Decay of mesons in flux-tube quark model

Abstract

Strong decays of several light mesons are investigated in a flux-tube quark model, where a qq\ifmmode\bar\else\textasciimacron\fi{} pair is created either in the $^{3}\mathrm{S}_{1}$ state or in the $^{3}\mathrm{P}_{0}$ state within the flux tube. For comparison, decay rates are also calculated in a naive $^{3}\mathrm{P}_{0}$ model, where a qq\ifmmode\bar\else\textasciimacron\fi{} pair is created anywhere in the neighborhood of parent quarks. The sensitivity of the decay width to the radius of the pion, to relativistic factors like (m/E), and to final-state interactions is studied. Both the $^{3}\mathrm{S}_{1}$ and $^{3}\mathrm{P}_{0}$ models can explain the available data; however, the $^{3}\mathrm{S}_{1}$ model requires stronger final-state interactions.