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.

any comment is welcome

References in corpus (5)

• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions
• Weak decays of $B_s$ mesons to $D_s$ mesons in the relativistic quark model
• Exclusive $B_s$ decays to the charmed mesons $D_s^{+}(1968,2317)$ in the standard model
• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons