An introduction to the quark model

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Few-charge systems History of the quark model Mesons Baryons Multiquarks and other exotics Outlook Chromoelectric binding: equal masses State Pair 12 34 13 24 14 23 ¯g ∆g Threshold 0 0 1 1 0 0 1/3 0.22 Ps2 −1 −1 1 1 −1 −1 1/3 0.89 T 1/2 1/2 1/4 1/4 1/4 1/4 1/3 0.01 M −1/4 −1/4 5/8 5/8 5/8 5/8 1/3 0.17 Ps2 is more asymmetric than its threshold: it is stable Both T-type and M-type of tetraquarks are less symmetric than their threshold, they are unstable Hence tetraquark with equal masses is penalised by the non-Abelian character of the theory JMR Quark Model
Few-charge systems History of the quark model Mesons Baryons Multiquarks and other exotics Outlook Chromoelectric binding: unequal masses Can another asymmetry overcome this problem? Yes! Remember (M + , M + , m − , m − ) becomes more stable as M/m departs from 1 The same mechanism makes (QQ¯q¯q) evolving from unbound to stable See Ader et al. (1982), Heller & Tjon, Brink & Stancu, Rosina & Janc, Barnea, Vijande & Valcarce, etc. The problem is the critical value of M/m required, (cc¯q¯q) bound or do we need (bb¯q¯q) Two b or not two b, that is the question! And what about a better potential JMR Quark Model
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An introduction to the quark model

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