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Dissociation of nucleon and heavy baryon in an anisotropic hot and dense QCD medium using Nikiforov–Uvarov method

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Abstract

By using the Nikiforov–Uvarov method, the hyper-radial Schrödinger equation is analytically solved, in which the real modified potential is employed at finite temperature and baryon chemical potential. The eigenvalue of energy and corresponding wave function are obtained in the isotropic and anisotropic media in the hot and dense media. The present results show that the binding energy of nucleon and some heavy baryon decreases strongly in hot medium and decreases slightly with increasing baryon chemical potential. In addition, the binding energy for each baryon is more bound in an anisotropic medium in comparison with its value in an isotropic medium. The temperature dissociation of each baryon is above a critical temperature, and it increases in the anisotropic medium. The dissociation of temperature is slightly decreased in the hot medium when the baryon of chemical potential is considered. A comparison is studied with the other available studies. We conclude that the present study provides a good description of the nucleon and some heavy baryon in the hot and dense media in the isotropic and anisotropic systems.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Science, Menoufia University, Shibin El Kom, Egypt

    M. Abu-Shady

  2. Department of Physics, University of South Africa, Florida, 1710, Johannesburg, South Africa

    A. N. Ikot

  3. Theoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323 Choba, Port Harcourt, Nigeria

    A. N. Ikot

Authors
  1. M. Abu-Shady
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  2. A. N. Ikot
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Correspondence to A. N. Ikot.

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Abu-Shady, M., Ikot, A.N. 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

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00436-2

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