Anisotropic Behavior of S-Wave and P-Wave States of Heavy Quarkonia at Finite Magnetic Field

Vineet Kumar Agotiya (Department of Physics, Central University of Jharkhand Ranchi, 835 222, India) ; Manohar Lal (Department of Physics, Central University of Jharkhand Ranchi, 835 222, India) ; Siddhartha Solanki (Department of Physics, Central University of Jharkhand Ranchi, 835 222, India) ; Rishabh Sharma (Department of Physics, Central University of Jharkhand Ranchi, 835 222, India)

We studied the effect of momentum space anisotropy on heavy quarkonium states using an extended magnetized effective fugacity quasiparticle model (EQPM). Both the real and imaginary part of the potential has been modified through the dielectric function by including the anisotropic parameter ξ. The real part of the medium-modified potential becomes more attractive in the presence of the anisotropy and constant magnetic field. The binding energy of the 1S, 2S, and 1P quarkonium states including anisotropy effects for both the oblate and the isotropic case were studied. We find that the binding energy of QQ¯ states becomes stronger in the presence of anisotropy. However, the magnetic field is found to reduce the binding energy. The thermal width of the charmonium and bottomonium 1S states has been studied at constant magnetic field eB=0.3 GeV2 for isotropic and prolate cases. The effect of magnetic field on the mass spectra of the 1P state for the oblate case was also examined. The dissociation temperature for the 1S, 2S, and 1P states of charmonium and bottomonium has been determined to be higher for the oblate case with respect to the isotropic case.

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    {
      "source": "Hindawi", 
      "value": "We studied the effect of momentum space anisotropy on heavy quarkonium states using an extended magnetized effective fugacity quasiparticle model (EQPM). Both the real and imaginary part of the potential has been modified through the dielectric function by including the anisotropic parameter <math id=\"M1\"><mi>\u03be</mi></math>. The real part of the medium-modified potential becomes more attractive in the presence of the anisotropy and constant magnetic field. The binding energy of the 1S, 2S, and 1P quarkonium states including anisotropy effects for both the oblate and the isotropic case were studied. We find that the binding energy of <math id=\"M2\"><mi>Q</mi><mover><mi>Q</mi><mo>\u00af</mo></mover></math> states becomes stronger in the presence of anisotropy. However, the magnetic field is found to reduce the binding energy. The thermal width of the charmonium and bottomonium <math id=\"M3\"><mn>1</mn><mi>S</mi></math> states has been studied at constant magnetic field <math id=\"M4\"><mi>e</mi><mi>B</mi><mo>=</mo><mn>0.3</mn><mtext> </mtext><mi>G</mi><mi>e</mi><msup><mrow><mi>V</mi></mrow><mrow><mn>2</mn></mrow></msup></math> for isotropic and prolate cases. The effect of magnetic field on the mass spectra of the 1P state for the oblate case was also examined. The dissociation temperature for the 1S, 2S, and 1P states of charmonium and bottomonium has been determined to be higher for the oblate case with respect to the isotropic case."
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Published on:
15 June 2023
Publisher:
Hindawi
Published in:
Advances in High Energy Physics (2023)

DOI:
https://doi.org/10.1155/2023/6922729
arXiv:
2306.00908
Copyrights:
Copyright © 2023 Manohar Lal et al.
Licence:
CC-BY-3.0

Fulltext files: