Scalar-Scalar Ladder Model in the Unequal-Mass Case. III - Numerical Studies of the P-Wave Case -

TL;DR

This paper numerically investigates the eigenvalue problem for p-wave bound states of unequal-mass scalar particles using the Bethe-Salpeter ladder model, revealing complex eigenvalues and analyzing bound state amplitudes.

Contribution

It extends previous s-wave studies to p-wave cases, providing numerical analysis of eigenvalues and amplitudes for unequal-mass scalar particles.

Findings

Eigenvalues become complex for certain mass configurations

Bethe-Salpeter amplitudes of low-lying states are characterized

Numerical methods effectively analyze p-wave bound states

Abstract

The eigenvalue problem for the p-wave bound states formed by two unequal-mass scalar particles through the massive scalar particle exchange is analyzed numerically in the framework of the Bethe-Salpeter ladder model. As in the s-wave case, the eigenvalues of the coupling constant are found to become complex for some mass configurations in some range of the bound state mass. The Bethe-Salpeter amplitudes of the low-lying bound states are also investigated.