PHYSICS

Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type

Yu. A. Grishechkin, V. N. Kapshai, M. S. Danilchenko

F. Scorina Gomel State University

Abstract: The exact solutions of relativistic two-particle quasipotential type equations for bound states in the case of the potential «$\delta$-sphere» in the relativistic configuration representation and in the case of the superposition of two such potentials are considered. The signs of the coefficients in the $\delta$-potentials that allow the existence of bound states and the maximum possible number of this states are defined on the basis of the analysis of the energy quantization conditions.

Keywords: relativistic two-particle equation, relativistic configurational representation, delta-function potential, bound state, energy quantization condition.

UDC: 539.12.01

Received: 28.02.2017