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arXiv 2406.12980nucl-th
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含显式Δ激发的宇称与时间反演破缺核力

Parity and time-reversal violating nuclear forces with explicit $Δ$-excitations

Lukas Gandor, Hermann Krebs, Evgeny Epelbaum

AI总结:

本研究在手征有效场论框架下引入显式Δ共振自由度,用于宇称与时间反演破缺核相互作用研究,可重求和相关两π交换势贡献且无额外未知参数,并给出对应表达式、对比了展开收敛性。

摘要:

我们强调在手征有效场论(EFT)应用于宇称破缺与时间反演破缺(PVTV)核相互作用时,将delta共振视为显式自由度的实用性。与无delta框架相比,显式引入delta同量异位素可对PVTV两π交换两核子与三核子势的特定类型贡献进行重求和,且在EFT展开的次次领头阶内不会引入任何未知参数。我们给出了动量空间与坐标空间中delta贡献的对应表达式,并对比了两种表述下EFT展开的收敛性。

英文摘要:

We emphasize the usefulness of treating delta resonances as explicit degrees of freedom in applications of chiral effective field theory (EFT) to parity-violating and time-reversal-violating (PVTV) nuclear interactions. Compared with the delta-less framework, the explicit inclusion of the delta isobar allows one to resum certain types of contributions to the PVTV two-pion exchange two- and three-nucleon potentials without at the same time introducing any unknown parameters up to next-to-next-to-leading order in the EFT expansion. We provide the corresponding expressions for the delta contributions in momentum and coordinate spaces and compare the convergence of the EFT expansion in both formulations.

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