Relativistic Chiral Description of the $^1\!S_0$ Nucleon–Nucleon Scattering
Xiu-Lei Ren1,2 , Chun-Xuan Wang3 , Kai-Wen Li3,4 , Li-Sheng Geng3,5,6* , and Jie Meng1,3,4*
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China2 Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany3 School of Physics, Beihang University, Beijing 102206, China4 Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan5 Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China6 School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
Abstract ：Recently, a relativistic chiral nucleon–nucleon interaction was formulated up to leading order, which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103 ]. Nevertheless, a separable regulator function that is not manifestly covariant was used in solving the relativistic scattering equation. In the present work, we first explore a covariant and separable form factor to regularize the kernel potential and then apply it to study the simplest but most challenging $^1\!S_0$ channel which features several low-energy scales. In addition to being self-consistent, we show that the resulting relativistic potential can describe quite well the unique features of the $^1\!S_0$ channel at leading order, in particular the pole position of the virtual bound state and the zero amplitude at the scattering momentum $\sim $340 MeV, indicating that the relativistic formulation may be more natural from the viewpoint of effective field theories.
收稿日期: 2021-02-09
出版日期: 2021-05-25
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2021, Vol. 38 
