The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach

Details The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach

2007-05-10

arxiv.org/abs/0705.1379v1

Phys.Lett.B654:97-103,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 2 figures, accepted for publication in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.05.007

In the previous paper, based on the $SU(2)_{f}\times SU(2)_{s}$ heavy quark symmetries of the QCD Lagrangian in the heavy quark limit, the Bethe-Salpeter equation for the heavy baryon $\Lambda_b$ was established with the picture that $\Lambda_b$ is composed of a heavy quark and a scalar light diquark. In the present work, we apply this model to calculate $\mu_\pi^2$ for $\Lambda_b$, the average kinetic energy of the heavy quark inside $\Lambda_{b}$. This quantity is particularly interesting since it can be measured in experiments and since it contributes to the inclusive semileptonic decays of $\Lambda_b$ when contributions from higher order terms in $1/M_b$ expansions are taken into account and consequently influences the determination of the Cabibbo-Kobayashi-Maskawa matrix elements $V_{ub}$ and $V_{cb}$. We find that $\mu_\pi^2$ for $\Lambda_b$ is $0.25GeV^2$ $\sim$ $0.95GeV^2$, 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 $\mu_\pi^2$ for $\Lambda_b$ which is derived from the experimental value of $\mu_\pi^2$ for the $B$ meson with the aid of the heavy quark effective theory.

Affiliated with

Also associated with

No associations

Rating

The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Average Kinetic Energy of the Heavy Quark in $Λ_b$ in the Bethe-Salpeter Equation Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-600251