arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2403.16596nucl-thcond-mat.quant-gas
收藏

两体系统中接触有效场理论改进作用量的限制

Limits on an improved action for contact effective field theory in two-body systems

L. Contessi, M. Pavon Valderrama, U. van Kolck

AI总结:

本文研究了大散射长度两体系统中短程有效场理论(EFT)次级效应的部分重求和,通过计算两体相移和电荷形状因子发现,重求和不改变EFT展开收敛性且在最低阶有益,调节器截断并非重要因素。

摘要:

我们考虑在具有大散射长度的两体系统中,如短程有效场理论(EFT)所描述的那样,对次级效应进行可能的重求和。特别地,我们研究了部分程修正重求和的后果。对两体相移和电荷形状因子的显式计算表明,除非采取极端选择,重求和不会改变 EFT 展开的收敛性,并且在最低阶通常是有益的。我们考虑了移除调节器截断以及截断有限时的展开,发现截断对于重求和而言并非重要因素。我们的结果与其他通过有限截断或相互作用程的势诱导部分重求和的研究相联系。

英文摘要:

We consider a possible resummation of subleading effects in two-body systems with a large scattering length as described by a short-range effective field theory (EFT). In particular, we investigate the consequences of a resummation of part of the range corrections. Explicit calculations of the two-body phase shifts and charge form factor indicate that, except for extreme choices, resummations do not alter the convergence of the EFT expansion and are often beneficial at lowest orders. We have considered the expansion when the regulator cutoff is removed as well as when it is finite, and find that the cutoff is not an important factor for resummations. Our results connect with other works where the partial resummation is induced by potentials with finite cutoffs or interaction ranges.

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。

↑