| NUCLEAR PHYSICS |
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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* |
1State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
2Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
3School of Physics, Beihang University, Beijing 102206, China
4Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
5Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China
6School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
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| Cite this article: |
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Xiu-Lei Ren, Chun-Xuan Wang, Kai-Wen Li et al 2021 Chin. Phys. Lett. 38 062101 |
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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.
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Received: 09 February 2021
Published: 25 May 2021
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| Fund: Supported by the China Scholarship Council, the National Natural Science Foundation of China (Grant Nos. 11375024, 11522539, 11735003, 11335002, and 11775099), NSFC and DFG through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (NSFC Grant No. 11621131001, DFG Grant No. TRR110), the China Postdoctoral Science Foundation (Grant Nos. 2016M600845 and 2017T100008), the Major State 973 Program of China (Grant No. 2013CB834400), and the Fundamental Research Funds for the Central Universities. |
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