Relativistic corrections to decays of heavy baryons in the quark model

TL;DR

This paper studies relativistic corrections of order 1/m^2 in heavy baryon decays within the quark model, showing these corrections significantly improve decay width predictions and explain axial coupling suppression.

Contribution

It introduces the calculation of relativistic corrections of order 1/m^2 to heavy baryon decays, addressing previous nonrelativistic model shortcomings.

Findings

Relativistic corrections increase decay widths significantly.

Corrections explain suppression of quark axial-vector coupling constants.

Improves agreement with experimental decay properties.

Abstract

We investigate relativistic corrections of order $1/m^{2}$, where $m$ is the constituent quark mass, to heavy baryon decays by emitting one pseudoscalar meson in the quark model. This work is motivated by shortcomings in the previous studies in the nonrelativistic quark model for decays of the Roper-like states such as $\Lambda_c(2765)$. We find that the relativistic corrections due to the internal motion of quarks are essential ingredients in improving their decay properties such that the decay widths are significantly increased. In addition, such corrections can explain a phenomenological suppression of the quark axial-vector coupling constant $g_A^q$ for the $\Sigma_c(2455)$ and $\Sigma_c(2520)$ decays.