Dissociation of heavy quarkonia in a weak magnetic field

Abstract

We examined the effects of the weak magnetic field on the dissociation of heavy quarkonia immersed in a thermal medium of quarks and gluons. For that purpose, we have revisited the general structure of gluon self-energy tensor in the presence of a weak magnetic field in thermal medium and obtained the relevant structure functions. The structure functions give the real and imaginary parts of the resummed gluon propagator, which further give the respective dielectric permittivities. The real and imaginary parts of the dielectric permittivity will be used to evaluate the real and imaginary parts of the complex heavy quark potential. The real-part of the potential is found to be more screened, whereas the magnitude of the imaginary-part of the potential gets increased on increasing the value of both temperature and magnetic field. In addition to this, we have observed that the real-part gets slightly more screened while the imaginary part gets increased in the presence of a weak magnetic field as compared to their counterparts in the absence of a magnetic field. The increase in the screening of the real-part of the potential leads to the decrease of binding energies of $J/\Psi$ and ${\rm Y}$, whereas the increase in the magnitude of the imaginary part leads to the increase of thermal width with the temperature and magnetic field both. Also the binding energy and thermal width in the presence of weak magnetic field become smaller and larger, respectively, as compared to that in the pure thermal case. We have finally obtained the dissociation temperatures for $J/\Psi$ and ${\rm Y}$, which become slightly lower in the presence of weak magnetic field. This observation leads to the slightly early dissociation of quarkonia because of the presence of a weak magnetic field.

36 pages, 9 figures, Accepted for publication in Phys. Rev. D

References in corpus (12)

• The Chiral Magnetic Effect
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Color Screening Melts Quarkonium
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Magnetic field effects on the static quark potential at zero and finite temperature
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• Potential models and lattice correlators for quarkonia at finite temperature
• HQ Collisional energy loss in a magnetized medium
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD
• Momentum broadening of heavy quark in a magnetized thermal QCD medium
• Magnetic field-induced anisotropic interaction in heavy quark bound states

Cited by in corpus (19)

• A review of quarkonia under strong magnetic fields
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Phenomenological study of quarkonium suppression and the impact of the energy gap between singlets and octets
• Gluon polarization tensor and dispersion relation in a weakly magnetized medium
• Anisotropic tomography of heavy quark dissociation by using general propagator structure at finite magnetic field
• Thermoelectric response of a weakly magnetized thermal QCD medium
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• Quantum color screening in external magnetic field
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• Magnetic field induced hair structure in charmonium gluon-dissociation
• Collective modes of gluons in an anisotropic thermo-magnetic medium
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma
• Quarkonium spectra with magnetically induced anisotropic confinement