Abstract
We employ the transport model coupled with hydrodynamic equations to study the charmonium dissociation and regeneration in the quark-gluon plasma (QGP) with the large baryon chemical potential in Au-Au collisions at the energies of $\sqrt{{s}_{NN}}=$ 39, 14.5, and 7.7 GeV. The baryon chemical potential ${\ensuremath{\mu}}_{B}$ is encoded in both Debye mass characterizing the heavy-quark potential and also the equation of state of the bulk medium. After considering ${\ensuremath{\mu}}_{B}$ corrections in both heavy quarkonium and the QGP medium, we calculate the nuclear modification factor ${R}_{AA}$ of charmonium. We find the ${\ensuremath{\mu}}_{B}$ influence on charmonium production at $\sqrt{{s}_{NN}}$ = 39 and 14.5 GeV is negligible, while the ${R}_{AA}$ of charmonium is reduced considering ${\ensuremath{\mu}}_{B}$ influence at $\sqrt{{s}_{NN}}=7.7$ GeV Au-Au collisions, which is crucial for studying charmonium production in low energy and also fixed-target heavy-ion collisions.
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