Abstract
In heavy ion collisions after the quark-gluon plasma there is a hadronic gas phase. Using effective Lagrangians we study the interactions of charmed mesons which lead to $J/\psi$ production and absorption in this gas. We update and extend previous calculations introducing strange meson interactions and also including the interactions mediated by the recently measured exotic charmonium resonances $Z(3900)$ and $Z(4025)$. These resonances open new reaction channels for the $J/\psi$, which could potentially lead to changes in its multiplicity. We compute the $J/\psi$ production cross section in processes such as $D_{(s)}^{(*)} + \bar{D}^{(*)} \to J/\psi + (\pi, \rho, K, K^{\ast})$ and also the $J/\psi$ absorption cross section in the corresponding inverse processes. Using the obtained cross sections as input to solve the rate equation, we conclude that the interactions in the hadron gas phase do not significantly affect the $J/\Psi$ abundance. In other words, there is neither a charmonium suppression nor charmonium regeneration from light mesons in the hadronic phase.
Highlights
Precise measurements of the J /ψ multiplicity in heavy-ion collisions are an important source of information about the properties of the quark-gluon plasma phase (QGP) [1]
In the context of the present work, a natural question is the following: What is the impact of the reaction J /ψ + π → Zc → D + D ∗ on the results found in the previous section? In order to estimate the influence of the Zc(3900) on such reactions, we consider the process of the absorption of J /ψ for a particular total electric charge, which can be 0, +1, or −1
This result is very interesting for the physics of the quark gluon plasma, since J /ψ production will be mostly determined by the QGP dynamics
Summary
Precise measurements of the J /ψ multiplicity in heavy-ion collisions are an important source of information about the properties of the quark-gluon plasma phase (QGP) [1]. The J /ψ interactions have already been investigated with field theory models [2,3,4,5], quark models [6], QCD sum rules [7], and other approaches [8,9,10] Most of these papers are more than ten years old and they focus on J /ψ suppression, which had been considered a signature of the quark-gluon plasma. After the observation of an “unsuppression” at the Large Hadron Collider (LHC), the focus started to be the confirmation of the enhancement of the J /ψ yield, which became one of the new signatures of the QGP dynamics
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