LALE ORALOĞLU INTERNATIONAL CONGRESS ON CULTURE, ARTS AND MULTIDISCIPLINARY STUDIES, Ankara, Turkey, 21 - 23 May 2021, pp.506-515
We analyze the effects of uniformly rotating frame on an interacting electron (𝑒− ) antielectron
(𝑒+) pair in a topological defect-induced three-dimensional geometric background. Considering
that these particles interact via a Coulomb-type interparticle interaction potential, we solve the
corresponding fully-covariant two-body Dirac equation in the rotating frame of cosmic stringgenerated
spacetime background. As a result, we obtain an energy spectrum in closed form and
discuss the effects of uniformly rotating frame on the energy of such a 𝑒− 𝑒+pair. We apply this
energy spectrum for Positronium system and analyze the effects of the uniformly rotating frame
and spacetime topology effects on the energy of spin symmetric and spin antisymmetric quantum
states of the system in question. We obtain that the angular velocity of the uniformly rotating frame
decreases the magnitude of binding energy of the considered composite structure. In addition, we
show that the angular velocity of the uniformly rotating frame increases the decaytime of the
damping modes for spin antisymmetric quantum state of the system in question. Our results show
that it can be possible to actively tune the binding energy and decaytime of such systems, in
principle.