$1/z_0$ is taken as having the same value for charmonium and bottomonium, representing a flavor independent factor associated with just color interaction. The parameters used in ref. [@Braga:2015jca] are: $$k_c = 1.2 GeV ; \,  k_b = 3.4 GeV ; \, 1/z_0 = 12.5 GeV,  
  \label{parameters}$$ where $ k_c$ and $k_b$ are the values of the constants $k$ used for charmonium and bottomonium, respectively. Using these 3 parameters and the relations (\[new masses\]) and (\[numerical decay\]) the masses and decay constants of the states $1S, 2S, 3S, 4S$ of charmonium and bottomonium were estimated with an rms error of $30 \% $.

In the next section we extend this model to finite temperature and then, considering the same choice of parameters of eq. (\[parameters\]) we analyze the behavior of charmonium and bottomonium $S$ wave states in a thermal plasma.

 Heavy Vector mesons at finite temperature 
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Now we extend the zero temperature model of ref. [@Braga:2015jca] to finite temperature. It is important to mention that hadronic spectra at finite temperature have been studied in the context of AdS/QCD soft wall model before, for example, in refs. [@Fujita:2009wc; @Colangelo:2009ra; @Miranda:2009uw; @Fujita:2009ca; @Mamani:2013ssa]. In particular [@Mamani:2013ssa] describes light vector mesons in the 