\ \ 980^*$             $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1201$              $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 463$              $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1350$         $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 19\ \ \ \ $

In this paper we use the two parameter sets of Table I, which differ only in the choice of the $4q$ coupling $G$ and the $8q$ strength $g_1$. Set (b) is the same as in [@Osipov:2008] (there was a misprint in the value for the constituent strange quark mass, which we corrected). Tables II-III display the numerical fits at $T=\mu=0$ (input is denoted by a \*). The only difference in the observables of the two sets occurs in the singlet-octet flavor mixing channel of the scalars, mainly in the $\sigma$-meson (i.e. $f_0(600)$) mass. The model parameters are kept unchanged in the calculation of the $T$ and $\mu$ dependent solutions of the gap equations (see next sections).

It is worthwhile to stress that 