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 Improvements: hyperfine structure Singlet governed by Vc − 3 Vss Triplet by Vc+, Vss So, in perturbation, 3 S1 − 1 S0 = 4 〈Vss〉S And for P states, 3 Pm − 1 P1 = 4 〈Vss〉P Where 3 Pm is an average spin-triplet, or say, a fictitious spin-triplet free of spin-orbit and tensor. To first order 3 Pm = [M( 3 P0) + 3 M( 3 P1) + 5 M( 3 P2)]/9 , but if spin-forces are treated non perturbatively, 3 Pm ≥ [M( 3 P0) + 3 M( 3 P1) + 5 M( 3 P2)]/9 , JMR Quark Model
Few-charge systems History of the quark model Mesons Baryons Multiquarks and other exotics Outlook The shaky history of spin singlets In 1977, a candidate for ηc claimed in Germany 300 MeV below the J/ψ, → a lot of excitation tentatively explained by relativistic dynamics, difficult to digest in most current models, not confirmed at SLAC, and eventually found about 120 MeV below J/ψ Then η ′ c = ηc(2S) predicted about 70–80 MeV below ψ ′ However, it was pointed out that loop effects tend to decrease this splitting substantially Intense search with antiprotons at Fermilbab, but in a range of too low masses, Eventually found at Belle, Cleo, etc. about 50 MeV below ψ ′ Interesting process of double-charm production JMR Quark Model
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An introduction to the quark model

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