Stability of bound states in the light-front Yukawa model

TL;DR

This paper demonstrates that in a two-fermion scalar exchange system, bound state solutions are stable without regularization below a certain coupling strength.

Contribution

It shows stability of bound states in the light-front Yukawa model without cutoff regularization for specific coupling constants.

Findings

Bound states are stable without cutoff regularization.

Stability depends on the coupling constant being below a critical value.

Applicable to J^{} = 0^+ states in the model.

Abstract

We show that in the system of two fermions interacting by scalar exchange, the solutions for J$^{\pi}$=$0^+$ bound states are stable without any cutoff regularization for coupling constant below some critical value.