Relativistic Covariant Equal-Time Equation For Quark-Diquark System

TL;DR

This paper develops relativistic equal-time equations for quark-diquark systems, enabling more accurate calculations of their energy spectra, decay rates, and structure functions, which are essential for understanding nucleons and related particles.

Contribution

It introduces a relativistic covariant equal-time framework for quark-diquark systems, including spin structure and partial-wave equations, advancing theoretical modeling of these bound states.

Findings

Derived partial-wave equations for fermion-boson systems

Provided a basis for calculating energy spectra and decay rates

Enhanced understanding of quark-diquark interactions

Abstract

Relativistic three-dimensional quasipotential (equal-time) equations are considered, which describe bound states of fermion and boson of spin S=0 or S=1. The spin structure of the interaction quasipotentials in such systems is studied, and corresponding partial-wave equation for the simplest case is obtained. Such equations can be used in calculations of energy spectra, decay rates and structure functions of quark-diquark systems (nucleons and their resonances) as well as for description of ($\pi\mu$)- atom.