Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-07-03
JHEP 0308 (2003) 022
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 7 figures
Scientific paper
10.1088/1126-6708/2003/08/022
We study charmonium using the standard relativistic formalism in the quenched approximation, on a set of lattices with isotropic lattice spacings ranging from 0.1 to 0.04 fm. We concentrate on the calculation of the hyperfine splitting between eta_c and J/psi, aiming for a controlled continuum extrapolation of this quantity. The splitting extracted from the non-perturbatively improved clover Dirac operator shows very little dependence on the lattice spacing for $a \leq 0.1$ fm. The dependence is much stronger for Wilson and tree-level improved clover operators, but they still yield consistent extrapolations if sufficiently fine lattices, $a \leq 0.07$ fm ($a M(\eta_c) \leq 1$), are used. Our result for the hyperfine splitting is 77(2)(6) MeV (where Sommer's parameter, r_0, is used to fix the scale). This value remains about 30% below experiment. Dynamical fermions and OZI-forbidden diagrams both contribute to the remainder. Results for the eta_c and J/psi wave functions are also presented.
Choe Seungho
Forcrand Ph de
Liu Ya-Ying
Nakamura Akihiro
Perez Margarita Garcia
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