论文标题

与外场方法有有限体积相关函数的共振形式的形式。

Resonance form factors from finite-volume correlation functions with the external field method

论文作者

Lozano, Jonathan, Meißner, Ulf-G., Romero-López, Fernando, Rusetsky, Akaki, Schierholz, Gerrit

论文摘要

提出了一种在晶格上提取不稳定颗粒的形态因子的新方法。该方法基于对在这种磁场存在下使用Lüscher方法的概括在静态的,空间周期性外部场中对两粒子散射的研究。结果表明,谐振形式是通过相对于外部磁场的耦合常数在复杂平面中的共振位置的导数给出的。与标准方法不同,该提案不会遭受三角图的存在引起的问题。

A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram.

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