Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density

Abstract

The shrinking of the bottomonium spectral function towards narrow quasi-particle states in a cooling strong-interaction medium at finite baryon density is followed within a holographic bottomup model. The 5-dimensional Einstein-dilaton-Maxwell background is adjusted to lattice-QCD results of sound velocity and susceptibilities. The zero-temperature bottomonium spectral function is adjusted to experimental Υ ground-state mass and first radial excitations. At baryo-chemical potential µ B = 0, these two pillars let emerge the narrow quasi-particle state of the Υ ground state at a temperature of about 150 MeV. Excited states are consecutively formed at lower temperatures by about 10 (20) MeV for the 2S (3S) vector states. The baryon density, i.e. µ B > 0, pulls that formation pattern to lower temperatures. At µ B = 200 MeV, we find a shift by about 15 MeV.

Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields

“…So that, it is crucial to have a nice fit for these quantities in order to describe quarkonium in a thermal medium [39]. For other approaches to the holographic description of bottomonium see, for example [43,44].…”