Relativistic Chiral Description of the ¹S₀ Nucleon–Nucleon Scattering

【摘要】 Recently, a relativistic chiral nucleon–nucleon interaction was formulated up to leading order, which provides a good description of the phase shifts of J≤ 1 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 ¹S₀ channel which features several lowenergy scales. In addition to being self-consistent, we show that the resulting relativistic potential can describe quite well the unique features of the ¹S₀ channel at leading order, in particular the pole position of the virtual bound state and the zero amplitude at the scattering momentum ～340 MeV, indicating that the relativistic formulation may be more natural from the viewpoint of effective field theories.更多还原

【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≤ 1 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 ¹S₀ channel which features several lowenergy scales. In addition to being self-consistent, we show that the resulting relativistic potential can describe quite well the unique features of the ¹S₀ channel at leading order, in particular the pole position of the virtual bound state and the zero amplitude at the scattering momentum ～340 MeV, indicating that the relativistic formulation may be more natural from the viewpoint of effective field theories.更多还原