Mass shift of charmonium states in $\bar{p}A$ collision

Abstract

The masses of the low lying charmonium states, namely, the $J/\Psi$, $\Psi (3686)$, and $\Psi (3770)$ are shifted downwards due to the second order Stark effect. In $\bar{p}+\text{Au}$ collisions at $6-10$ GeV we study their in\,-\,medium propagation. The time evolution of the spectral functions of these charmonium states is studied with a Boltzmann\,-\,Uehling\,-\,Uhlenbeck (BUU) type transport model. We show that their in\,-\,medium mass shift can be observed in the dilepton spectrum. Therefore, by observing the dileptonic decay channel of these low lying charmonium states, especially for $\Psi (3686)$, we can gain information about the magnitude of the gluon condensate in nuclear matter. This measurement could be performed at the upcoming PANDA experiment at FAIR.

12 pages, 5 figures

References in corpus (3)

• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Charmonium dynamics in nucleus-nucleus collisions at SPS and FAIR energies
• A statistical method to estimate low-energy hadronic cross sections

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• Studying the in-medium $\varphi$ meson spectrum through kaons in proton-nucleus reactions
• Charmed and bottomed hadronic cross sections from a statistical model
• Hypernuclei production with a modified coalescence model in BUU transport calculations