Momentum broadening of heavy quark in a magnetized thermal QCD medium (original) (raw)
Related papers
Heavy quark dynamics in a hot magnetized QCD medium
Physical Review D, 2019
The heavy quark drag and momentum diffusion have been investigated in a hot magnetized quark-gluon plasma, along the directions parallel and perpendicular to the magnetic field. The analysis is done within the framework of Fokker-Planck dynamics by considering the heavy quark scattering with thermal quarks and gluons at the leading order in the coupling constant. An extended quasiparticle model is adopted to encode the thermal QCD medium interactions in the presence of a magnetic field. Further, the higher Landau level effects on the temperature behaviour of the parallel and perpendicular components of the drag force and diffusion coefficients have studied. It has been observed that both the equation of state and the magnetic field play key roles in the temperature dependence of the heavy quark dynamics.
Physical Review D, 2020
The effects of longitudinal bulk viscous pressure on the heavy quark dynamics have been estimated in a strongly magnetized quark-gluon plasma within the Fokker-Planck approach. The bulk viscous modification to the momentum distribution of bulk degrees of freedom has been obtained in the presence of a magnetic field while incorporating the realistic equation of state of the hot magnetized QCD medium. As the magnetic field breaks the isotropy of the medium, the analysis is done along the directions longitudinal and transverse to the field. The longitudinal bulk viscous contribution is seen to have sizable effects in the heavy quark momentum diffusion in the magnetized medium. The dependence of higher Landau levels and the equation of state on the viscous correction to the heavy quark transport has been explored in the analysis.
Dynamics of open heavy flavour in a weakly magnetized thermal QCD medium
arXiv (Cornell University), 2023
We calculate the momentum diffusion coefficients and energy loss of a heavy quark (HQ) traversing through the quark-gluon plasma in the presence of a weak magnetic field, upto leading order in the strong coupling αs. t channel Coulomb scatterings of the HQ with the thermal quarks and gluons are considered, whereas Compton scatterings and gluon radiation are neglected. The scale hierarchy considered in this work is MQ ≫ T ≫ eB/T. The calculations are carried out ina perturbative framework where the interaction rate Γ is calculated from the imaginary part of the HQ self energy. We find that the longitudinal and transverse momentum diffusion coefficients of the HQ decrease with temperature, whereas the energy loss increases with temperature. Variation with both the temperature and magnetic field is amplified for the Charm quark in comparison to bottom quark, due to the lighter mass of the former. We also find that the extent of anisotropy in the momentum diffusion coefficient depends strongly on the current mass of the HQ, with a lighter mass leading to a greater anisotropy.
Spatial diffusion of heavy quarks in background magnetic field
arXiv (Cornell University), 2022
The ratio of shear viscosity to entropy density shows a valley-shaped pattern well-known in the community of heavy-ion physics. Diffusion coefficients of heavy quark and meson shows the similar structure, and both sketches have become quite popular in the community. Present work has attempted a finite magnetic field extension of the diffusion coefficients of heavy quark and meson. Using Einstein's diffusion relation, we calculated heavy quark and heavy meson diffusion by the ratio of conductivity to susceptibility in the kinetic theory framework of relaxation time approximation. The relaxation time of heavy quark and meson are tuned from the knowledge of earlier works on spatial diffusion estimations, and then we have extended the framework for a finite magnetic field, where our outcomes have revealed two aspects-anisotropic and quantum aspects of diffusion with future possibilities of phenomenological signature.
Drag and diffusion of heavy quarks in a hot and anisotropic QCD medium
The European Physical Journal A
The propagation of heavy quarks (HQs) in a medium was quite often modeled by the Fokker-Plank (FP) equation. Since the transport coefficients, related to drag and diffusion processes are the main ingredients in the FP equation, the evolution of HQs is thus effectively controlled by them. At the initial stage of the relativistic heavy ion collisions, asymptotic weak-coupling causes the free-streaming motions of partons in the beam direction and the expansion in transverse directions are almost frozen, hence an anisotropy in the momentum space sets in. Since HQs are too produced in the same time therefore the study of the effect of momentum anisotropy on the drag and diffusion coefficients becomes advertently desirable. In this article we have thus studied the drag and diffusion of HQs in the anisotropic medium and found that the presence of the anisotropy reduces both drag and diffusion coefficients. In addition, the anisotropy introduces an angular dependence to both the drag and diffusion coefficients, as a result both coefficients get inflated when the partons are moving transverse to the direction of anisotropy than parallel to the direction of anisotropy.
Effect of magnetic screening mass on the diffusion of heavy quarks
International Journal of Modern Physics E
The drag and diffusion coefficients of heavy quarks propagating through quark–gluon plasma (QGP) have been estimated by shielding the infra-red divergences using electric and magnetic screening masses. The electric-type screening in perturbative quantum chromodynamics (pQCD) has been widely studied and used in evaluating the diffusion coefficient of heavy quarks (HQs). The impact of magnetic screening on diffusion coefficients of HQs is not studied before to the best of our knowledge. We explore the effect of magnetic screening mass on the drag and diffusion coefficients of HQs and found it to be non-negligible. Therefore, the effect of magnetic screening should be taken into consideration to characterize hot and dense matter formed in the collisions of nuclei at ultra-relativistic energies. We estimate the suppression of heavy flavored mesons in heavy ion collisions compared to proton+proton collisions at high transverse momenta and found that the suppression is less with the inclu...
Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
Physical Review Letters, 2008
Heavy quarks (charm and bottom) are valuable probes of the hot and dense matter produced in ultrarelativistic heavy-ion collisions: they are produced in initial hard nucleon-nucleon collisions and subsequently interact with the medium consisting of light quarks and gluons. Data on light hadron spectra in 200 AGeV Au-Au collisions at the Relativistic Heavy-Ion Collider (RHIC) have shown that the produced partonic medium can be described by ideal hydrodynamics, suggestive for a strongly interacting quark-gluon plasma (sQGP) : after the collision the medium appears to equilibrate rapidly building up pressure which is associated with the observed collective flow of hadrons. Heavy quarks, due to their large mass, m Q >>T c (T c ≈180 MeV: critical temperature), are particularly sensitive to the microscopic interaction mechanisms underlying the apparent rapid thermalization. At RHIC the measurement of transverse-momentum (p t ) spectra and elliptic flow, v 2 , of non-photonic electrons [3,4] -originating from the decay of open-charm (D) and -bottom mesons (B) -have lead to the conclusion that heavy quarks interact surprisingly strongly with the medium, largely inheriting its collective-flow pattern via the corresponding drag within the medium. These observations indicate large momentum-diffusion coefficients which can not be accounted for in perturbative QCD (pQCD).
An estimate of heavy quark momentum diffusion coefficient in gluon plasma
Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)
We calculate the momentum diffusion coefficient for heavy quarks in SU(3) gluon plasma at temperatures 1-2 times the deconfinement temperature. The momentum diffusion coefficient is extracted from a Monte Carlo calculation of the correlation function of color electric fields, in the leading order of expansion in heavy quark mass. Systematics of the calculation are examined, and compared with perturbtion theory and other estimates.
Exploring Hot Quark Matter in Strong Magnetic Fields
International Journal of Modern Physics: Conference Series
Considering LQCD results for the quark condensates we determine the thermomagnetic dependence of NJL model coupling and then study the thermodynamical properties of hot magnetized quark matter.
arXiv (Cornell University), 2019
We have attempted to build a parametric based simplified and analytical model to map the interaction of quarks and gluons in presence of magnetic field, which has been constrained by quark condensate and thermodynamical quantities like pressure, energy density etc., obtained from the calculation of lattice quantum chromodynamics. To fulfill that mapping, we have assumed a parametric temperature and magnetic field dependent degeneracy factor, average energy, momentum and velocity of quarks and gluons. Implementing this QCD interaction in calculation of transport coefficient at finite magnetic field, we have noticed that magnetic field and interaction both are two dominating sources, for which the values of transport coefficients can be reduced. Though the methodology is not so robust, but with the help of its simple parametric expressions, one can get a quick rough estimation of any phenomenological quantity, influenced by temperature and magnetic field dependent QCD interaction.