Potential-model calculation of an order-v^2 NRQCD matrix element

Simple item page
dc.creatorBodwin, Geoffrey T.
dc.creatorKang, Daekyoung
dc.creatorLee, Jungil
dc.date2006-03-23
dc.date2006-07-11
dc.date.accessioned2026-07-07T10:44:54Z
dc.date.available2026-07-07T10:44:54Z
dc.descriptionWe 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.
dc.description26 pages, 3 figures, Sec. IV completely re-written, published version in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0603186
dc.identifierhttp://arxiv.org/abs/hep-ph/0603186
dc.identifierPhys.Rev.D74:014014,2006
dc.identifierdoi:10.1103/PhysRevD.74.014014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182756
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePotential-model calculation of an order-v^2 NRQCD matrix element
dc.typetext

Files

Collections

arXiv