Helium-3 relativistic wave function in light-front dynamics

TL;DR

This paper computes the relativistic wave function of helium-3 using light-front dynamics, revealing relativistic effects and new components absent in non-relativistic models, with implications for nuclear structure understanding.

Contribution

It introduces a detailed relativistic wave function for helium-3 in light-front dynamics, including 32 components and their dependence on scalar variables, without potential approximation.

Findings

Relativistic components deviate from non-relativistic input

New components appear in the relativistic wave function

Wave function depends on variables absent in non-relativistic models

Abstract

The relativistic wave function of $^3$He nucleus is calculated in the framework of Light-Front Dynamics. It is determined by 32 spin-isospin components, each of which depends on five scalar variables. For NN interaction, the one-boson exchange model is assumed, but without a potential approximation. The relativistic effects manifest themselves in deviation of the relativistic components from the non-relativistic input, in the appearance of the components absent in the non-relativistic limit, and in dependence of solutions on specific variables that don't exist in the non-relativistic wave function.