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arXiv 0912.5017hep-ph
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从色散求和规则中提取基态衰变常数:QCD vs势模型

Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models

Wolfgang Lucha, Dmitri Melikhov, Silvano Simula

摘要:

我们比较了从QCD和势模型中的两点相关器中提取基态衰变常数,并表明在提取过程的每一步获得的结果遵循非常相似的模式。我们证明,允许一个Borel参数相关的有效连续阈值产生两个重要的改进相比,采用Borel参数无关的量:(i)它大大减少了(非物理)的依赖性提取的束缚态质量和衰减常数的Borel参数。(ii)在一个潜在的模型,其中的衰减常数的实际值是已知的薛定谔方程,一个Borel参数依赖的阈值导致的提取过程的准确性的提高。我们的研究结果表明,在QCD中,Borel参数依赖的阈值导致一个更可靠和准确的确定的束缚态特性的求和规则的方法。

英文摘要:

We compare the extraction of the ground-state decay constant from the two-point correlator in QCD and in potential models and show that the results obtained at each step of the extraction procedure follow a very similar pattern. We prove that allowing for a Borel-parameter-dependent effective continuum threshold yields two essential improvements compared to employing a Borel-parameter-independent quantity: (i) It reduces considerably the (unphysical) dependence of the extracted bound-state mass and the decay constant on the Borel parameter. (ii) In a potential model, where the actual value of the decay constant is known from the Schroedinger equation, a Borel-parameter-dependent threshold leads to an improvement of the accuracy of the extraction procedure. Our findings suggest that in QCD a Borel-parameter dependent threshold leads to a more reliable and accurate determination of bound-state characteristics by the method of sum rules.

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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