The rank-one separable interaction kernel for nucleon with scalar propagators

TL;DR

This paper develops a covariant rank-one separable interaction kernel for nucleon-nucleon scattering with scalar propagators, linking kernel parameters to observable scattering data and bound states.

Contribution

It introduces a covariant rank-one separable kernel for nucleon interactions with explicit parameter connections to experimental observables.

Findings

Kernel parameters linked to low-energy scattering data

Constructed kernels for specific partial-wave channels

Parameters reproduce deuteron binding energy

Abstract

In the paper the covariant kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe-Salpeter equation for the T matrix is considered in the rank- one separable kernel. The parameters of the kernel for the specific partial-wave channels explicitly connect with the observables { low energy scattering parameters and phase shifts, deuteron binding energy. Covariant separable kernels forthe partial-wave channels with total angular momentum J = 0 (1S0, 3P0) and J = 1 (3S1 -3D1, 1P1, 3P1) are constructed.