On the Crucial Significance of the Multi-Configuration Structure of a Bound State of Several Dirac Particles

TL;DR

This paper emphasizes the importance of considering multiple configurations in the bound states of several Dirac particles, using mathematical algebra, to better understand phenomena like the proton spin crisis.

Contribution

It demonstrates, through rigorous mathematical arguments, that multiple configurations are essential for accurately describing multi-Dirac particle bound states, addressing a key gap in current understanding.

Findings

Multiple configurations are necessary for accurate descriptions.

Mathematical proof using Wigner-Racah algebra.

Addresses the proton spin crisis phenomenon.

Abstract

The structure of a bound state of several Dirac particles is discussed. Relying on solid mathematical arguments of the Wigner-Racah algebra, it is proved the a non-negligible number of configurations is required for a description of this kind of systems. At present, the main results are not widely known and this is the underlying reason for the phenomenon called the proton spin crisis.