{ "id": "1903.02892", "version": "v1", "published": "2019-03-07T13:10:55.000Z", "updated": "2019-03-07T13:10:55.000Z", "title": "Bound states of relativistic nature", "authors": [ "V. A. Karmanov", "J. Carbonell", "H. Sazdjian" ], "comment": "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", "categories": [ "hep-ph", "hep-th", "nucl-th" ], "abstract": "Bethe-Salpeter equation, for massless exchange and large fine structure constant $\\alpha>\\pi/4$, 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 $Z>107$. 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.", "revisions": [ { "version": "v1", "updated": "2019-03-07T13:10:55.000Z" } ], "analyses": { "keywords": [ "bound states", "relativistic nature", "large fine structure constant", "abnormal relativistic states", "bethe-salpeter equation" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }