Wilsonian Renormalization Group and the Lippmann-Schwinger Equation with a Multitude of Cutoff Parameters

被引：0

作者：

E.Epelbaum ^{[1
]}

J.Gegelia ^{[2
,3
]}

Ulf-G.Mei?ner ^{[4
,2
]}

机构：

[1] Institut für Theoretische Physik II,Ruhr-Universitt Bochum

[2] Institute for Advanced Simulation,Institut für Kernphysik and Jülich Center for Hadron Physics

[3] Tbilisi State University

[4] Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics,Universitt Bonn

来源：

Communications in Theoretical Physics | 2018年 / 69卷 / 03期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

nucleon-nucleon scattering; effective field theory; renormalization group;

D O I：

暂无

中图分类号：

O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

The Wilsonian renormalization group approach to the Lippmann-Schwinger equation with a multitude of cutoff parameters is introduced.A system of integro-differential equations for the cutoff-dependent potential is obtained.As an illustration,a perturbative solution of these equations with two cutoff parameters for a simple case of an S-wave low-energy potential in the form of a Taylor series in momenta is obtained.The relevance of the obtained results for the effective field theory approach to nucleon-nucleon scattering is discussed.

引用

页码：303 / 307

页数：5

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