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arXiv · 1712.10083

Relativistic chiral description of the $^1S_0$ nucleon-nucleon scattering

Xiu-Lei Ren·Chun-Xuan Wang·Kai-Wen Li·Li-Sheng Geng·Jie Meng
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Abstract

Recently, a relativistic chiral nucleon-nucleon interaction is 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 manifestily covariant was used in solving the relativistic scattering equation. In the present work, we first propose a covariant and separable form factor to regularize the kernel potential and then apply it to study the simplest but most challenging $^1S_0$ 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 $^1S_0$ 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 might be more natural from the point of view of effective field theories.

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Xiu-Lei Ren, Chun-Xuan Wang, Kai-Wen Li, Li-Sheng Geng, Jie Meng. 2017-12-29. Relativistic chiral description of the $^1S_0$ nucleon-nucleon scattering. https://doi.org/10.1088/0256-307x%2F38%2F6%2F062101

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