Relativistic two-particle problem in the Lagrange formalism
General Physics
2023-12-05 v1
Abstract
The relativistic two body problem is considered in terms of the action integral in the case of two interacting spinless particles and spin- fermions, interacting by means of vector and scalar fields. The Lagrangians governing the dynamics of such particles are derived in the momentum representation. In the Breit frame, when the two-body system is at rest as whole, the obtained Lagrangians generate the Klein-Gordon-like and Dirac-like equations in the (3+1) phase space. The derived equations are examined by studying a para-positronium in a strong magnetic field. It is shown that a strong magnetic fields result in essential decreasing the para-positronium life-time.
Cite
@article{arxiv.2312.00816,
title = {Relativistic two-particle problem in the Lagrange formalism},
author = {A. V. Koshelkin},
journal= {arXiv preprint arXiv:2312.00816},
year = {2023}
}
Comments
14 pages, 1 fugure