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arXiv 2305.06313nucl-thhep-lathep-ph
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利用格点QCD两核子谱约束无π有效场论

Constraint of pionless EFT using two-nucleon spectra from lattice QCD

William Detmold, Fernando Romero-López, Phiala E. Shanahan

AI总结:

该研究利用次领头阶有限体积无π有效场论分析格点QCD两核子谱,通过微分编程优化波函数并比较GEVP谱,约束低能常数并提取相对论修正及氘核通道的s-d波混合项。

摘要:

在次领头阶(NLO)下,有限体积无π有效场论(FVEFT$_{π\! /}$)被用于分析参考文献[Amarasinghe:2021lqa]中的两核子格点QCD谱,该谱是在对应π介子质量约为800 MeV的夸克质量下获得的。具体而言,该有效理论在有限体积中构建,并通过微分编程优化变分波函数集。利用这些投影到适当有限体积对称群的波函数,从FVEFT$_{π\! /}$获得了基态和激发态的变分界。通过与格点QCD的GEVP谱比较,约束了不同的低能常数(LECs)。纳入了相对论修正,从而能够提取NLO LECs以及氘核通道中领先的$s$-$d$波混合项。

英文摘要:

Finite-volume pionless effective field theory (FVEFT$_{ π\!/ }$) at next-to-leading order (NLO) is used to analyze the two-nucleon lattice QCD spectrum of Ref.~\cite{Amarasinghe:2021lqa}, performed at quark masses corresponding to a pion mass of approximately $800 $ MeV. Specifically, the effective theory is formulated in finite volume, and variational sets of wave functions are optimized using differential programming. Using these wave functions projected to the appropriate finite-volume symmetry group, variational bounds from FVEFT$_{π\!/ }$ are obtained for the ground state, as well as excited states. By comparison with the lattice QCD GEVP spectrum, different low energy constants (LECs) are constrained. Relativistic corrections are incorporated, allowing for the extractions of NLO LECs, as well as the leading $s$-$d$-wave mixing term in the deuteron channel.

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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