1/m_Q Corrections to the Bethe-Salpeter Equation for Λ_{Q} in the Diquark Picture

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Latex, 24 pages, two figures

Scientific paper

10.1103/PhysRevD.61.116015

Corrections of order 1/m_Q (Q=b or c) to the Bethe-Salpeter (B-S) equation for \Lambda_Q are analyzed on the assumption that the heavy baryon \Lambda_Q is composed of a heavy quark and a scalar, light diquark. It is found that in addition to the one B-S scalar function in the limit m_Q -> \infty, two more scalar functions are needed at the order 1/m_Q. These can be related to the B-S scalar function in the leading order. The six form factors for the weak transition \Lambda_b -> \Lambda_c are expressed in terms of these wave functions and the results are consistent with heavy quark effective theory to order 1/m_Q. Assuming the kernel for the B-S equation in the limit m_Q -> \infty to consist of a scalar confinement term and a one-gluon-exchange term we obtain numerical solutions for the B-S wave functions, and hence for the $\Lambda_b \to \Lambda_c$ form factors to order 1/m_Q. Predictions are given for the differential and total decay widths for \Lambda_b -> \Lambda_c l \bar{\nu}, and also for the nonleptonic decay widths for \Lambda_b -> \Lambda_c plus a pseudoscalar or vector meson, with QCD corrections being also included.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

1/m_Q Corrections to the Bethe-Salpeter Equation for Λ_{Q} in the Diquark Picture 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 1/m_Q Corrections to the Bethe-Salpeter Equation for Λ_{Q} in the Diquark Picture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 1/m_Q Corrections to the Bethe-Salpeter Equation for Λ_{Q} in the Diquark Picture will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-295417

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.