Effects of Topological Defects and Magnetic Flux on Dissociation Energy of Quarkonium in an Anisotropic Plasma
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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References
M. Abu-Shady, and A.N. Ikot, “Analytic solution of multi-dimensional Schrodinger equation in hot and dense QCD media using the SUSYQM method,” The European Physical Journal Plus, 134(7), 321 (2019). https://doi.org/10.1140/epjp/i2019-12685-y
M. Abu-Shady, and H.M. Fath-Allah, “Melting of quarkonium in an anisotropic hot QCD medium in the presence of a generalized Debye screening mass and Nikiforov-Uvarov's method,” International Journal of Modern Physics A, 35(21), 2050110 (2020). https://doi.org/10.1142/S0217751X20501109
M. Abu-Shady, T.A. Abdel-Karim, and E.M. Khokha, “Binding energies and dissociation temperatures of heavy quarkonia at finite temperature and chemical potential in the N-dimensional space,” Advances in High Energy Physics, 2018, 1-12 (2018). http://dx.doi.org/10.1155/2018/7356843
M. Abu-Shady, “Quarkonium masses in a hot QCD medium using conformable fractional of the Nikiforov-Uvarov method,” International Journal of Modern Physics A, 34(31), 1950201 (2019). https://doi.org/10.1142/S0217751X19502014
M. Abu-Shady, “The effect of finite temperature on the nucleon properties in the extended linear sigma model,” International Journal of Modern Physics E, 21(06), 1250061 (2012). https://doi.org/10.1142/S0218301312500619
M. Abu-Shady, “Meson properties at finite temperature in the linear sigma model,” International Journal of Theoretical Physics 49, 2425-2436 (2010). https://doi.org/10.1007/s10773-010-0428-9
M. Abu-Shady, “Nucleon Properties Below the Critical Point Temperature,” International Journal of Theoretical Physics, 50, 1372-1381 (2011). https://doi.org/10.1007/s10773-010-0646-1
M. Abu-Shady, and M. Soleiman, “The extended quark sigma model at finite temperature and baryonic chemical potential,” Physics of Particles and Nuclei Letters, 10, 683-692 (2013). https://doi.org/10.1134/S1547477114010026
M. Abu-Shady, “Chiral logarithmic sigma model at finite temperature and baryonic chemical potential,” Modern Physics Letters A, 29(34), 1450176 (2014). https://doi.org/10.1142/S0217732314501764
M. Abu-Shady, and H.M. Mansour, “Nucleon properties in the quantized linear sigma model at finite temperature and chemical potential,” Journal of Physics G: Nuclear and Particle Physics, 43(2), 025001 (2015). https://doi.org/10.1088/0954-3899/43/2/025001
M. Abu-Shady, 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, 4785615 (2019). https://doi.org/10.1155/2019/4785615
M. Abu-Shady, A. N. Ikot, Dissociation of nucleon and heavy baryon in an anisotropic hot and dense QCD medium using Nikiforov–Uvarov method. Eur. Phys. J. Plus 135, 406 (2020). https://doi.org/10.1140/epjp/s13360-020-00436-2
M. Abu-Shady, “Studying quarkonium in the anisotropic hot-dense quark-gluon plasma medium in the framework of generalized fractional derivative,” Revista Mexicana de Fisica, 69(4), 040801-1 (2023). https://doi.org/10.31349/RevMexFis.69.040801
A.L.C. de Oliverira, and E.R.B. de Mello, Int. J. Mod. Phys. A, 18, 3175 (2003).
E.R.B. de Mello, and C. Furtado, Phys. Rev. D, 56, 1345 (1997).
F. Ahmed, “Topological Effects with Inverse Quadratic Yukawa Plus Inverse Square Potential on Eigenvalue Solutions,” Grav. Cosmol. 29, 232–239 (2023). https://doi.org/10.1134/S0202289323030039
A. Vilenkin, “Cosmic strings and domain walls,” Physics Reports, 121(5-6), 263-315 (2000). https://doi.org/10.1016/s0370-1573(99)00103-4
P.A.R. Ade, et al., (Planck Collaboration), “Planck 2015 results - XXIV. Cosmology from Sunyaev-Zeldovich cluster counts,” Astronomy & Astrophysics, 594, A24 (2016). https://doi.org/10.1051/0004-6361/201525833
T. Matsuda, K. Tomita, and H. Sato, “Large-scale structure formation by global defects of the A2 type,” Astrophysical Journal, 686(1), 1-20 (2008). https://doi.org/10.1086/590073
L. Thakur, N. Haque, U. Kakade, and B.K. Patra, “Dissociation of quarkonium in an anisotropic hot QCD medium,” Physical Review D, 88(5), 054022 (2013).
O. Kaczmarek, “Screening at finite temperature and density,” hep-let/07100498 (2007).
M. Moring, S. Ejir, O. Kaczmarek, F. Karsch, and E. Laermann, PoSLAT, 2005, 193 (2006).
B. Liu, P.N. Shen, and H.C. Chiang, “Heavy quarkonium spectra and dissociation in hot and dense matter,” Physical Review C, 55(6), 3021 (1997).
A.F. Nikiforov, and V.B. Uvarov, Special Functions of Mathematical Physics, (Birkhauser, Basel, 1988).
M. Abu-Shady, 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), 2150195 (2021). https://doi.org/10.1142/S0217751X21501955
M. Abu-Shady, and Sh.Y. Ezz-Alarab, “Conformable fractional of the analytical exact iteration method for heavy quarkonium masses spectra,” Few-Body Systems, 62, 1-8 (2021). https://doi.org/10.1007/s00601-021-01591-7
S. B. Doma, M. Abu-Shady, F. N. El-Gammal & A. A. Amer, Ground states of the hydrogen molecule and its molecular ion in the presence of a magnetic field using the variational Monte Carlo method, Molecular Physics, 114:11, 1787-1793 (2016), DOI: 10.1080/00268976.2016.1154198
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