Stability of bound states in the light-front Yukawa 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 values of the coupling constant $\alpha$ below a critical value ${\alpha }_c$. This latter is calculated from an eigenvalue equation.

Comments: 4 pages, 3 figures, .tar.gz file