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

作　　者：E.Epelbaum J.Gegelia Ulf-G.Meiβner 

机构地区：[1]Institut fur Theoretische Physik II, Ruhr-Universitat Bochum, D-44780 Bochum, Germany [2]Institute for Advanced Simulation, Institut fur Kernphysik and Julich Center for Hadron Physics, Forschungszentrum Jiilich, D-52425 Julich, Germany [3]Tbilisi State University, 0186 Tbilisi, Georgia [4]Helmholtz Institut fur Strahlen und Kernphysik and Bethe Center for Theoretical Physics, Universitat Bonn, D-53115 Bonn, Germany

出　　处：《Communications in Theoretical Physics》2018年第3期303-307,共5页理论物理通讯（英文版）

基　　金：Supported in part by BMBF under Grant No.05P2015–NUSTAR R&D);DFG and NSFC through Funds Provided to the SinoGerman CRC 110 “Symmetries and the Emergence of Structure in QCD”;National Natural Science Foundation of China under Grant No.11621131001,DFG Grant No.TRR110;the Georgian Shota Rustaveli National Science Foundation(grant FR/417/6-100/14);the CAS President’s International Fellowship Initiative(PIFI)under Grant No.2017VMA0025

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.

关 键 词：nucleon-nucleon scattering effective field theory renormalization group 

分 类 号：O571[理学—粒子物理与原子核物理]