Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-11-28
JHEP 0702:019,2007
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 16 figures. A reference and a comment added, a major modification in appendix, several minor changes in the abstract
Scientific paper
10.1088/1126-6708/2007/02/019
We perform a numerical test of a relativistic heavy quark(RHQ) action, recently proposed by Tsukuba group, in quenched lattice QCD at $a\simeq 0.1$ fm. With the use of the improvement parameters previously determined at one-loop level for the RHQ action, we investigate a restoration of rotational symmetry for heavy-heavy and heavy-light meson systems around the charm quark mass. We focused on two quantities, the meson dispersion relation and the pseudo-scalar meson decay constants. It is shown that the RHQ action significantly reduces the discretization errors due to the charm quark mass. We also calculate the S-state hyperfine splittings for the charmonium and charmed-strange mesons and the $D_s$ meson decay constant. The remaining discretization errors in the physical quantities are discussed.
Aoki Sadao
Fukugita Masaaka
Iwasaki Yoshihito
Kanaya Kazuyuki
Kayaba Yasuhisa
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