Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-03-23
Phys.Rev.D74:014014,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, 3 figures, Sec. IV completely re-written, published version in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.74.014014
We present two methods for computing dimensionally-regulated NRQCD heavy-quarkonium matrix elements that are related to the second derivative of the heavy-quarkonium wave function at the origin. The first method makes use of a hard-cutoff regulator as an intermediate step and requires knowledge only of the heavy-quarkonium wave function. It involves a significant cancellation that is an obstacle to achieving high numerical accuracy. The second method is more direct and yields a result that is identical to the Gremm-Kapustin relation, but it is limited to use in potential models. It can be generalized to the computation of matrix elements of higher order in the heavy-quark velocity and can be used to resum the contributions to decay and production rates that are associated with those matrix elements. We apply these methods to the Cornell potential model and compute a matrix element for the J/psi state that appears in the leading relativistic correction to the production and decay of that state through the color-singlet quark-antiquark channel.
Bodwin Geoffrey T.
Kang Daekyoung
Lee Jungil
No associations
LandOfFree
Potential-model calculation of an order-v^2 NRQCD matrix element 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 Potential-model calculation of an order-v^2 NRQCD matrix element, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Potential-model calculation of an order-v^2 NRQCD matrix element will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-305762