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SPECTRUM OF THE EXCITED N* AND Δ* BARYONS IN A RELATIVISTIC CHIRAL QUARK MODEL

E. M. TursunovInstitute of Nuclear Physics, Uzbekistan Academy of Sciences, 100214, Ulugbek, Tashkent, UzbekistanS. KrewaldInstitute fuer Kernhysik, Forschungszentrum Juelich, 52425, Juelich, Germany
ABI

Аннотация

The spectrum of the SU(2) flavor baryons is studied in the frame of a relativistic chiral quark potential model based on the one-pion and one-gluon exchange mechanisms. All the N* and Δ* resonances appearing in the πN scattering data are identified with the orbital configurations (1S 1/2 ) 2 (nlj) with a single excited valence quark. The obtained selection rules allow one to construct a schematic periodic table of baryon resonances, consistent with the experimental data and yielding no "missing resonances". A new original method for the center of mass correction problem of the zero-order three-quark core energy values of the excited baryon resonances is suggested, which is based on the separation of the three-quark Dirac Hamiltonian into the parts, corresponding to the Jacobi coordinates. The numerical estimations for the energy positions of the Nucleon and Delta baryons, obtained within the field-theoretical framework, yield an overall good description of the experimental data at a level of the relativized Constituent quark model.

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