Heavy quark dynamics for charm and bottom flavor on Fermi surface at zero temperature

Abstract

We discuss the dynamics in finite density medium including a heavy impurity particle (hadron or quark) with a heavy flavor, charm and bottom, at zero temperature. As a system, we consider a $\bar{D}$ ($B$) meson embedded in nuclear matter as a heavy impurity boson with SU(2) isospin symmetry. As another system, we also consider a charm (bottom) quark embedded in quark matter as a heavy impurity fermion with SU(3) color symmetry. We suppose a vector current interaction with SU($n$) symmetry ($n\ge 2$) for the fermion composing the Fermi surface and the embedded heavy impurity particle, and calculate the scattering amplitude perturbatively for the small coupling constant up to one-loop level. We obtain that the scattering amplitude has a logarithmic enhancement in the large mass limit of the heavy impurity particle, and show that the perturbative calculation breaks down for any small coupling constant in this limit.

25 pages, 2 figures

References in corpus (14)

• Heavy quarkonium: progress, puzzles, and opportunities
• Color superconductivity in dense quark matter
• Charmonium
• Multi-quark hadrons from Heavy Ion Collisions
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• Open charm in nuclear matter at finite temperature
• QCD sum rules for D and B mesons in nuclear matter
• Exotic baryons from a heavy meson and a nucleon -- Negative parity states --
• Exotic nuclei with open heavy flavor mesons
• D-mesons in asymmetric nuclear matter
• A narrow $DNN$ quasi-bound state
• $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• In-medium modification of P-wave charmonia from QCD sum rules

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