1204.0412 (E. M. Tursunov)

The spectrum of the excited $N^*$ and $Δ^*$ baryons in a
relativistic chiral quark model    [PDF]

E. M. Tursunov

The spectrum of the SU(2) flavor baryons is calculated in the frame of a relativistic chiral quark potential model based on the one-pion and one gluon exchange mechanisms. The convergence of the self-energy was obtained for the valence quark states up to and including $1D_{5/2}$. It is argued that the $N^*$ and $\Delta^*$ resonances appearing in the $\pi N$ scattering data and strongly coupled to the $\pi N$ channel are identified with the orbital configurations $(1S_{1/2})^2(nlj)$. Based on obtained selection rules it is shown that the assignment of baryon resonances with given quantum numbers is consistent with the data. At low energy scale up to 2000 MeV, the obtained numerical estimations for the SU(2) baryon states (up to and including F-wave $N^*$ and $\Delta^*$ resonances) are in a reasonable agreement with the experimental data. The radially excited baryon resonances are mostly overestimated, while the orbitally excited Nucleon and Delta resonances are underestimated. At higher energies, where the experimental data are poor, we can extend our model schematically and predict seven new $N^*$ and four $\Delta^*$ resonances with larger spin values.

View original: http://arxiv.org/abs/1204.0412