The Hyperfine splitting in charmonium: Lattice computations using the Wilson and Clover fermion actions

, using the same set of 18 gluon configurations for both fermion actions. We find that the splitting is 1.83\err{13}{15} times larger with the clover action than with the Wilson action, demonstrating the sensitivity of the spin-splitting to the magnetic moment term which is present in the clover action. However, even with the clover action the result is less than half of the physical mass-splitting. We also compute the decay constants

f_{\eta_c}

and

f~{-1}_{J/\psi}

, both of which are considerably larger when computed using the clover action than with the Wilson action. For example for the ratio

f~{-1}_{J/\psi}/f~{-1}_{\rho}

we find 0.32\err{1}{2} with the Wilson action and

0.48\pm 3

with the clover action (the physical value is 0.44(2)).

charmonium
hyperfine structure
fermion: lattice field theory
lattice field theory: action
approximation: quenching
quarkonium: decay constant
decay constant: quarkonium
gauge field theory: SU(3)
numerical calculations: Monte Carlo
mass difference: (J/psi(3100) eta/c(2980))

References(7)

Figures(0)

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