Manifestly covariant current matrix elements in the Point Form Relativistic Hamiltonian Dynamics

TL;DR

This paper derives a covariant expression for current matrix elements in three-quark systems within Point Form Relativistic Hamiltonian Dynamics, comparing it critically with existing formulas, under the relativistic impulse approximation.

Contribution

It introduces a new manifestly covariant formulation for current matrix elements in three-quark systems using Point Form Dynamics, enhancing theoretical consistency.

Findings

Derived a covariant expression for current matrix elements

Compared new formulation with existing literature

Validated the approach within the relativistic impulse approximation

Abstract

A manifestly covariant expression for the current matrix elements of three quark bound systems is derived in the framework of the Point Form Relativistic Hamiltonian Dynamics. The relativistic impulse approximation is assumed in the model. A critical comparison is made with other expressions usually given in the literature.