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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 | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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