Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity

TL;DR

This paper investigates the relativistic quantum behavior of a spin-0 particle within a rainbow gravity framework, considering non-minimal coupling and cosmic topological defects, revealing diverse energy spectra influenced by geometric and rainbow functions.

Contribution

It introduces an analytical study of the generalized Duffin-Kemmer-Petiau oscillator with non-minimal coupling in rainbow gravity, highlighting the effects of topological defects and rainbow functions on energy spectra.

Findings

Energy eigenvalues exhibit symmetric, anti-symmetric, and symmetry-breaking patterns.

The deficit angular parameter significantly influences the solutions.

Rainbow functions modify the relativistic quantum dynamics of the system.

Abstract

In this study, we survey the generalized Duffin-Kemmer-Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of cosmic topological defects in space-time. In this regard, we intend to investigate relativistic quantum dynamics of a spin-0 particle under the modification of the dispersion relation according to the Katanaev-Volovich geometric approach. Thus, based on the geometric model, we study the aforementioned bosonic system under the modified background by a few rainbow functions. In this way, by using an analytical method, we acquire energy eigenvalues and corresponding wave functions corresponding to each scenario. Regardless of rainbow gravity function selection, the energy eigenvalue can present symmetric, anti-symmetric, and symmetry breaking characteristics. Besides, one can see that the deficit angular parameter plays an important role in the solutions.