The Semileptonic $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ Decays in Isgur-Wise Approach

Abstract

We consider a combination of linear confining and Hulthén potentials in the Hamiltonian and via the perturbation approach, report the corresponding Isgure-Wise function parameters. Next, we investigate the Isgur-Wise Function for $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ semileptonic decays and report the decay width, branching ratio and $|V_{cb}|$ CKM matrix element. A comparison with other models and experimental values is included.

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