Pion decay of baryons in a flux-tube quark model

Abstract

Pion decay widths of nonstrange-baryon resonances are calculated based on the ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ quark-pair-creation model. The decay mechanism is consistent with the description of the nucleon and of the pion as having quark structure related to a flux-tube model motivated by QCD. The spectroscopic model has no adjustable parameter. The ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ model has one parameter which we fit to reproduce the Δ(1232) decay width. The results for 19 resonances are compared to experiment and to results obtained from the pseudoscalar-emission model. This sheds some light on the role of the finite size of the pion.