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arXiv 0906.4412hep-ph
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p波重夸克偶素态的首扭光锥分布振幅

Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states

Chien-Wen Hwang

摘要:

本文研究了p波重夸克偶素态的光锥分布振幅。在光阵面框架内,主导扭转光锥分布振幅及其相关衰减常数具有一些简单的关系。当非相对论极限和波函数为相对动量的函数时,这些关系可以进一步简化|\vec κ|都被考虑在内。此外,当考虑高斯型波函数时,LCDAs方程中的κ_ \perp积分和矩方程中的κ_ \perp积分可以解析地完成。在确定了波函数中的参数后,绘制并计算了粲鎓和底鎓态的LCDAs曲线和相应的衰变常数。估计了LCDA的前三阶矩,并与其它理论方法的结果一致。

英文摘要:

In this paper, a study of light-cone distribution amplitudes for p-wave heavy quarkonium states are presented. Within the light-front framework, the leading twist light-cone distribution amplitudes, and their relevant decay constants, have some simple relations. These relations can be further simplified when the non-relativistic limit and the wave function as a function of relative momentum |\vecκ| are taken into consideration. In addition, the κ_\perp integrations in the equations of LCDAs and ξ-moments can be completed analytically when the Gaussian-type wave function is considered. After fixing the parameters that appear in the wave function, the curves and the corresponding decay constants of the LCDAs are plotted and calculated for the charmonium and bottomonium states. The first three ξ-moments of the LCDAs are estimated and are consistent with those of other theoretical approaches.

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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