https://doi.org/10.1140/epjp/s13360-021-02083-7
Regular Article
Superstatistical properties of a fermion–antifermion pair interacting via Dirac oscillator coupling in one-dimension
1
Department of Medical Imaging Techniques, Kutahya Health Sciences University, Kutahya, Turkey
2
Laboratoire de Physique Appliquée et Théorique, Université Larbi-Tébessi-Tébessa, Tebessa, Algeria
b abdelmalek.boumali@univ-tebessa.dz, boumali.abdelmalek@gmail.com
Received:
2
June
2021
Accepted:
17
October
2021
Published online:
1
November
2021
We consider a fermion–antifermion pair interacting through Dirac oscillator interaction in one-spatial dimension and obtain an exact energy spectrum for such a composite system by solving the corresponding form of a fully covariant two-body Dirac equation. This energy spectrum shows that the considered composite system behaves as a single quantum oscillator carrying total rest mass of the particles and allows to analyze thermal properties of the system in question. To acquire this, we study the thermal properties of such a pair in the framework of the theory of superstatistics where the probability density 
follows three distributions: Gamma, Log-normal and F-distributions. First of all, we determine the partition function under the approximation of the low-energy asymptotics of superstatistics through the Euler–Maclaurin formula. By using the desired partition function, we determine all of the thermal properties for such a pair in terms of the parameter q and discuss the results.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
