2011/03/18 by Tursunov, E. M.
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.1103.3661
A possibility of the construction of a periodic table for the excited baryon spectrum is shown in the frame of a relativistic chiral quark model based on selection rules derived from the one-pion exchange mechanism. It is shown that all the N^* and Δ^* resonances appearing in the πN scattering data and strongly coupling to the πN channel are identified with the orbital configurations (1S1/2)2(nlj). Baryon resonances corresponding to the orbital configuration with two valence quarks in excited states couple strongly to the ππN-channel, but not to the πN channel. 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 Δ^* resonances) within the schematic periodic table are mostly consistent with the experimental data. It is argued that due-to the overestimation of the ground state N(939) and Roper resonance N(1440) almost by the same amount and that the Roper resonance is a radial excitation of the N(939), the "lowering mechanism" for the both baryon states must be the same. The same mechanism is expected in the Δ sector. At higher energies, where the experimental data are poor, we can extend our model schematically and predict seven new N^* and four Δ^* resonances with larger spin values.