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Pions and Contacts at N4LO: Some details on the chiral nuclear force
Annals of Physics ( IF 3 ) Pub Date : 2021-01-04 , DOI: 10.1016/j.aop.2020.168383
E.F. Batista , S. Szpigel , V.S. Timóteo

In this work we have performed a detailed study of chiral nuclear forces at N4LO approximation applied to selected channels of the neutron–proton (np) scattering. The idea is to analyse the different contributions to the nucleon–nucleon (NN) potential by separating the part coming from the exchange of pions and the one coming from the contact interactions. We consider two state-of-the-art chiral interactions at N4LO which are constructed using different regularization procedures: the non-local Idaho–Salamanca force and the semi-local interaction from the Bochum group. In order to compare the two types of regularization we consider both interactions with a 500 MeV cutoff and to analyse the cutoff dependence we select the Bochum potential with three different cutoff values: 500, 450 and 400 MeV. Our results show that the balance between pion exchanges and contact interactions depends strongly on the regularization procedure. The non-local angle-independent regularization of both components of the interaction implemented in the Idaho–Salamanca potential makes the contact terms to be present at large distances while the local regularization of the pion exchanges in the Bochum potential restricts the contact interactions to small distances. Also, the value of the cutoff affects the strength of the potential but the interplay between pion exchanges and contact terms remains qualitatively the same.



中文翻译:

N4LO上的介子和接触:手性核力的一些细节

在这项工作中,我们已经对N4LO近似的手性核力进行了详细研究,并将其应用于中子-质子的选定通道(ñp)散射。这个想法是分析对核子-核子(ññ),将来自交换小子的部分和来自接触相互作用的部分分开。我们考虑使用不同的正则化程序构造的两个最先进的N4LO手性相互作用:非局部爱达荷-萨拉曼卡力和波鸿小组的半局部相互作用。为了比较两种类型的正则化,我们考虑了500 MeV截止的两种相互作用,并且为了分析截止依赖性,我们选择具有三个不同截止值的Bochum势:500、450和400 MeV。我们的结果表明,介子交换和接触相互作用之间的平衡在很大程度上取决于正则化过程。在爱达荷-萨拉曼卡电势中实现的相互作用的两个分量的非局部角度无关的正则化使得接触项出现在较远的距离,而波鸿电位中的离子交换的局部正则化将接触相互作用限制在小距离。同样,截止值会影响电位的强度,但介子交换和接触项之间的相互作用在质上保持不变。

更新日期:2021-01-04
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