Isgur-Wise Function for $Λ_b \to Λ_c$ in B-S Approach

Details Isgur-Wise Function for $Λ_b \to Λ_c$ in B-S Approach Isgur-Wise Function for $Λ_b \to Λ_c$ in B-S Approach

1997-06-17

arxiv.org/abs/hep-ph/9706394v1

Phys.Rev. D54 (1996) 4629-4634

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevD.54.4629

In the heavy quark limit, the heavy baryon $\Lambda_Q$ (Q=b or c) can be regarded as composed of a heavy quark and a scalar light diquark which has good spin and flavor quantum numbers. Based on this picture we establish the Bethe-Salpeter (B-S) equation for $\Lambda_Q$ in the leading order of $1/m_Q$ expansion. With the kernel containing both the scalar confinement and one-gluon-exchange terms we solve the B-S equation numerically. The Isgur-Wise function for $\Lambda_b \to \Lambda_c$ is obtained numerically from our model. Comparison with other model calculations are also presented. It seems that the Isgur-Wise function for $\Lambda_b \to \Lambda_c$ drops faster than that for $B \to D$. The differential and total decay widths for $\Lambda_b \to \Lambda_c l \bar{\nu}$ are given in the limit $m_{b,c}\to \infty$.

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