Anisotropic behavior of S-wave and P-wave states of heavy quarkonia at finite magnetic field (2306.00908v1)

Abstract: 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 $\xi$. 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 quarkonium 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 have 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 charmonium and bottomonium have been determined to be higher for the oblate case with respect to the isotropic case

• The paper demonstrates that momentum anisotropy increases heavy quarkonia binding energies while a strong magnetic field reduces them.
• The study applies the Extended Quasiparticle Model with the Schrödinger equation to numerically analyze the modified potential and dissociation temperatures.
• The results provide crucial insights into quark-gluon plasma dynamics, aiding predictions for heavy-ion collision experiments.

Anisotropic Behaviour of S-wave and P-wave States of Heavy Quarkonia at Finite Magnetic Field

This paper addresses the impact of momentum space anisotropy on the characteristics of heavy quarkonium states within a hot Quantum Chromodynamics (QCD) medium under a finite magnetic field. An Extended Quasiparticle Model (EQPM) has been utilized to analyze both the real and imaginary components of the quark-antiquark potential modified by a dielectric function incorporating an anisotropic parameter, ξ. The investigation examines the effect of this anisotropy on quarkonium states, finding that the binding energy of quarkonium pairs intensifies with anisotropy but decreases under an increasing magnetic field. Additionally, the paper explores the thermal width and mass spectra of different quarkonium states at a constant magnetic field, leading to revelations regarding their dissociation temperatures.

A key component of this research lies in the observation that a strong magnetic field and anisotropy significantly affect the quarkonium binding energies and their subsequent temperature-dependent behaviors. The anisotropic parameter, ξ, plays a pivotal role in altering the quarkonia properties in non-equilibrium conditions, a common scenario in heavy-ion collisions such as those occurring at RHIC and LHC. Through scrutinizing the anisotropic influence, the paper contributes to the understanding of momentum anisotropy's effects on QQ̄ states, providing insights into potential experimental observations at colliders.

Researchers have employed a potential model approach to explore the quarkonium behaviors through the Schrödinger equation framework, revealing a more attractive potential in anisotropic mediums compared to isotropic conditions, reflecting a significant theoretical insight. Furthermore, numerical analyses demonstrate the anisotropy-induced alterations not only in binding energies but also in dissociation temperatures, with S-wave quarkonium states like J/ψ and Υ presenting higher dissociation temperatures in oblate anisotropy compared to isotropic scenarios, emphasizing the magnitude of the effect.

The theoretical implications of these results extend to potential insights into quark-gluon-plasma dynamics and the thermalization processes following the big bang, where such anisotropic conditions were likely prevalent. Practically, this paper aids in refining predictions of quarkonium behavior in strong magnetic fields observed during non-central heavy-ion collisions. As for future directions, further exploration of anisotropic effects across different conditions and comparative studies against newer experimental observations could provide deeper understanding and validation of current models.

This exploration enriches the existing literature by detailing the nuanced interactions between anisotropy, magnetic fields, and quarkonium properties, thereby offering a refined lens through which to view heavy quark states in high-energy physics environments. Future work could pivot towards leveraging these findings to adjust theoretical models in alignment with forthcoming data from ongoing collider experiments.