Axial-vector transition form factors of the singly heavy baryons

TL;DR

This paper studies the axial-vector transition form factors of singly heavy baryons using the chiral quark-soliton model, analyzing symmetry breaking effects and comparing decay rate predictions with experimental data.

Contribution

It provides numerical results for axial-vector transition form factors and decay rates, considering SU(3) symmetry breaking effects within a chiral quark-soliton framework.

Findings

Flavor SU(3) symmetry breaking effects are negligible.

Decay rates for certain transitions agree well with experimental data.

Some decay rate predictions are slightly overestimated.

Abstract

We investigate the axial-vector transition form factors of the lowest-lying singly heavy baryons within the framework of the chiral quark-soliton model. We consider the linear $m_{\mathrm{s}}$ corrections, dealing with the strange current quark mass $m_{\mathrm{s}}$ as a small perturbation. Since we have various relations between different transitions because of isospin symmetry and flavor SU(3) symmetry breaking, only two axial-vector transition form factors are independent. We present the numerical results for these form factors. The effects of the flavor SU(3) symmetry breaking turn out tiny, so we neglect them. We also compute the decay rates for several strong decays of the singly heavy baryons and compare the results with the experimental data and those from other models. While the results for the $\Sigma_c\to \Lambda_c^++\pi$ and $\Sigma_c^*\to \Lambda_c^++\pi$ decays are slightly overestimated in comparison with the corresponding experimental data, those for the $\Xi_c^*\to \Xi_c+\pi$ are in remarkable agreement with the data.