Convergence of the self-energy in a relativistic chiral quark model: excited Nucleon and $\Delta$ sector

Abstract

A convergence of the valence quark self-energies in the 1S, 2S, $1P_{1/2}$, $1P_{3/2}$ orbits induced by pion and gluon field configurations, is shown in the frame of a relativistic chiral quark model. It is shown that in order to reach a convergence, one needs to include contribution of the intermediate quark and anti-quark states with the total momentum up to $j=25/2$. It is argued that a restriction to the lowest mode when estimating the self-energy is not good approximation.

8 pages, 3 figures

References in corpus (4)

• Resolution of the Proton Spin Problem
• Quark-meson coupling model with the cloudy bag
• The Spin of the Proton
• Relativistic structure of one-meson and one-gluon exchange forces and the lower excitation spectrum of the Nucleon and the Delta

Cited by in corpus (1)

• Spectrum of the excited $N^{\ast }$ and ${\Delta }^{\ast }$ baryons in a relativistic chiral quark model