Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD

TL;DR

This paper develops a bottom-up AdS/QCD holographic model to describe heavy quarkonia, accurately matching experimental data and analyzing their thermal behavior, including melting temperatures at finite temperature.

Contribution

It introduces a unified holographic model for heavy quarkonia masses and decay constants, and provides a method to analyze their thermal spectral functions and melting points.

Findings

Accurate reproduction of charmonium and bottomonium spectra.

Identification of quasi-particle states as Breit-Wigner resonances.

Estimated melting temperatures for $J/A$ and $$ at finite temperature.

Abstract

S-wave states of charmonium and bottomonium are described using bottom-up AdS/QCD. We propose a holographic model that unifies the description of masses and decay constants, leading to a precise match with experimental data on heavy quarkonia. Finite temperature effects are considered by calculating the current-current spectral functions of heavy vector mesons. The identification of quasi-particle states as Breit-Wigner resonances in the holographic spectral function was made. We develop a prescription to subtract background contributions from the spectral function to isolate the Breit-Wigner peak. The quasi-particle holographic thermal evolution is described, allowing us to estimate the melting temperature for vector charmonia and bottomonia. Our holographic model predicts that $J/\Psi$ melts at $415$ MeV $(\sim 2.92 ~T_c)$ and $\Upsilon$ melts at $465$ MeV $(\sim 3.27~ T_c)$)