Semileptonic Transition of $\Lambda_{b}$ Baryon

TL;DR

This paper investigates the semileptonic decay of the Lambda_b baryon using a hypercentral quark model, calculating decay rates and branching ratios that align with experimental data.

Contribution

It introduces a variational approach to solve the hyperradial Schrödinger equation for heavy baryons and computes the Isgur-Wise function for decay analysis.

Findings

Decay rate and branching ratio are consistent with experimental data.

Wavefunctions and masses of heavy baryons are obtained using the hypercentral model.

The Isgur-Wise function is successfully determined for the decay process.

Abstract

The semileptonic transition of $\Lambda_b$ baryon is studied using the Hypercentral constituent quark model. The six-dimensional hyperradial $Schr\ddot{o}dinger$ equation is solved in the variational approach to get masses and wavefunctions of heavy baryons. The matrix elements of weak decay are written in terms of the overlap integrals of the baryon wave function. The Isgur-Wise function is determined to calculate exclusive semileptonic decay $\Lambda_b$ $\rightarrow$ $\Lambda_c$ $\ell$ $\bar{\nu}$. The calculated decay rate and the branching ratio of $\Lambda_b$ baryon are consistent with other theoretical predictions and with the available experimental observations.