Masses and decay constants of the heavy tensor mesons with QCD sum rules

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作者
Zhi-Gang Wang
Zun-Yan Di
机构
[1] North China Electric Power University,Department of Physics
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关键词
Heavy Quark; Decay Constant; Feynman Diagram; Operator Product Expansion; Gluon Condensate;
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摘要
In this article, we calculate the contributions of the vacuum condensates up to dimension-6 in the operator product expansion and study the masses and decay constants of the heavy tensor mesons \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ D_{2}^{*}(2460)$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ D_{s2}^{*}(2573)$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ B_{2}^{*}(5747)$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ B_{s2}^{*}(5840)$\end{document} using the QCD sum rules. The predicted masses are in excellent agreement with the experimental data, while the ratios of the decay constants \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \frac{f_{D_{s2}^{*}}}{f_{D_{2}^{*}}} \approx \frac{f_{B_{s2}^{*}}}{f_{B_{2}^{*}}} \approx\frac{f_{D_{s}}}{f_{D}} \mid_{\exp}$\end{document}, where the exp denotes the experimental value.
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