Guvendi, AbdullahZare, SoroushHassanabadi, Hassan2026-03-262026-03-2620222212-686410.1016/j.dark.2022.1011332-s2.0-85141976075https://doi.org/10.1016/j.dark.2022.101133https://hdl.handle.net/20.500.14901/1906Hassanabadi, Hassan/0000-0001-7487-6898; Zare, Soroush/0000-0003-0748-3386; Güvendi, Abdullah/0000-0003-0564-9899We study the relativistic dynamics of a two-body system with nonminimal couplings in the topological defect-generated 1 + 2-dimensional space-time by using a fully-covariant two-body Dirac equation. We choose the nonminimal couplings as Cornell type interaction potential function and analyze the dynamics of such an interacting fermion-antifermion system (static). The corresponding equation has led 4 x 4 matrix equation, resulting in four first-order equations, two of which are algebraic. We have performed the exact solution of this set of equations and have found an exact spectrum in closed-form. This has given us an opportunity to discuss the effect of space-time background on the dynamics of the considered composite structure. Our findings have shown that all of the possible spin quantum states of such a pair of fermion-antifermion pair sense differently the effect of the space-time background and have shown that the space-time topology impacts on the interaction of such a pair of fermion-antifermion.(c) 2022 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessCosmic String Space-TimeCornell PotentialTwo-Body Dirac OscillatorFermion-Antifermion PairArticle