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arXiv · hep-lat/0307004

Quenched charmonium spectrum

S. Choe·Ph. de Forcrand·M. Garcia Perez·Y. Liu·A. Nakamura·I. -O. Stematescu·T. Takaishi·T. Umeda
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Abstract

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 ($a M(η_c) \leq 1$), 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.

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S. Choe, Ph. de Forcrand, M. Garcia Perez, Y. Liu, A. Nakamura, I. -O. Stematescu, T. Takaishi, T. Umeda. 2003-07-03. Quenched charmonium spectrum. https://doi.org/10.1088/1126-6708%2F2003%2F08%2F022

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