Semileptonic Transition of $\Lambda_{b}$ Baryon

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.