Spectroscopy and decay properties of $\Sigma_{b}, \Lambda_{b}$ baryons in quark-diquark model

TL;DR

This paper models the properties of $$ baryons using a quark-diquark approach with a specific potential, predicting decay widths and magnetic moments that align with experimental and QCD sum rule data.

Contribution

It introduces a detailed quark-diquark model with a specific potential to study $$ baryons, providing predictions consistent with experimental and theoretical results.

Findings

Predicted mass splittings match experimental data.

Calculated decay widths agree with experimental and QCD sum rule results.

Established correlations between model parameters and observed properties.

Abstract

Properties of single beauty baryons ($\Sigma_{b},\Lambda_{b}$) are studied based on the quark-diquark structure. The confinement potential is assumed as two body colour coulomb plus power potential with exponent $\nu$. We find a strong correlation between the choice of the heavy quark mass parameter ($m_{b}$), strong coupling constant ($\alpha_{s}$) and the potential exponent ($\nu$) for getting the experimental mass spilt of $m_{\Sigma^{*}_{b}}- m_{\Sigma_{b}}=21.2\pm2.0 $ MeV. The resultant spectroscopic parameters are used for computing magnetic moments, the electromagnetic radiative decay, strong hadronic decay and semileptonic decay widths of $\Sigma_{b}, \Lambda_{b}$ systems. Our predictions on the radiative decay width correspond to $\Sigma^{*0}_{b}\rightarrow\Lambda_{b}\gamma$ are in agreement with the QCD sum rule prediction. The present results on the semileptonic decay widths of $\Lambda_{b}\rightarrow \Lambda_{c}l\nu_{l}$ (2.50-4.73) $ *10^{10} s^{-1}$ are in agreement with the experimental value of $3.59^{+1.234}_{-0.936} *10^{10} s^{-1}$ reported by (PDG 2010).