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 If chromomagnetism does not work, why not chromo-electricity? It works! at least in a certain limit Miracle: all theorists agree! instead of fighting. Consider first a simple additive model with colour factors, and next a better modelling of confinement. The additive model with colour factors reads V = − 16 3 ˜λi. ˜ λj v(rij) , i
Few-charge systems History of the quark model Mesons Baryons Multiquarks and other exotics Outlook Chromoelectric binding: equal masses Both Ps2 and (qq¯q¯q), and their thresholds are governed by H4 = i p2 i 2 m − [ pi ] 2 8 m + gij v(rij) , gij = 2 , For this family of Hamiltonians, the highest ground state obtained for gij = ¯g = 2/15. Then, the more one departs from this symmetric case, the lower the binding Can be measured by the variance of the {gij} set of coefficients 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 i
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An introduction to the quark model

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