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arXiv · 1903.02892

Bound states of relativistic nature

V. A. Karmanov·J. Carbonell·H. Sazdjian
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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.

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V. A. Karmanov, J. Carbonell, H. Sazdjian. 2019-03-07. Bound states of relativistic nature. https://doi.org/10.1051/epjconf/201920401014

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