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25 April 2024
 
  » arxiv » 1102.2991

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Semileptonic decay of $B_c$ meson into $car c$ states in a quark model
Arpit Parmar ; Bhavin Patel ; P C Vinodkumar ;
Date 15 Feb 2011
AbstractThe exclusive semileptonic decay form factors and widths of $B_c$ meson in the $car c (eta_c,J/psi)$ states based on heavy quark effective theory are computed. The spectroscopic parameters of $B_c$ and the $car c$ states deduced using the phenomenological coulomb plus power form of the $q-ar q$ potential $(CPP_ u)$ with power index $ u$ have been employed to compute the Isgur wise function as well as the decay form factors. The universal behaviour of the Isgur-wise function at the maximum momentum transfer has been observed for different choices of $ u$ between 0.5 to 2.0. However, such an universality is not observed for the choice of $ u<0.5$. Our predictions for the branching ratio $B_c ightarroweta_cell^+ u_ell$ lie 0.50 $%$ - 0.56 $%$ while that for $B_c ightarrow J/psiell^+ u_ell$ lie 1.8 $%$ - 2.0 $%$ for the choice of the potential index in the range $0.5leq uleq2.0$.
Source arXiv, 1102.2991
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