Dirac equation solution with generalized tanh-shaped hyperbolic potential : application to charmonium and bottomonium mass spectra

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00008936
URN to cite this document: urn:nbn:de:bvb:703-epub-8936-6

Title data

Badalov, V. H. ; Ahmadov, A. I. ; Dadashov, E. A. ; Badalov, Sabuhi:
Dirac equation solution with generalized tanh-shaped hyperbolic potential : application to charmonium and bottomonium mass spectra.
In: The European Physical Journal Plus. Vol. 140 (2025) . - 802.
ISSN 2190-5444
DOI der Verlagsversion: https://doi.org/10.1140/epjp/s13360-025-06630-4

	Format: PDF Name: s13360-025-06630-4.pdf Version: Published Version Available under License Creative Commons BY 4.0: Attribution
	Download (553kB)

Project information

Project title:	Project's official title Project's id Open Access Publizieren No information

Abstract

In this study, we present an analytical solution of the Dirac equation in a generalized tanh-shape hyperbolic potential, which allows us to unify various well-known quantum potentials under a single theoretical framework. This versatile potential model is used to compute the mass spectra for charmonium and bottomonium, with excellent agreement with experimental measurements, and does better than some potential models in predicting the several orbital states. Our results not only validate the GTHP as a powerful tool for describing heavy quarkonium systems but also suggest its broader applicability in exploring quantum systems where similar potentials are effective. This work is a stepping stone for new research into fermionic systems with complex interactions, by jointly providing insights into foundational aspects of quantum mechanics as well as applications in particle physics.

Further data

Item Type:	Article in a journal
DDC Subjects:	500 Science > 530 Physics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics VII - Computational Materials Design (BayBatt) Research Institutions > Central research institutes > Bayerisches Zentrum für Batterietechnik - BayBatt Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Research Institutions Research Institutions > Central research institutes
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-8936-6
Date Deposited:	27 Feb 2026 13:06
Last Modified:	27 Feb 2026 13:07
URI:	https://epub.uni-bayreuth.de/id/eprint/8936

Download Statistics

Download Statistics

Download Statistics

Downloads

Downloads per month over past year