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 bottom-up 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 ${\rm Y}$ ground-state mass and first radial excitations. At baryo-chemical potential ${\mu }_B=0$, these two pillars let emerge the narrow quasi-particle state of the ${\rm Y}$ 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. ${\mu }_B>0$, pulls that formation pattern to lower temperatures. At ${\mu }_B=$ 200 MeV, we find a shift by about 15 MeV.

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