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We first derive a tree-level improved clover quark action on the anisotropic lattice for arbitrary quark mass by matching the Hamiltonian on the lattice and in the continuum. The heavy quark mass dependence of the improvement coefficients, i.e., the ratio of the hopping parameters \u03b6=K t /K s and the clover coefficients c s,t , is examined at the tree level, and effects of the choice of the spatial Wilson parameter r s are discussed. We then compute the charmonium spectrum in the quenched approximation employing \u03be=a s /a t =3 anisotropic lattices. Simulations are made with the standard anisotropic gauge action and the anisotropic clover quark action with r s =1 at four lattice spacings in the range a s =0.07\u20130.2\u2002fm. The clover coefficients c s,t are estimated from tree-level tadpole improvement. On the other hand, for the ratio of the hopping parameters \u03b6, we adopt both the tree-level tadpole-improved value and a non-perturbative one. The latter employs the condition that the speed of light calculated from the meson energy-momentum relation be unity. We calculate the spectrum of S and P states and their excitations using both the pole and kinetic masses. We find that the combination of the pole mass and the tadpole-improved value of \u03b6 to yield the smoothest approach to the continuum limit, which we then adopt for the continuum extrapolation of the spectrum. The results largely depend on the scale input even in the continuum limit, showing a quenching effect. When the lattice spacing is determined from the 1P\u22121S splitting, the deviation from the experimental value is estimated to be \u223c30% for the S-state hyperfine splitting and \u223c20% for the P-state fine structure. Our results are consistent with previous results at \u03be=2 obtained by Chen when the lattice spacing is determined from the Sommer scale r 0 . We also address the problem with the hyperfine splitting that different choices of the clover coefficients lead to disagreeing results in the continuum limit. 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Charmonium spectrum from quenched anisotropic lattice QCD
http://hdl.handle.net/10191/27641
1376bb45-1049-473f-b390-65b32c43b643
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-06-23 | |||||
タイトル | ||||||
タイトル | Charmonium spectrum from quenched anisotropic lattice QCD | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Charmonium spectrum from quenched anisotropic lattice QCD | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Okamoto, M.
× Okamoto, M.× Aoki, S.× Burkhalter, R.× Ejiri, S.× Fukugita, M.× Hashimoto, S.× Ishikawa, K-I× Ishizuka, N.× Iwasaki, Y.× Kanaya, K.× Kaneko, T.× Kuramashi, Y.× Lesk, V.× Nagai, K.I.× Okawa, M.× Taniguchi, Y.× Ukawa, A.× Yoshie, T.× CP-PACS, Collaboration |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We present a detailed study of the charmonium spectrum using anisotropic lattice QCD. We first derive a tree-level improved clover quark action on the anisotropic lattice for arbitrary quark mass by matching the Hamiltonian on the lattice and in the continuum. The heavy quark mass dependence of the improvement coefficients, i.e., the ratio of the hopping parameters ζ=K t /K s and the clover coefficients c s,t , is examined at the tree level, and effects of the choice of the spatial Wilson parameter r s are discussed. We then compute the charmonium spectrum in the quenched approximation employing ξ=a s /a t =3 anisotropic lattices. Simulations are made with the standard anisotropic gauge action and the anisotropic clover quark action with r s =1 at four lattice spacings in the range a s =0.07–0.2 fm. The clover coefficients c s,t are estimated from tree-level tadpole improvement. On the other hand, for the ratio of the hopping parameters ζ, we adopt both the tree-level tadpole-improved value and a non-perturbative one. The latter employs the condition that the speed of light calculated from the meson energy-momentum relation be unity. We calculate the spectrum of S and P states and their excitations using both the pole and kinetic masses. We find that the combination of the pole mass and the tadpole-improved value of ζ to yield the smoothest approach to the continuum limit, which we then adopt for the continuum extrapolation of the spectrum. The results largely depend on the scale input even in the continuum limit, showing a quenching effect. When the lattice spacing is determined from the 1P−1S splitting, the deviation from the experimental value is estimated to be ∼30% for the S-state hyperfine splitting and ∼20% for the P-state fine structure. Our results are consistent with previous results at ξ=2 obtained by Chen when the lattice spacing is determined from the Sommer scale r 0 . We also address the problem with the hyperfine splitting that different choices of the clover coefficients lead to disagreeing results in the continuum limit. Making a leading order analysis based on potential models we show that a large hyperfine splitting ∼95 MeV obtained by Klassen with a different choice of the clover coefficients is likely an overestimate. | |||||
書誌情報 |
Physical Review D en : Physical Review D 巻 65, 号 9, p. 094508, 発行日 2002-04 |
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出版者 | ||||||
出版者 | American Physical Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 15507998 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00773624 | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1103/PhysRevD.65.094508 | |||||
権利 | ||||||
権利情報 | (C) 2002 American Physical Society | |||||
著者版フラグ | ||||||
値 | publisher |