Isgur-Wise function for Lb ̃Lc in the BS approach
نویسندگان
چکیده
In the heavy quark limit, the heavy baryon LQ (Q5b 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 ~BS! equation for LQ in the leading order of 1/mQ expansion. With the kernel containing both the scalar confinement and one-gluon-exchange terms we solve the BS equation numerically. The IsgurWise function for Lb→Lc is obtained numerically from our model. A comparison with other model calculations is also presented. It seems that the Isgur-Wise function for Lb→Lc drops faster than that for B→D . The differential and total decay widths for Lb→Lcl n̄ are given in the limit mb ,c→` . @S0556-2821~96!00219-6#
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