Eur. Phys. J. Plus (2022) 137: 589
https://doi.org/10.1140/epjp/s13360-022-02802-8

Regular Article

Relativistic Landau quantization for a composite system in the spiral dislocation spacetime

¹ Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
² Department of Medical Imaging Techniques, Kutahya Health Sciences University, Kutahya, Turkey

^b h.hasanabadi@shahroodut.ac.ir

Received: 27 August 2021
Accepted: 4 May 2022
Published online: 15 May 2022

Abstract

We study a static composite structure formed by relativistic fermion–antifermion pair holding together through Cornell-type non-minimal coupling under the effect of an external magnetic field in the spiral dislocation spacetime by solving the corresponding form of a fully covariant two-body Dirac equation. This equation has been derived as an excited state of Zitterbewegung and leads -dimensional matrix equation for the system in question. We solve the matrix equation exactly and obtain an exact spectrum in the energy domain. Besides, we observe that such a composite system behaves as a single relativistic quantum oscillator oscillating with a single frequency and carrying total rest mass of the particles. Then, we analyze the results in several physical limits. We think that our results can provide important information for the relativistic dynamics of composite systems formed by quark–antiquark pairs.