Weak binding limit and non zero angular momentum states in Light-Front Dynamics

TL;DR

This paper investigates the weak binding limit for J=0 states and constructs non-zero angular momentum states within Light-Front Dynamics, highlighting how this approach restores rotational invariance despite interaction-dependent rotation generators.

Contribution

It introduces a method to construct non-zero angular momentum states in Light-Front Dynamics, addressing the peculiarities caused by interaction-dependent rotation generators.

Findings

Weak binding limit for J=0 states differs from non-relativistic case

Construction of non-zero angular momentum states in LFD is feasible

Restoration of rotational invariance achieved through covariant formulation

Abstract

We show some results concerning the weak binding limit for J=0 states -- which turn out to strongly differ from the non relativistic case -- together with the construction of non zero angular momentum states. The calculation of such states in the Light-Front Dynamics (LFD) framework has some peculiarities which are absent in other approaches. They are related to the fact that the rotation generators contain interaction. We present here the construction of non zero angular momentum states in LFD and show how it leads to a restoration of rotational invariance. For this purpose, the use of Light-Front Dynamics in its explicitly covariant formulation is of crucial importance since the dependence of the wave function on the light-front plane is explicitly parametrized.