This article is cited in 1 paper

PHYSICS

Solution of relativistic partial equations for scattering $d$-states

V. N. Kapshai, A. A. Grishechkina

Francisk Skorina Gomel State University

Abstract: Partial Green's functions for d-states are defined in the relativistic configurational representation and expressed in terms of elementary functions. For the Green's functions obtained the asymptotics are found for large values of the coordinate, and their nonrelativistic limit is determined. Four quasipotential partial equations in the relativistic configuration representation for scattering states are solved exactly in cases of “delta-sphere potential” and “superposition of two delta-sphere potentials”. The partial amplitudes and the scattering cross sections are determined.

Keywords: quasipotential approach, relativistic configurational representation, Green’s functions, scattering state, $d$-state, delta function potential.

UDC: 539.12.01

Received: 09.01.2023

DOI: 10.54341/20778708_2023_1_54_25