Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8196605 | Physics Letters B | 2007 | 7 Pages |
Abstract
In the previous paper, based on the SU(2)fÃSU(2)s heavy quark symmetries of the QCD Lagrangian in the heavy quark limit, the Bethe-Salpeter equation for the heavy baryon Îb was established with the picture that Îb is composed of a heavy quark and a scalar light diquark. In the present work, we apply this model to calculate μÏ2 for Îb, the average kinetic energy of the heavy quark inside Îb. This quantity is particularly interesting since it can be measured in experiments and since it contributes to the inclusive semileptonic decays of Îb when contributions from higher order terms in 1/Mb expansions are taken into account and consequently influences the determination of the Cabibbo-Kobayashi-Maskawa matrix elements Vub and Vcb. We find that μÏ2 for Îb is 0.25GeV2â¼0.95GeV2, depending on the parameters in the model including the light diquark mass and the interaction strength between the heavy quark and the light diquark in the kernel of the BS equation. We also find that this result is consistent with the value of μÏ2 for Îb which is derived from the experimental value of μÏ2 for the B meson with the aid of the heavy quark effective theory.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
X.-H. Guo, H.-K. Wu,