Heavy quark complex potential in a strongly magnetized hot QGP medium

Abstract

We study the effect of a strong constant magnetic field, generated in relativistic heavy ion collisions, on the heavy quark complex potential. We work in the strong magnetic field limit with the lowest Landau level approximation. We find that the screening of the real part of the potential increases with the increase in the magnetic field. Therefore, we expect less binding of the QQ pair in the presence of a strong magnetic field. The imaginary part of the potential increases in magnitude with the increase in magnetic field, leading to an increase of the width of the quarkonium state with the magnetic field. All of these effects result in the early dissociation of QQ states in a magnetized hot quark-gluon plasma medium.

Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory

“…Our fermionic part of Debye mass is different from Ref [52]. by a factor of 2 which was somehow overlooked by the authors of the Ref [52]. in Matsurbara Sum.…”

“…The presence of an external anisotropic field in the medium calls for the appropriate modification of the present theoretical tools to investigate various properties of QGP and a numerous activity is in progress. Over the last few years, several novel phenomena came into light, e.g, chiral magnetic effect [14][15][16], magnetic catalysis [17][18][19] and inverse magnetic catalysis [20][21][22][23][24][25][26][27] at finite temperature; chiral-and color-symmetry broken/restoration phase [28][29][30][31][32]; thermodynamic properties [31][32][33][34][35], refractive indices and decay constant of hadrons [36][37][38][39][40] and the equation of state (EoS) in holographic models [41,42] in a hot magnetized medium; soft photon production from conformal anomaly [7,43] in HIC; modification of dispersion properties in a magnetized hot QED [44] and QCD [45][46][47][48] medium; various transport coefficients [49][50][51], properties of quarkonia [52,53], synchroton radi...…”

Hadronic Paschen–Back effect

“…Under such a situation, implementation of the potentials modified by both the temperature and the magnetic field as estimated in Refs. [24,27,28,30,31] would be important. When QGP is not produced after the collision (T < T c ), and the P-wave charmonia do not suffer from the thermal effects (or can be slightly affected by thermal hadronic matter), then we can measure almost pure HPBE.…”

“…We do not consider the B-dependence of the potentials. In fact, the anisotropy of the confinement potential in a magnetic field is indicated by phenomenological models [21][22][23][24][25][26][27][28] as well as lattice QCD simulations at zero [29] and finite temperature [30,31]. Implementation of such anisotropy on the potential model as Ref.…”

Hadronic Paschen-Back effect in P-wave charmonia under strong magnetic fields

“…2), which are fixed to fit the experimental values of 1P charmonia masses. In this work we focus on HPBE in weak magnetic fields where the deformation of the potential can be safely neglected, though correction can be given by considering the anisotropic confinement potential estimated from the phenomenological models [17][18][19][20][21][22][23][24] as well as lattice QCD simulations at zero 25 and finite temperature. 26 Such anisotropy can be confirmed also by other observables such as the screening masses 27 and flux tubes.…”