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arXiv 2102.04329nucl-thhep-lathep-ph
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有限体积无π有效场论中的少核子矩阵元

Few-nucleon matrix elements in pionless effective field theory in a finite volume

W. Detmold, P. E. Shanahan

发表信息：
Phys. Rev. D 103, 074503 (2021)
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摘要：

本文研究了有限体积中的无介子有效场论（FVEFT $_{π\!/}$）作为分析格点量子色动力学（LQCD）中计算的多核子谱和矩阵元的框架。通过结合FVEFT $_{π\!/}$与随机变分方法，原子序数为$A\in\{2,3\}$的原子核的光谱与现有的有限体积LQCD计算相匹配，在比物理夸克质量对应的π质量$m_π=806$ MeV，从而使无限体积的结合能被确定使用无限体积变分计算。基于这种方法构造的变分波函数，在FVEFT $_{π\!/}$中计算各种局域算子的有限体积矩阵元，并与同一体积中相应QCD算子的LQCD计算相匹配，从而确定相关的单体和两体EFT反项，并使LQCD矩阵元外推到无限体积。作为例子，标量，张量和轴向矩阵元素被认为是，以及磁矩和等矢量纵向动量分数。

英文摘要：

Pionless effective field theory in a finite volume (FVEFT$_{π\!/}$) is investigated as a framework for the analysis of multi-nucleon spectra and matrix elements calculated in lattice QCD (LQCD). By combining FVEFT$_{π\!/}$ with the stochastic variational method, the spectra of nuclei with atomic number $A\in\{2,3\}$ are matched to existing finite-volume LQCD calculations at heavier-than-physical quark masses corresponding to a pion mass $m_π=806$ MeV, thereby enabling infinite-volume binding energies to be determined using infinite-volume variational calculations. Based on the variational wavefunctions that are constructed in this approach, the finite-volume matrix elements of various local operators are computed in FVEFT$_{π\!/}$ and matched to LQCD calculations of the corresponding QCD operators in the same volume, thereby determining the relevant one and two-body EFT counterterms and enabling an extrapolation of the LQCD matrix elements to infinite volume. As examples, the scalar, tensor, and axial matrix elements are considered, as well as the magnetic moments and the isovector longitudinal momentum fraction.

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