Narrow Results

In this paper, we employed the quasi-particle (QP) Debye mass at finite baryonic chemical potential which can be used in the medium modified heavy quark potential to solve the $N$-dimensional Schrödinger equation. The bound state solution of the Schrödinger equation using Cornell potential been obtained by Super-Symmetry Quantum Mechanics (SUSYQM) method. The thermodynamical properties of quark matter are calculated by using baryonic chemical potential ($\mu$). We found that the binding energy of quarkonia dissociates more with QP Debye mass in comparison to nonperturbative and leading order Debye mass. The medium modified form of potential (real part) has been used to study the thermodynamical properties of quark matter with different equation of states (EoSs) (i.e. pressure, energy density and speed of sound) with $\mu$. The mass spectra of quarkonia have been also calculated in the $N$-dimensional space and compared with the experimental data at $N=3$. We have also calculated the dissociation temperature ($T_D$) for the ground states of quarkonium using the dissociation criteria of thermal width.

This research study primarily will focus on investigating how the topological effects influence the eigenvalue solutions in the presence of a hot-dense medium. To accomplish this, we employ the non-relativistic Schrödinger wave equation by taking into consideration both the quantum flux field and interaction potential. Through this approach, we determine the energy eigenvalues and their corresponding wave functions using the Nikiforov–Uvarov method. Our findings indicate that when we consider both the topological effects and the magnetic flux, $\mathrm{\Phi }$, there is a noticeable reduction in the binding energy within the hot-dense medium. Additionally, we analyze the role of the baryonic potential in shaping the binding energy within the $(T,u_b)$ plane. Interestingly, it is evident that the influence of the baryonic potential becomes more pronounced as its values decrease.