论文标题
$ {\ Overline {\ rm MS}} $ $ s $ - wave quarkonium wavefunctions的renoralization
${\overline{\rm MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
论文作者
论文摘要
我们在$ \ overline {\ rm MS} $方案中，根据非依赖性有效的字段理论计算$ s $ - 波夸克波函数。我们包括电势的非扰动长距离行为的影响，而我们确定了扰动QCD中电势的短距离行为。我们在原点上获得了$ \叠加{\ rm ms} $ - 重量化的Quarkonium波函数，其具有正确的尺度依赖性，这些量度依赖性从扰动QCD中预期，因此比例依赖性在物理量中取消。基于原点上波函数的计算，我们对衰减常数和电磁衰减速率的$ s $ - 波charmonia and Bottomonia进行了独立的预测，并将它们与测量值进行比较。我们发现，当我们在计算衰减常数和衰减速率的计算中，将扰动QCD校正的不良收敛性大大改善。
We compute $S$-wave quarkonium wavefunctions at the origin in the $\overline{\rm MS}$ scheme based on nonrelativistic effective field theories. We include the effects of nonperturbative long-distance behaviors of the potentials, while we determine the short-distance behaviors of the potentials in perturbative QCD. We obtain $\overline{\rm MS}$-renormalized quarkonium wavefunctions at the origin that have the correct scale dependences that are expected from perturbative QCD, so that the scale dependences cancel in physical quantities. Based on the calculation of the wavefunctions at the origin, we make model-independent predictions of decay constants and electromagnetic decay rates of $S$-wave charmonia and bottomonia, and compare them with measurements. We find that the poor convergence of perturbative QCD corrections are substantially improved when we include corrections to the wavefunctions at the origin in the calculation of decay constants and decay rates.
