The Hypercentral Constituent Quark Model

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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5 pages, 1 figure, Invited talk at Baryons 2002 Conference,9th International Conference on the structure of baryons (18-20 Sep

Scientific paper

The hypercentral constituent quark model contains a spin independent three-quark interaction inspired by lattice QCD calculations which reproduces the average energy of SU(6) multiplets. The splittings are obtained with a residual generalized SU(6)-breaking interaction including an isospin dependent term. The long standing problem of the Roper is absent and all the 3- and 4-star states are well reproduced. The model has been used in a systematic way for transverse and longitudinal electromagnetic transition form factor of the 3- and 4- star and also for the missing resonances. The prediction of the electromagnetic helicity amplitudes agrees quite well with the data except for low $Q^2$, showing that it can supply a realistic set of quark wave functions. In particular we report the calculated helicity amplitude $A_{1/2}$ for the $S11(1535)$, which is in agreement with the TJNAF data.

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