardeen 2383:Oscar Greenberg 2373: 2371: 2370: 2369: 2365: 2363: 2362: 2361: 2360: 2352: 2349: 2346: 2345: 2343: 2338: 2334: 2328: 2289: 2284: 2279: 2261: 2248: 2247: 2243: 2237: 2233: 2231: 2228: 2227: 2173: 2168: 2163: 2162: 2160: 2142: 2129: 2128: 2124: 2119: 2117: 2114: 2113: 2072: 2067: 2066: 2060: 2055: 2054: 2048: 2043: 2042: 2037: 2025: 2020: 2019: 2013: 2008: 2007: 2001: 1996: 1995: 1990: 1978: 1973: 1972: 1966: 1961: 1960: 1954: 1949: 1948: 1943: 1931: 1926: 1925: 1919: 1914: 1913: 1907: 1902: 1901: 1896: 1884: 1879: 1878: 1872: 1867: 1866: 1860: 1855: 1854: 1849: 1837: 1832: 1831: 1825: 1820: 1819: 1813: 1808: 1807: 1802: 1790: 1785: 1784: 1778: 1773: 1772: 1766: 1761: 1760: 1755: 1740: 1735: 1734: 1728: 1723: 1722: 1716: 1711: 1710: 1705: 1690: 1685: 1684: 1678: 1673: 1672: 1666: 1661: 1660: 1655: 1637: 1625: 1620: 1619: 1614: 1612: 1609: 1608: 1600: 1598: 1597: 1596: 1592: 1590: 1589: 1588: 1587: 1578: 1576: 1575: 1574: 1570: 1568: 1567: 1566: 1565: 1560: 1558: 1557: 1556: 1552: 1550: 1549: 1548: 1547: 1538: 1536: 1535: 1534: 1530: 1528: 1527: 1526: 1525: 1520: 1518: 1517: 1516: 1512: 1510: 1509: 1508: 1507: 1502: 1500: 1499: 1498: 1494: 1492: 1491: 1490: 1489: 1480: 1478: 1477: 1476: 1472: 1470: 1469: 1468: 1467: 1462: 1460: 1459: 1458: 1454: 1452: 1451: 1450: 1449: 1444: 1442: 1441: 1440: 1436: 1434: 1433: 1432: 1431: 1426: 1424: 1423: 1422: 1418: 1416: 1415: 1414: 1413: 1401: 1398: 1395: 1394: 1392: 1387: 1382: 1380: 1379: 1378: 1374: 1372: 1371: 1370: 1369: 1360: 1358: 1357: 1356: 1352: 1350: 1349: 1348: 1347: 1342: 1340: 1339: 1338: 1334: 1332: 1331: 1330: 1329: 1320: 1318: 1317: 1316: 1312: 1310: 1309: 1308: 1307: 1302: 1300: 1299: 1298: 1294: 1292: 1291: 1290: 1289: 1284: 1282: 1281: 1280: 1276: 1274: 1273: 1272: 1271: 1262: 1260: 1259: 1258: 1254: 1252: 1251: 1250: 1249: 1244: 1242: 1241: 1240: 1236: 1234: 1233: 1232: 1231: 1219: 1216: 1213: 1212: 1210: 1205: 1195: 1163: 1158: 1157: 1143: 1138: 1137: 1129: 1127: 1124: 1123: 1094: 1089: 1088: 1079: 1074: 1073: 1064: 1059: 1058: 1049: 1044: 1043: 1035: 1027: 1019: 1017: 1014: 1013: 978: 973: 972: 963: 958: 957: 948: 943: 942: 933: 928: 927: 919: 911: 903: 901: 898: 897: 869: 866: 863: 862: 860: 855: 832: 829: 826: 825: 823: 818: 808: 806:List of baryons 802: 796: 784: 753: 736: 678: 670: 663: 642: 640: 639: 638: 634: 632: 631: 630: 629: 624: 622: 621: 620: 616: 614: 613: 612: 611: 605: 603: 602: 601: 597: 595: 594: 593: 592: 587: 585: 584: 583: 579: 577: 576: 575: 574: 545: 537: 524: 516: 514: 511: 510: 485: 437: 427: 373: 371: 370: 369: 365: 363: 362: 361: 360: 353: 350: 347: 346: 344: 316:, developed by 275: 244: 241: 238: 237: 235: 226: 223: 220: 219: 217: 198: 195: 192: 191: 189: 186:electric charge 166: 163: 160: 159: 157: 96:quantum numbers 81:AndrĂ© Petermann 56:quantum numbers 17: 12: 11: 5: 4578: 4568: 4567: 4562: 4545: 4544: 4542: 4541: 4529: 4516: 4513: 4512: 4510: 4509: 4504: 4499: 4494: 4489: 4484: 4478: 4476: 4472: 4471: 4468: 4467: 4465: 4464: 4462:Twistor theory 4459: 4454: 4449: 4444: 4439: 4434: 4428: 4426: 4420: 4419: 4417: 4416: 4411: 4406: 4401: 4395: 4393: 4387: 4386: 4384: 4383: 4378: 4373: 4368: 4362: 4360: 4356: 4355: 4353: 4352: 4347: 4342: 4341: 4340: 4330: 4325: 4319: 4317: 4310: 4308:Standard Model 4302: 4301: 4299: 4298: 4293: 4288: 4283: 4277: 4275: 4271: 4270: 4263: 4261: 4259: 4258: 4257: 4256: 4251: 4246: 4241: 4236: 4226: 4225: 4224: 4219: 4214: 4204: 4199: 4194: 4193: 4192: 4187: 4182: 4171: 4169: 4165: 4164: 4161:Standard Model 4157: 4156: 4149: 4142: 4134: 4125: 4124: 4120:Physics portal 4112: 4109: 4108: 4106: 4105: 4100: 4095: 4090: 4085: 4080: 4075: 4074: 4073: 4063: 4058: 4053: 4048: 4043: 4042: 4041: 4034:Standard Model 4031: 4030: 4029: 4018: 4016: 4012: 4011: 4009: 4008: 4003: 4001:Quasiparticles 3998: 3993: 3988: 3982: 3980: 3976: 3975: 3973: 3972: 3967: 3962: 3957: 3952: 3947: 3942: 3937: 3932: 3927: 3922: 3917: 3912: 3907: 3901: 3899: 3897:Quasiparticles 3893: 3892: 3889: 3888: 3885: 3884: 3882: 3881: 3876: 3871: 3866: 3860: 3858: 3854: 3853: 3850: 3849: 3847: 3846: 3841: 3836: 3830: 3828: 3824: 3823: 3821: 3820: 3815: 3810: 3804: 3802: 3791: 3785: 3784: 3782: 3781: 3776: 3771: 3770: 3769: 3764: 3759: 3754: 3749: 3744: 3734: 3729: 3723: 3721: 3717: 3716: 3713: 3712: 3710: 3709: 3704: 3693: 3691: 3689:Exotic hadrons 3685: 3684: 3682: 3681: 3676: 3671: 3666: 3661: 3656: 3651: 3646: 3641: 3636: 3631: 3626: 3620: 3618: 3612: 3611: 3609: 3608: 3603: 3598: 3593: 3588: 3583: 3582: 3581: 3576: 3571: 3566: 3555: 3553: 3544: 3535: 3529: 3528: 3525: 3524: 3521: 3520: 3518: 3517: 3515:X and Y bosons 3512: 3507: 3502: 3497: 3492: 3487: 3482: 3477: 3472: 3467: 3462: 3457: 3452: 3447: 3442: 3437: 3431: 3429: 3425: 3424: 3421: 3420: 3418: 3417: 3407: 3402: 3397: 3392: 3386: 3384: 3380: 3379: 3377: 3376: 3371: 3366: 3360: 3358: 3349: 3340: 3334: 3333: 3331: 3330: 3324: 3322: 3316: 3315: 3312: 3311: 3309: 3308: 3302: 3300: 3294: 3293: 3291: 3290: 3288:W and Z bosons 3285: 3280: 3274: 3272: 3263: 3257: 3256: 3253: 3252: 3250: 3249: 3248: 3247: 3242: 3237: 3232: 3227: 3222: 3212: 3207: 3202: 3197: 3192: 3187: 3181: 3179: 3173: 3172: 3170: 3169: 3164: 3159: 3154: 3149: 3144: 3142:Strange (quark 3139: 3134: 3129: 3124: 3119: 3114: 3108: 3106: 3097: 3088: 3082: 3081: 3074: 3073: 3066: 3059: 3051: 3045: 3044: 3032:W. A. Benjamin 3019: 3013: 3008:978-1483242729 3007: 2994: 2929: 2926: 2923: 2922: 2875: 2868: 2851:hep-ph/0211388 2807: 2766: 2729: 2692: 2659: 2630:(2): 349–352. 2609: 2588: 2567: 2548:(3): 214–215. 2526: 2525: 2523: 2520: 2519: 2518: 2505: 2503:exotic baryons 2495:Exotic hadrons 2492: 2475: 2468: 2465: 2452:exotic hadrons 2421: 2418: 2398:Yoichiro Nambu 2372: 2364: 2330:Main article: 2327: 2324: 2320: 2319: 2308: 2302: 2299: 2296: 2278: 2274: 2268: 2265: 2260: 2255: 2252: 2246: 2240: 2236: 2221: 2220: 2209: 2206: 2203: 2200: 2197: 2194: 2191: 2188: 2182: 2159: 2155: 2149: 2146: 2141: 2136: 2133: 2127: 2089: 2083: 2080: 2075: 2063: 2051: 2040: 2036: 2033: 2028: 2016: 2004: 1993: 1989: 1986: 1981: 1969: 1957: 1946: 1942: 1939: 1934: 1922: 1910: 1899: 1895: 1892: 1887: 1875: 1863: 1852: 1848: 1845: 1840: 1828: 1816: 1805: 1801: 1798: 1793: 1781: 1769: 1758: 1754: 1751: 1748: 1743: 1731: 1719: 1708: 1704: 1701: 1698: 1693: 1681: 1669: 1658: 1654: 1651: 1645: 1641: 1636: 1633: 1628: 1617: 1599: 1591: 1577: 1569: 1559: 1551: 1537: 1529: 1519: 1511: 1501: 1493: 1479: 1471: 1461: 1453: 1443: 1435: 1425: 1417: 1381: 1373: 1359: 1351: 1341: 1333: 1319: 1311: 1301: 1293: 1283: 1275: 1261: 1253: 1243: 1235: 1179: 1170: 1167: 1161: 1156: 1150: 1147: 1141: 1136: 1132: 1105: 1097: 1092: 1087: 1082: 1077: 1072: 1067: 1062: 1057: 1052: 1047: 1042: 1038: 1034: 1030: 1026: 1022: 989: 981: 976: 971: 966: 961: 956: 951: 946: 941: 936: 931: 926: 922: 918: 914: 910: 906: 798:Main article: 795: 792: 761: 760: 730: 714: 704: 641: 633: 623: 615: 604: 596: 586: 578: 567: 566: 555: 548: 544: 540: 536: 531: 528: 523: 519: 435:List of mesons 426: 423: 372: 364: 303:Chen-Ning Yang 283:Wolfgang Pauli 274: 271: 267:SU(3) symmetry 118:stand for the 89:Standard Model 60:"flavor SU(3)" 15: 9: 6: 4: 3: 2: 4577: 4566: 4563: 4561: 4558: 4557: 4555: 4540: 4539: 4530: 4528: 4527: 4518: 4517: 4514: 4508: 4505: 4503: 4500: 4498: 4495: 4493: 4490: 4488: 4485: 4483: 4480: 4479: 4477: 4473: 4463: 4460: 4458: 4455: 4453: 4450: 4448: 4445: 4443: 4440: 4438: 4435: 4433: 4432:String theory 4430: 4429: 4427: 4425: 4421: 4415: 4412: 4410: 4407: 4405: 4402: 4400: 4397: 4396: 4394: 4392: 4391:Supersymmetry 4388: 4382: 4379: 4377: 4374: 4372: 4369: 4367: 4364: 4363: 4361: 4357: 4351: 4348: 4346: 4343: 4339: 4336: 4335: 4334: 4331: 4329: 4326: 4324: 4321: 4320: 4318: 4314: 4311: 4309: 4303: 4297: 4294: 4292: 4289: 4287: 4284: 4282: 4279: 4278: 4276: 4272: 4255: 4252: 4250: 4247: 4245: 4242: 4240: 4237: 4235: 4232: 4231: 4230: 4227: 4223: 4220: 4218: 4215: 4213: 4210: 4209: 4208: 4205: 4203: 4200: 4198: 4195: 4191: 4188: 4186: 4183: 4181: 4178: 4177: 4176: 4173: 4172: 4170: 4166: 4162: 4155: 4150: 4148: 4143: 4141: 4136: 4135: 4132: 4122: 4121: 4116: 4110: 4104: 4101: 4099: 4096: 4094: 4091: 4089: 4086: 4084: 4081: 4079: 4078:Exotic matter 4076: 4072: 4069: 4068: 4067: 4066:Eightfold way 4064: 4062: 4059: 4057: 4056:Antiparticles 4054: 4052: 4049: 4047: 4044: 4040: 4037: 4036: 4035: 4032: 4028: 4025: 4024: 4023: 4020: 4019: 4017: 4013: 4007: 4004: 4002: 3999: 3997: 3994: 3992: 3989: 3987: 3984: 3983: 3981: 3977: 3971: 3968: 3966: 3963: 3961: 3958: 3956: 3953: 3951: 3948: 3946: 3943: 3941: 3938: 3936: 3933: 3931: 3928: 3926: 3923: 3921: 3918: 3916: 3913: 3911: 3908: 3906: 3903: 3902: 3900: 3898: 3894: 3880: 3877: 3875: 3872: 3870: 3867: 3865: 3862: 3861: 3859: 3855: 3845: 3842: 3840: 3837: 3835: 3832: 3831: 3829: 3825: 3819: 3816: 3814: 3811: 3809: 3806: 3805: 3803: 3799: 3795: 3792: 3790: 3786: 3780: 3777: 3775: 3772: 3768: 3765: 3763: 3760: 3758: 3755: 3753: 3750: 3748: 3745: 3743: 3740: 3739: 3738: 3735: 3733: 3730: 3728: 3727:Atomic nuclei 3725: 3724: 3722: 3718: 3708: 3705: 3702: 3698: 3695: 3694: 3692: 3690: 3686: 3680: 3677: 3675: 3672: 3670: 3667: 3665: 3662: 3660: 3659:Upsilon meson 3657: 3655: 3652: 3650: 3647: 3645: 3642: 3640: 3637: 3635: 3632: 3630: 3627: 3625: 3622: 3621: 3619: 3617: 3613: 3607: 3604: 3602: 3599: 3597: 3594: 3592: 3591:Lambda baryon 3589: 3587: 3584: 3580: 3577: 3575: 3572: 3570: 3567: 3565: 3562: 3561: 3560: 3557: 3556: 3554: 3552: 3548: 3545: 3543: 3539: 3536: 3534: 3530: 3516: 3513: 3511: 3508: 3506: 3503: 3501: 3498: 3496: 3493: 3491: 3488: 3486: 3483: 3481: 3478: 3476: 3473: 3471: 3468: 3466: 3463: 3461: 3458: 3456: 3453: 3451: 3450:Dual graviton 3448: 3446: 3443: 3441: 3438: 3436: 3433: 3432: 3430: 3426: 3415: 3411: 3408: 3406: 3403: 3401: 3398: 3396: 3393: 3391: 3388: 3387: 3385: 3381: 3375: 3372: 3370: 3367: 3365: 3362: 3361: 3359: 3357: 3353: 3350: 3348: 3347:Superpartners 3344: 3341: 3339: 3335: 3329: 3326: 3325: 3323: 3321: 3317: 3307: 3304: 3303: 3301: 3299: 3295: 3289: 3286: 3284: 3281: 3279: 3276: 3275: 3273: 3271: 3267: 3264: 3262: 3258: 3246: 3243: 3241: 3238: 3236: 3233: 3231: 3230:Muon neutrino 3228: 3226: 3223: 3221: 3218: 3217: 3216: 3213: 3211: 3208: 3206: 3203: 3201: 3198: 3196: 3193: 3191: 3188: 3186: 3183: 3182: 3180: 3178: 3174: 3168: 3165: 3163: 3162:Bottom (quark 3160: 3158: 3155: 3153: 3150: 3148: 3145: 3143: 3140: 3138: 3135: 3133: 3130: 3128: 3125: 3123: 3120: 3118: 3115: 3113: 3110: 3109: 3107: 3105: 3101: 3098: 3096: 3092: 3089: 3087: 3083: 3079: 3072: 3067: 3065: 3060: 3058: 3053: 3052: 3049: 3041: 3037: 3033: 3028: 3027: 3020: 3018: 3017:Lecture notes 3014: 3010: 3004: 3000: 2995: 2991: 2987: 2983: 2979: 2975: 2971: 2966: 2961: 2957: 2953: 2952: 2944: 2940: 2937: 2932: 2931: 2918: 2914: 2909: 2904: 2900: 2896: 2892: 2888: 2887: 2879: 2871: 2869:0-471-29292-3 2865: 2861: 2857: 2852: 2847: 2843: 2839: 2835: 2830: 2829:annihilation" 2828: 2825: 2821: 2811: 2803: 2799: 2795: 2791: 2787: 2783: 2782: 2777: 2770: 2762: 2758: 2754: 2750: 2746: 2742: 2741: 2733: 2725: 2721: 2717: 2713: 2709: 2705: 2704: 2696: 2687: 2682: 2678: 2677:Moscow Oblast 2674: 2670: 2663: 2655: 2651: 2647: 2643: 2638: 2633: 2629: 2625: 2624: 2619: 2618:Petermann, A. 2613: 2602: 2598: 2592: 2581: 2577: 2571: 2563: 2559: 2555: 2551: 2547: 2543: 2542: 2537: 2536:Gell-Mann, M. 2531: 2527: 2517: 2513: 2509: 2506: 2504: 2500: 2499:exotic mesons 2496: 2493: 2491: 2487: 2483: 2479: 2476: 2474: 2471: 2470: 2464: 2462: 2458: 2454: 2453: 2448: 2444: 2443: 2438: 2434: 2431: 2427: 2417: 2415: 2411: 2407: 2402: 2399: 2395: 2394:Moo-Young Han 2390: 2388: 2387:para-fermions 2384: 2380: 2341: 2333: 2323: 2306: 2276: 2272: 2266: 2263: 2258: 2253: 2250: 2244: 2238: 2226: 2225: 2224: 2201: 2195: 2189: 2180: 2157: 2153: 2147: 2144: 2139: 2134: 2131: 2125: 2112: 2111: 2110: 2107: 2103: 2100: 2087: 2034: 1987: 1940: 1893: 1846: 1799: 1752: 1749: 1702: 1699: 1652: 1643: 1639: 1634: 1605: 1585: 1545: 1487: 1411: 1390: 1367: 1327: 1269: 1266:), the three 1229: 1208: 1202: 1198: 1193: 1177: 1168: 1165: 1154: 1148: 1145: 1134: 1121: 1116: 1103: 1095: 1085: 1080: 1070: 1065: 1055: 1050: 1040: 1032: 1024: 1011: 1007: 1002: 987: 979: 969: 964: 954: 949: 939: 934: 924: 916: 908: 894: 890: 886: 878: 858: 853: 849: 842: 839:ground state 821: 816: 812: 807: 801: 791: 787: 782: 778: 774: 770: 766: 756: 751: 750: 745: 739: 735: 731: 728: 727: 722: 718: 715: 712: 708: 705: 702: 698: 694: 690: 685: 681: 676: 675: 674: 669: 662: 658: 657:baryon number 653: 651: 647: 637:η′ 600:η′ 571: 553: 542: 534: 521: 509: 508: 507: 505: 501: 497: 493: 488: 483: 480: 476: 472: 464: 463:Vector mesons 460: 456: 449: 445: 441: 436: 432: 422: 420: 416: 412: 407: 405: 401: 397: 393: 388: 386: 382: 378: 341: 339: 335: 331: 330:Yuval Ne'eman 327: 326:Eightfold Way 324:, led to the 323: 319: 315: 310: 308: 304: 300: 296: 292: 291:Leon Lederman 288: 284: 280: 270: 268: 264: 260: 256: 254: 250: 215: 214:bottom quarks 211: 207: 187: 183: 179: 175: 155: 154:baryon number 150: 148: 144: 140: 136: 131: 129: 125: 121: 117: 113: 109: 105: 101: 97: 92: 90: 86: 82: 78: 74: 69: 65: 64:Eightfold Way 61: 57: 53: 49: 45: 41: 33: 32:Eightfold Way 29: 25: 21: 4536: 4524: 4414:Supergravity 4274:Constituents 4254:Weak isospin 4221: 4212:Color charge 4202:Gauge theory 4118: 4070: 3789:Hypothetical 3737:Exotic atoms 3606:Omega baryon 3596:Sigma baryon 3586:Delta baryon 3338:Hypothetical 3320:Ghost fields 3306:Higgs boson 3240:Tau neutrino 3132:Charm (quark 3025: 2998: 2955: 2949: 2935: 2934:S. Eidelman 2890: 2884: 2878: 2833: 2826: 2823: 2819: 2810: 2788:(4B): 1006. 2785: 2779: 2769: 2744: 2738: 2732: 2707: 2701: 2695: 2668: 2662: 2627: 2621: 2612: 2591: 2570: 2545: 2539: 2530: 2450: 2446: 2440: 2433:wavefunction 2423: 2403: 2391: 2359:baryon, the 2339: 2335: 2332:Color charge 2321: 2222: 2108: 2104: 2101: 1606: 1388: 1206: 1203: 1196: 1191: 1117: 1006:basis states 1003: 893:wavefunction 882: 856: 851: 819: 814: 785: 780: 776: 772: 768: 764: 762: 754: 747: 737: 725: 716: 706: 700: 696: 692: 688: 683: 679: 654: 572: 568: 503: 495: 486: 474: 468: 458: 443: 408: 392:George Zweig 389: 342: 311: 307:Sakata model 299:Enrico Fermi 295:Luis Alvarez 287:Enrico Fermi 276: 257: 204:, while the 151: 137:such as the 132: 115: 111: 107: 103: 93: 77:George Zweig 43: 37: 23: 4475:Experiments 4366:Technicolor 4328:Dark matter 4222:Quark model 4190:Higgs boson 4185:Gauge boson 4071:Quark model 3839:Theta meson 3742:Positronium 3654:Omega meson 3649:J/psi meson 3579:Antineutron 3490:Dark photon 3455:Graviphoton 3414:Stop squark 3122:Down (quark 2822:decay, and 2461:pentaquarks 2457:tetraquarks 1582:), and the 1364:), and the 1324:), the two 746:called the 143:strangeness 44:quark model 4554:Categories 4482:Gran Sasso 4306:Beyond the 4281:CKM matrix 4168:Background 3813:Heptaquark 3774:Superatoms 3707:Pentaquark 3697:Tetraquark 3679:Quarkonium 3569:Antiproton 3470:Leptoquark 3405:Neutralino 3167:antiquark) 3157:antiquark) 3152:Top (quark 3147:antiquark) 3137:antiquark) 3127:antiquark) 3117:antiquark) 3086:Elementary 3040:B001RAVDIA 2958:(1–4): 1. 2928:References 2893:(4): 365. 2840:. p.  2679:, Russia. 2516:QCD vacuum 804:See also: 771:= 1, thus 752:such that 429:See also: 340:of SU(3). 182:top quarks 128:C-symmetry 124:P-symmetry 4051:Particles 3996:Particles 3955:Polariton 3945:Plasmaron 3915:Dropleton 3808:Hexaquark 3779:Molecules 3767:Protonium 3644:Phi meson 3629:Rho meson 3601:Xi baryon 3533:Composite 3369:Gravitino 3112:Up (quark 2990:118588567 2903:CiteSeerX 2686:1412.8681 2637:1412.8681 2597:Zweig, G. 2576:Zweig, G. 2455:(such as 2442:glueballs 2235:Δ 2223:and the 2202:− 2196:− 2079:⟩ 2074:↑ 2062:↑ 2050:↓ 2035:− 2032:⟩ 2027:↓ 2015:↑ 2003:↑ 1988:− 1985:⟩ 1980:↑ 1968:↓ 1956:↑ 1941:− 1938:⟩ 1933:↑ 1921:↑ 1909:↓ 1894:− 1891:⟩ 1886:↓ 1874:↑ 1862:↑ 1847:− 1844:⟩ 1839:↑ 1827:↓ 1815:↑ 1800:− 1797:⟩ 1792:↑ 1780:↑ 1768:↓ 1747:⟩ 1742:↓ 1730:↑ 1718:↑ 1697:⟩ 1692:↑ 1680:↓ 1668:↑ 1632:⟩ 1627:↑ 1484:), three 1155:⊕ 1086:⊕ 1071:⊕ 1056:⊕ 1033:⊗ 1025:⊗ 970:⊕ 955:⊕ 940:⊕ 917:⊗ 909:⊗ 703:= 0 or 1, 687:| ≀ 650:instanton 543:⊕ 530:¯ 522:⊗ 343:The spin- 62:, or the 4526:Category 4507:Tevatron 4359:Theories 4316:Evidence 4180:Fermions 4027:timeline 3879:R-hadron 3834:Glueball 3818:Skyrmion 3752:Tauonium 3465:Inflaton 3460:Graviton 3440:Curvaton 3410:Sfermion 3400:Higgsino 3395:Chargino 3356:Gauginos 3215:Neutrino 3200:Antimuon 3190:Positron 3185:Electron 3095:Fermions 2941:(2004). 2673:Protvino 2599:(1964). 2467:See also 1228:nucleons 885:fermions 879:decuplet 852:Figure 5 815:Figure 4 749:G-parity 699:, where 591:and the 459:Figure 3 444:Figure 2 402:", and " 253:fermions 184:have an 106:, where 24:Figure 1 4560:Hadrons 4538:Commons 4502:Super-K 4338:problem 4015:Related 3986:Baryons 3960:Polaron 3950:Plasmon 3925:Fracton 3920:Exciton 3874:Diquark 3869:Pomeron 3844:T meson 3801:Baryons 3762:Pionium 3747:Muonium 3674:D meson 3669:B meson 3574:Neutron 3559:Nucleon 3551:Baryons 3542:Hadrons 3505:Tachyon 3480:Majoron 3445:Dilaton 3374:Photino 3210:Antitau 3177:Leptons 2970:Bibcode 2895:Bibcode 2856:Bibcode 2790:Bibcode 2749:Bibcode 2712:Bibcode 2642:Bibcode 2550:Bibcode 2482:baryons 2478:Hadrons 2447:hybrids 2356:⁠ 2344:⁠ 1542:), two 1405:⁠ 1393:⁠ 1386:). The 1223:⁠ 1211:⁠ 873:⁠ 861:⁠ 836:⁠ 824:⁠ 794:Baryons 734:isospin 673:, then 404:strange 357:⁠ 345:⁠ 279:hadrons 273:History 263:baryons 248:⁠ 236:⁠ 230:⁠ 218:⁠ 210:strange 202:⁠ 190:⁠ 170:⁠ 158:⁠ 139:isospin 68:hadrons 48:hadrons 4565:Quarks 3991:Mesons 3940:Phonon 3935:Magnon 3857:Others 3827:Mesons 3720:Others 3616:Mesons 3564:Proton 3428:Others 3383:Others 3364:Gluino 3298:Scalar 3278:Photon 3261:Bosons 3104:Quarks 3038:  3005:  2988:  2936:et al. 2905:  2866:  2514:, the 2512:flavor 2490:quarks 2486:mesons 2437:gluons 2412:, and 2368:Δ 2304:  2085:  1595:Ω 1573:Ξ 1555:Ξ 1533:Σ 1515:Σ 1497:Σ 1486:Sigmas 1475:Δ 1457:Δ 1439:Δ 1421:Δ 1410:Deltas 1377:Λ 1366:Lambda 1355:Ξ 1337:Ξ 1315:Σ 1297:Σ 1279:Σ 1268:Sigmas 1175:  1101:  985:  887:, the 877:baryon 854:. The 841:baryon 817:. The 800:Baryon 781:exotic 757:= (−1) 721:flavor 677:| 646:puzzle 619:η 582:η 551:  479:flavor 425:Mesons 411:Quarks 377:baryon 368:Ω 259:Mesons 212:, and 126:, and 52:quarks 42:, the 26:: The 4404:NMSSM 3979:Lists 3970:Trion 3965:Roton 3905:Anyon 3732:Atoms 3495:Preon 3435:Axion 3390:Axino 3283:Gluon 3270:Gauge 2986:S2CID 2960:arXiv 2946:(PDF) 2846:arXiv 2681:arXiv 2632:arXiv 2604:(PDF) 2583:(PDF) 2522:Notes 1584:Omega 1122:into 1120:SU(3) 1010:SU(6) 843:octet 482:SU(3) 431:Meson 234:spin- 178:charm 147:charm 4399:MSSM 3930:Hole 3757:Onia 3664:Kaon 3624:Pion 3195:Muon 3036:ASIN 3003:ISBN 2864:ISBN 2501:and 2488:and 2396:and 2381:). 1204:The 732:For 668:spin 433:and 400:down 398:", " 320:and 312:The 301:and 206:down 188:of + 180:and 114:and 4497:SNO 4492:LHC 4487:INO 3205:Tau 2978:doi 2956:592 2913:doi 2842:139 2798:doi 2786:139 2757:doi 2720:doi 2708:172 2650:doi 2558:doi 2463:). 2459:or 1604:). 1544:Xis 1326:Xis 1199:= 0 790:). 788:= 0 763:If 740:= 1 156:of 38:In 4556:: 3034:. 3030:. 2984:. 2976:. 2968:. 2954:. 2948:. 2911:. 2901:. 2891:47 2889:. 2862:. 2854:. 2844:. 2836:. 2796:. 2784:. 2778:. 2755:. 2745:13 2743:. 2718:. 2706:. 2675:, 2648:. 2640:. 2628:63 2626:. 2556:. 2544:. 2510:, 2497:: 2484:, 2480:, 2416:. 2408:, 2389:. 2342:= 1644:18 1564:, 1524:, 1506:, 1466:, 1448:, 1430:, 1391:= 1346:, 1306:, 1288:, 1248:, 1209:= 1140:10 1131:56 1091:20 1076:70 1061:70 1046:56 930:10 859:= 822:= 773:PC 695:+ 691:≀ 682:− 502:, 494:, 473:, 461:: 446:: 396:up 208:, 176:, 174:Up 172:. 145:, 141:, 122:, 110:, 91:. 4153:e 4146:t 4139:v 3703:) 3699:( 3416:) 3412:( 3070:e 3063:t 3056:v 3042:. 3011:. 2992:. 2980:: 2972:: 2962:: 2919:. 2915:: 2897:: 2872:. 2858:: 2848:: 2827:e 2824:e 2820:π 2804:. 2800:: 2792:: 2763:. 2759:: 2751:: 2726:. 2722:: 2714:: 2689:. 2683:: 2656:. 2652:: 2644:: 2634:: 2564:. 2560:: 2552:: 2546:8 2353:2 2350:/ 2347:3 2340:S 2307:. 2301:] 2295:[ 2291:d 2286:u 2281:u 2277:= 2273:) 2267:2 2264:3 2259:, 2254:3 2251:3 2245:( 2239:+ 2208:] 2190:2 2187:[ 2181:6 2175:d 2170:u 2165:u 2158:= 2154:) 2148:2 2145:1 2140:, 2135:2 2132:1 2126:( 2121:p 2088:. 2082:] 2069:d 2057:u 2045:u 2039:| 2022:u 2010:u 1998:d 1992:| 1975:u 1963:u 1951:d 1945:| 1928:u 1916:d 1904:u 1898:| 1881:u 1869:d 1857:u 1851:| 1834:d 1822:u 1810:u 1804:| 1787:u 1775:u 1763:d 1757:| 1753:2 1750:+ 1737:d 1725:u 1713:u 1707:| 1703:2 1700:+ 1687:u 1675:d 1663:u 1657:| 1653:2 1650:[ 1640:1 1635:= 1622:p 1616:| 1586:( 1546:( 1488:( 1412:( 1402:2 1399:/ 1396:3 1389:S 1368:( 1328:( 1270:( 1257:n 1239:p 1230:( 1220:2 1217:/ 1214:1 1207:S 1197:L 1192:S 1178:, 1169:2 1166:1 1160:8 1149:2 1146:3 1135:= 1104:. 1096:A 1081:M 1066:M 1051:S 1041:= 1037:6 1029:6 1021:6 988:. 980:A 975:1 965:M 960:8 950:M 945:8 935:S 925:= 921:3 913:3 905:3 870:2 867:/ 864:3 857:S 833:2 830:/ 827:1 820:S 786:J 769:S 765:P 759:. 755:G 738:I 729:. 726:C 717:C 707:P 701:S 697:S 693:L 689:J 684:S 680:L 671:S 664:L 628:– 554:. 547:1 539:8 535:= 527:3 518:3 504:8 496:1 487:3 475:3 354:2 351:/ 348:3 245:2 242:/ 239:1 227:3 224:/ 221:1 199:3 196:/ 193:2 167:3 164:/ 161:1 116:C 112:P 108:J 104:J 102:—

Index


pseudoscalar meson
Eightfold Way
particle physics
hadrons
quarks
quantum numbers
"flavor SU(3)"
Eightfold Way
hadrons
Murray Gell-Mann
George Zweig
André Petermann
quantum field theory
Standard Model
quantum numbers
Poincaré symmetry
total angular momentum
P-symmetry
C-symmetry
flavor quantum numbers
isospin
strangeness
charm
baryon number
Up
charm
top quarks
electric charge
down

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