Dynamics of a composite system in a point source-induced space–time

• Published in: International journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 36; no. 19; p. 2150144
• Main Author: Guvendi, Abdullah
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 10.07.2021; World Scientific Publishing Co. Pte., Ltd
• Subjects: Coupling; Dirac equation; Energy; Energy levels; Energy spectra; Fermions; Physics; Topology; fermion–antifermion systems; Dirac oscillator; Quantum fields in curved spaces
• ISSN: 0217-751X; 1793-656X
• DOI: 10.1142/S0217751X2150144X

We investigate the dynamics of a composite system ( ) consisting of an interacting fermion–antifermion pair in the three-dimensional space–time background generated by a static point source. By considering the interaction between the particles as Dirac oscillator coupling, we analyze the effects of space–time topology on the energy of such a . To achieve this, we solve the corresponding form of a two-body Dirac equation (fully-covariant) by assuming the center-of-mass of the particles is at rest and locates at the origin of the spatial geometry. Under this assumption, we arrive at a nonperturbative energy spectrum for the system in question. This spectrum includes spin coupling and depends on the angular deficit parameter ( ) of the geometric background. This provides a suitable basis to determine the effects of the geometric background on the energy of the under consideration. Our results show that such a behaves like a single quantum oscillator. Then, we analyze the alterations in the energy levels and discuss the limits of the obtained results. We show that the effects of the geometric background on each energy level are not same and there can be degeneracy in the energy levels for small values of the .