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Directed Flow of D and B Mesons in an Electrically and Chirally Conductive QGP at LHC Energies

Ankit Kumar Panda, Pooja, Maria Lucia Sambataro, Salvatore Plumari, Santosh K. Das

Abstract

We investigate the directed flow of D and B mesons in the presence of electromagnetic fields incorporating finite electrical and chiral conductivities at LHC energies. The momentum evolution of heavy quarks in the quark-gluon plasma (QGP) is studied using Langevin dynamics, with their interactions with the medium described within the extended quasiparticle model (QPMp) framework. The electromagnetic fields are obtained from analytical solutions of Maxwell equations that account for both electrical and chiral conductivities. These conductivities modify the space-time evolution of the electromagnetic fields and influence the splitting of the directed flow between mesons and anti-mesons. However, the influence of chiral conductivity remains secondary to that of electrical conductivity and its impact on the directed flow is marginal. The results show that heavy mesons containing a charm quark develop a directed flow with a sign opposite to that of heavy mesons containing a bottom quark, with a smaller magnitude for the latter. The present study indicates that a simultaneous experimental measurement of v1 for heavy mesons containing both charm and bottom quarks would provide valuable insight into the electromagnetic field origin of v1 for heavy quarks.

Directed Flow of D and B Mesons in an Electrically and Chirally Conductive QGP at LHC Energies

Abstract

We investigate the directed flow of D and B mesons in the presence of electromagnetic fields incorporating finite electrical and chiral conductivities at LHC energies. The momentum evolution of heavy quarks in the quark-gluon plasma (QGP) is studied using Langevin dynamics, with their interactions with the medium described within the extended quasiparticle model (QPMp) framework. The electromagnetic fields are obtained from analytical solutions of Maxwell equations that account for both electrical and chiral conductivities. These conductivities modify the space-time evolution of the electromagnetic fields and influence the splitting of the directed flow between mesons and anti-mesons. However, the influence of chiral conductivity remains secondary to that of electrical conductivity and its impact on the directed flow is marginal. The results show that heavy mesons containing a charm quark develop a directed flow with a sign opposite to that of heavy mesons containing a bottom quark, with a smaller magnitude for the latter. The present study indicates that a simultaneous experimental measurement of v1 for heavy mesons containing both charm and bottom quarks would provide valuable insight into the electromagnetic field origin of v1 for heavy quarks.
Paper Structure (6 sections, 1 equation, 5 figures)

This paper contains 6 sections, 1 equation, 5 figures.

Table of Contents

  1. Introduction
  2. Electromagnetic field configurations
  3. Langevin equation
  4. Results
  5. Summary and conclusions
  6. Acknowledgment

Figures (5)

  • Figure 1: Snapshot of all electromagnetic field components at $t = 0.17$ fm for the case including both electrical and chiral conductivity, shown for $b = 9$ fm and $\sqrt{s_{\text{NN}}} = 2.76$ TeV at $\eta = 0$.
  • Figure 2: Rapidity dependence of directed flow of $\text{D}$ and $\bar{\text{D}}$ mesons with (dashed) and without (solid) chiral conductivity.
  • Figure 3: Rapidity dependence of $\Delta v_1$ ($v_1(\text{D})-v_1(\bar{\text{D}})$) for $\text{D}$ mesons with (dashed) and without (solid) the chiral conductivity.
  • Figure 4: Rapidity dependence of directed flow of $\text{B}$ and $\bar{\text{B}}$ mesons with (dashed) and without (solid) chiral conductivity.
  • Figure 5: Rapidity dependence of $\Delta v_1$ ($v_1(\bar{\text{B}})$- $v_1(\text{B}$)) for $\text{B}$ mesons with (dashed) and without (solid lines) the chiral conductivity.