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arXiv 1003.0972hep-phnucl-th
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s波重介子衰变常数和光锥分布振幅的分析

Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson

Chien-Wen Hwang

摘要:

本文在一般和重夸克框架下研究了$s$波重介子的光锥分布振幅。在光阵面方法中,主导扭转光锥分布振幅$ϕ_M(u)$与重赝标介子和矢量介子的相关衰变常数$f_M$具有简单的关系。当考虑到重夸克极限时,这些关系可以进一步简化。在固定高斯和幂律波函数中出现的参数后,计算了相应的衰减常数,并与其他理论方法进行了比较。绘制并估计了$ϕ_M(u)$的曲线和前六个$ξ$矩。结果表明:尽管不同介子的衰变常数几乎相等,但它们的LCDA曲线可能有很大的差异,反之亦然。此外,在重夸克极限下,我们还比较了主导扭转LCDAs($Φ_{Qq}(ω)$和$Φ_{Qq}(ω)$)与其它理论组提出的$B$ -介子LCDAs($ψ_+(ω)$).

英文摘要:

In this paper, a study of light-cone distribution amplitudes (LCDAs) for $s$-wave heavy meson are presented in both general and heavy quark frameworks. Within the light-front approach, the leading twist light-cone distribution amplitudes, $ϕ_M(u)$, and their relevant decay constants of heavy pseudoscalar and vector mesons, $f_M$, have simple relations. These relations can be further simplified when the heavy quark limit is taken into consideration. After fixing the parameters that appear in both Gaussian and power-law wave functions, the corresponding decay constants are calculated and compared with those of other theoretical approaches. The curves and the first six $ξ$-moments of $ϕ_M(u)$ are plotted and estimated. A conclusion is drawn from these results: Even though the values of the decay constants of the distinct mesons are almost equal, the curves of their LCDAs may have quite large differences, and vice versa. Additionally, in the heavy quark limit, the leading twist LCDAs, $Φ_{Qq}(ω)$ and $Φ_{Qq}(ω)$, are compared with the $B$-meson LCDAs, $ψ_+(ω)$, suggested by the other theoretical groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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