Remler formalism with in-medium heavy-quark potential describes charmonium yields at SPS energies and supplies estimates for FAIR energies after calibration on p+p and p+A collisions.
$J/\psi$-Nucleon Scattering Length and In-medium Mass Shift of $J/\psi$ in QCD Sum Rule Analysis
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abstract
We calculate the spin-averaged $J/\psi$-nucleon scattering length $a_{J/\psi}$ by directly applying QCD sum rule to $J/\psi$-$N$ forward scattering amplitude. Our result $a_{J/\psi} = - 0.10 \pm 0.02$ fm, predicts the possibility of bound states with nuclei, though the force is weaker than that of the light vector mesons ($\rho,\omega,\phi$)-$N$ cases. Up to dimension-4 gluonic operators, we evaluate the scattering length with twist-2 contribution, which increases the absolute value of the scattering length about 30%. If we apply $a_{J/\psi}$ to the effective mass of $J/\psi$ in nuclear matter on the basis of the linear density approximation, it shows very slight decrease ($4 \sim 7$ MeV) at normal matter density.
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Charmonium production at SPS and FAIR energies
Remler formalism with in-medium heavy-quark potential describes charmonium yields at SPS energies and supplies estimates for FAIR energies after calibration on p+p and p+A collisions.