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arXiv · 2101.06212

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

Miguel Angel Martin Contreras·Saulo Diles·Alfredo Vega
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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 $(\sim 3.27~ T_c)$)

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Miguel Angel Martin Contreras, Saulo Diles, Alfredo Vega. 2021-01-15. Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD. https://doi.org/10.1103/physrevd.103.086008

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