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arXiv 2304.03313hep-lat
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在格点QCD中使用周期边界条件下的distillation研究物理π介子质量下的同位旋0和2两π介子散射

Isospin 0 and 2 two-pion scattering at physical pion mass using distillation with periodic boundary conditions in lattice QCD

Mattia Bruno, Daniel Hoying, Taku Izubuchi, Christoph Lehner, Aaron S. Meyer, Masaaki Tomii

AI总结:

本文利用distillation技术构建多粒子插值算符,在物理质量下计算了同位旋0和2两π介子散射相移与长度,减除真空和热污染后,最精细系综结果与唯象学在统计误差内一致。

摘要:

Lattice QCD中的两π介子通道长期以来一直是研究有限体积QCD中多粒子散射的主要试验场。随着distillation等先进技术的发展,现在可以仔细研究两π介子散射,以约束相关的低能常数。在这项工作中,我们构建了具有多粒子插值算符的关联函数,以计算在物理质量下的海夸克和价夸克下同位旋0和2通道的π介子散射相移和散射长度。通过专门的计算明确量化了来自真空和热贡献的污染,并将减去这些干扰项后获得的结果与传统的关联子时间序列减除方法进行了比较。我们使用了两个具有不同格点作用的物理点系综,我们最精细的系综给出的散射长度和相移结果在报告的统计不确定度内与唯象学一致。

英文摘要:

The two pion channel in Lattice QCD has long been a primary testing ground for studying multiparticle scattering in finite volume QCD. With the development of sophisticated techniques such as distillation, it is possible to carefully study two-pion scattering in order to constrain associated low-energy constants. In this work, correlation functions with multiparticle interpolating operators are constructed to compute pion scattering phase shifts and scattering lengths in the isospin 0 and 2 channels with both sea and valence quarks at physical mass. Contamination from vacuum and thermal contributions are explicitly quantified with dedicated calculations and the results obtained after subtracting these nuisance terms are compared with the traditional correlator time series subtraction method. Two physical point ensembles with different lattice actions are used, and our finest ensemble gives results for scattering lengths and phase shifts consistent with phenomenology to within the reported statistical uncertainty.

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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