Six-body Light-Front Tamm-Dancoff approximation and wave functions for the massive Schwinger model

TL;DR

This paper applies a six-body light-front Tamm-Dancoff approximation to the massive Schwinger model, providing detailed wave functions and confirming the small six-body component in the two-meson bound state.

Contribution

It introduces a six-body LFTD approximation for the massive Schwinger model and demonstrates its effectiveness in analyzing bound states and their wave functions.

Findings

Two-meson bound state has negligible six-body component

Wave functions effectively identify three-meson states

Two-meson state well described by relative motion wave function

Abstract

The spectrum of the massive Schwinger model in the strong coupling region is obtained by using the light-front Tamm-Dancoff (LFTD) approximation up to including six-body states. We numerically confirm that the two-meson bound state has a negligibly small six-body component. Emphasis is on the usefulness of the information about states (wave functions). It is used for identifying the three-meson bound state among the states below the three-meson threshold. We also show that the two-meson bound state is well described by the wave function of the relative motion.