Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-11-25
Phys.Rev. D55 (1997) 6844-6851
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages, REVTEX v3.1, 5 postscript figures included
Scientific paper
10.1103/PhysRevD.55.6844
Numerical simulations of the quarkonium spin splittings are done in the framework of lattice nonrelativistic quantum chromodynamics (NRQCD). At leading order in the velocity expansion the spin splittings are of $O(M_Q v^4)$, where $M_Q$ is the renormalized quark mass and $v^2$ is the mean squared quark velocity. A systematic analysis is done of all next-to-leading order corrections. This includes the addition of $O(M_Q v^6)$ relativistic interactions, and the removal of $O(a^2 M_Q v^4)$ discretization errors in the leading-order interactions. Simulations are done for both S- and P-wave mesons, with a variety of heavy quark actions and over a wide range of lattice spacings. Two prescriptions for the tadpole improvement of the action are also studied in detail: one using the measured value of the average plaquette, the other using the mean link measured in Landau gauge. Next-to-leading order interactions result in a very large reduction in the charmonium splittings, down by about 60% from their values at leading order. There are further indications that the velocity expansion may be poorly convergent for charmonium. Prelimary results show a small correction to the hyperfine splitting in the Upsilon system.
No associations
LandOfFree
Quarkonium spin structure in lattice NRQCD 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 Quarkonium spin structure in lattice NRQCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quarkonium spin structure in lattice NRQCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-444618