Effects of Topological Defects and Magnetic Flux on Dissociation Energy of Quarkonium in an Anisotropic Plasma
Keywords:
Topological effects, Schrödinger equation, Nikiforov-Uvarov method, Finite temperature, Baryonic chemical potential
Abstract
In this paper, we investigate the effects of anisotropic parameters, topological defects, and magnetic flux on the dissociation energy of bottomonium in an anisotropic quark-gluon plasma. We use the three-dimensional Schrödinger equation and derive the energy eigenvalues. Our findings show that the dissociation energy decreases with increasing temperature, but there is a slight shift towards higher values when the magnetic flux is increased. Furthermore, the inclusion of topological defects causes further shifts in the dissociation energy at high temperatures. Additionally, we analyze the impact of anisotropic medium on dissociation energy, both with and without considering topological defects. We observe that including topological defects results in higher values for the dissociation energy across all temperatures, while ignoring them leads to lower values at all temperatures studied. Moreover, we consider the baryonic chemical potential and find that its effect on dissociation is negligible compared to temperature variations. These findings provide valuable insights into the behavior of heavy quarkonium systems under different physical conditions and contribute to our understanding of topological effects in anisotropic media.
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Physical Journal Plus 134.7 (2019): 321.
2. Abu-Shady, M., and H. M. Fath-Allah. "Melting of quarkonium in an anisotropic hot
QCD medium in the presence of a generalized Debye screening mass and Nikiforovñ
Uvarovís method." International Journal of Modern Physics A 35.21 (2020): 2050110.
3. Abu-Shady, M., T. A. Abdel-Karim, and E. M. Khokha. "Binding energies and dissociation temperatures of heavy quarkonia at Önite temperature and chemical potential
in the N-dimensional space." Advances in High Energy Physics 2018 (2018): 1-12.
4. Abu-Shady, M. "Quarkonium masses in a hot QCD medium using conformable fractional of the NikiforovñUvarov method." International Journal of Modern Physics A
34.31 (2019): 1950201.
5. Abu-Shady, M. "The e§ect of Önite temperature on the nucleon properties in the
extended linear sigma model." International Journal of Modern Physics E 21.06 (2012):
1250061.
6. Abu-Shady, M. "Meson properties at Önite temperature in the linear sigma model."
International Journal of Theoretical Physics 49 (2010): 2425-2436.
12
7. Abu-Shady, M. "Nucleon Properties Below the Critical Point Temperature." International Journal of Theoretical Physics 50 (2011): 1372-1381.
8. Abu-Shady, M., and M. Soleiman. "The extended quark sigma model at Önite temperature and baryonic chemical potential." Physics of Particles and Nuclei Letters 10
(2013): 683-692.
9. Abu-Shady, M. "Chiral logarithmic sigma model at Önite temperature and baryonic
chemical potential." Modern Physics Letters A 29.34 (2014): 1450176.
10. Abu-Shady, M., and H. M. Mansour. "Nucleon properties in the quantized linear sigma
model at Önite temperature and chemical potential." Journal of Physics G: Nuclear
and Particle Physics 43.2 (2015): 025001.
11. Abu-Shady, M., H. M. Mansour, and A. I. Ahmadov. "Dissociation of quarkonium
in hot and dense media in an anisotropic plasma in the nonrelativistic quark model."
Advances in High Energy Physics 2019 (2019).
12. Abu-Shady, M., and H. M. Fath-Allah. "Melting of quarkonium in an anisotropic hot
QCD medium in the presence of a generalized Debye screening mass and Nikiforovñ
Uvarovís method." International Journal of Modern Physics A 35.21 (2020): 2050110.
13. Abu-Shady, M. "Studying quarkonium in the anisotropic hot-dense quark-gluon
plasma medium in the framework of generalized fractional derivative." Revista Mexicana de Fisica 69.4 Jul-Aug (2023): 040801-1.
14. A. L. C. de Oliverira and E. R. B. de Mello, Int. J. Mod. Phys. A 18, 3175 (2003)
15. E. R. B. de Mello and C. Furtado, Phys. Rev. D 56, 1345 (1997)
16. F. Ahmed,Topological E§ects With Inverse Quadratic Yukawa Plus Inverse Square
Potential on Eigenvalue Solutions, Grav. Cosmol. No. 3, 2023.
17. Vilenkin, A. Cosmic strings and domain walls. Physics Reports, 121(5-6), 263-315
(2000). doi:10.1016/s0370-1573(99)00103-4
18. Ade, P. A. R., et al. (Planck Collaboration). (2016). Planck 2015 results - XXIV.
Cosmology from Sunyaev-Zeldovich cluster counts. Astronomy & Astrophysics, 594,
A24. doi:10.1051/0004-6361/201525833
13
19. Matsuda, T., Tomita, K., & Sato, H. Large-scale structure formation by global defects
of the A2 type. Astrophysical Journal, 686(1), 1-20 (2008). doi:10.1086/590073
20. Thakur, L., Haque, N., Kakade, U., & Patra, B. K. (2013). Dissociation of quarkonium
in an anisotropic hot QCD medium. Physical Review D, 88(5), 054022.
21. O. Kaczmarek, Screening at Önite temperature and density, hep-let/07100498 (2007).
22. M. Moring, S. Ejir, O. Kaczmarek, F. Karsch and E. Laermann, PoSLAT 2005, 193
(2006).
23. Liu, B., Shen, P. N., & Chiang, H. C. (1997). Heavy quarkonium spectra and J=
dissociation in hot and dense matter. Physical Review C, 55(6), 3021.
24. Af. Nikiforov Uvarov, "Special Functions of Mathematical Physics" Birkhauser, Basel
(1988).
25. Abu-Shady, M., and E. M. Khokha. "Bound state solutions of the Dirac equation for
the generalized Cornell potential model." International Journal of Modern Physics A
36.29 (2021): 2150195.
26. Abu-Shady, M., and Sh Y. Ezz-Alarab. "Conformable fractional of the analytical
exact iteration method for heavy quarkonium masses spectra." Few-Body Systems 62
(2021): 1-8
27. Doma, S. B., et al. "Ground states of the hydrogen molecule and its molecular ion in
the presence of a magnetic Öeld using the variational Monte Carlo method." Molecular
Physics 114.11 (2016): 1787-1793
Published
2024-03-05
Cited
How to Cite
Abu-Shady, M., & Inyang, E. P. (2024). Effects of Topological Defects and Magnetic Flux on Dissociation Energy of Quarkonium in an Anisotropic Plasma. East European Journal of Physics, (1), 167-174. https://doi.org/10.26565/2312-4334-2024-1-14
Section
Original Papers
Copyright (c) 2024 Mohamed Abu-Shady, Etido P. Inyang
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