Bound states of relativistic nature
Abstract
Bethe-Salpeter equation, for massless exchange and large fine structure constant , in addition to the Balmer series, provides another (abnormal) series of energy levels which are not given by the Schr\"odinger equation. So strong field can be created by a point-like charge . The nuclei with this charge, though available, they are far from to be point-like that weakens the field. Therefore, the abnormal states of this origin hardly exist. We analyze the more realistic case of exchange by a massive particle when the large value of coupling constant is typical for the strong interaction. It turns out that this interaction still generates a series of abnormal relativistic states. The properties of these solutions are studied. Their existence in nature seems possible.
Keywords
Cite
@article{arxiv.1903.02892,
title = {Bound states of relativistic nature},
author = {V. A. Karmanov and J. Carbonell and H. Sazdjian},
journal= {arXiv preprint arXiv:1903.02892},
year = {2019}
}
Comments
13 pages, 10 figures, to be published in Proceedings of the International Conference: Nuclear Theory in the Supercomputing Era-2018 (NTSE-2018), Daejeon, South Korea, October 29 - November 2, 2018; eds. A. M. Shirokov and A. I. Mazur. Pacific National University, Khabarovsk, Russia, 2019