Exact mean-field solution of the two-particle resonance model of high-Tcsuperconductivity

The mean-field theory of the two-particle resonance model of high-$T_c$ superconductivity is reexamined and solved exactly. The dependence of $T_c$ on ($\frac{m^{*}}{m}$) is dramatic $T_c\to 0$ at $\left(\frac{m^{*}}{m}\right)=1\mathrm{}$, and $\left(\frac{m^{*}}{m}\right)\to \infty$ the heavy-fermion limit peaking at $\left(\frac{m^{*}}{m}\right)\cong 5$. The gap-to-$T_c$ ratio, $H_c\mathrm{}\left(0\right)\mathrm{}$, and specific-heat jump at $T_c$, $\Delta C_v$, have BCS values for all $\frac{m^{*}}{m}$. $T_c$ is a linear function of hole concentration.