  We present a holographic bottom up model for the thermal behavior of $ c \bar
c$ vector mesons in a finite temperature and density plasma. There is a clear
physical interpretation for the three imput energy parameters of the model. Two
of them are related to the mass spectrum of the heavy meson. Namely the quark
mass and the string tension of the quark anti-quark interaction. The third
parameter is a large energy scale associated with the non-hadronic meson decay.
In such a process the heavy meson is transformed into a much lighter state by
electroweak processes. The corresponding transition amplitude is assumed to
depend on the enegy scale associated with this large mass variation. With this
three parameter model one can fit the masses and decay constants of $ J / \Psi
$ and three radial excitations with an rms error of 20.7 %. Using the geometry
of a charged black hole, one finds the spectral function for charmonium states
inside a plasma at finite temperature and density. The charmonium dissociation
in the medium is represented by the decrease in the height of the spectral
function peaks.
