On the contribution of the P and D partial-wave states to the binding energy of the triton in the Bethe-Salpeter-Faddeev approach

TL;DR

This paper investigates how nonzero orbital angular momentum states of nucleon pairs affect the triton's binding energy using a relativistic Bethe-Salpeter-Faddeev approach with separable kernels.

Contribution

It introduces a relativistic three-nucleon calculation including P and D partial-wave states, providing new insights into their contributions to the triton binding energy.

Findings

P and D states contribute significantly to the binding energy.

Relativistic effects are incorporated via the Bethe-Salpeter formalism.

The approach yields the triton binding energy and three-nucleon amplitudes.

Abstract

The influence of the partial-wave states with nonzero orbital moment of the nucleon pair on the binding energy of the triton in the relativistic case is considered. The relativistic generalization of the Faddeev equation in the Bethe-Salpeter formalism is applied. Two-nucleon t matrix is obtained from the Bethe-Salpeter equation with separable kernel of nucleon-nucleon interaction of the rank one. The kernel form factors are the relativistic type of the Yamaguchi functions. The following two-nucleon partial-wave states are considered: $^1S_0$, $^3S_1$, $^3D_1$, $^3P_0$, $^1P_1$, $^3P_1$. The system of the integral equations are solved by using the iteration method. The binding energy of the triton and three-nucleon amplitudes are found. The contribution of the P and D states to the binding energy of triton is given.