Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-10-04
Phys.Rev.D77:094017,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
31 pages, minor corrections, version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.77.094017
We present a new computation of S-wave color-singlet nonrelativistic QCD matrix elements for the J/psi and the eta_c. We compute the matrix elements of leading order in the heavy-quark velocity v and the matrix elements of relative order v^2. Our computation is based on the electromagnetic decay rates of the J/psi and the eta_c and on a potential model that employs the Cornell potential. We include relativistic corrections to the electromagnetic decay rates, resumming a class of corrections to all orders in v, and find that they significantly increase the values of the matrix elements of leading order in v. This increase could have important implications for theoretical predictions for a number of quarkonium decay and production processes. The values that we find for the matrix elements of relative order v^2 are somewhat smaller than the values that one obtains from estimates that are based on the velocity-scaling rules of nonrelativistic QCD.
Bodwin Geoffrey T.
Chung Hee Sok
Kang Daekyoung
Lee Jungil
Yu Chaehyun
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