Renormalizability of leading order covariant chiral nucleon-nucleon interaction

• 作者: Chun-Xuan Wang Li-Sheng Geng Bingwei Long
• 来源期刊: 中国物理C（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: NUCLEAR PHYSICS
• 页码范围: 113-121
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/1674-1137/abe368

摘要

In this work,we study the renormalization group invariance of the recently proposed covariant power counting in the case of nucleon-nucleon scattering[Chin.Phys.C 42 (2018) 014103]at leading order.We show that unlike the Weinberg scheme,renormalizaion group invariance is satisfied in the 3Po channel.Another interesting feature is that the 1S0 and 3P1 channels are correlated.Fixing the relevant low energy constants by fitting to the 1S0 phase shifts at Tlab.=10 and 25 MeV with cutoff values Λ =400-650 MeV,one can describe the 3P1 phase shiftsrelatively well.In the limit of Λ → ∞,the 1S0 phase shifts become cutoff-independent,whereas the 3P1 phaseshifts do not.This is consistent with the Wigner bound and previous observations that the 3P1 channel is best treatedperturbatively.As for the 1P1 and 3S1-3D1 channels,renonnalization group invariance is satisfied.