Figure 1

Critical temperature as functions of (a) the total chemical potential ${\mu }_{\mathrm{total}}={\mu }_p+{\mu }_n$ and (b) the total free density $n_{\mathrm{total}}$. Thick (thin) lines are for $\alpha$ particles (deuterons). Solid, dashed, and dotted lines denote $\delta =0.0$, $\delta =0.5$, and $\delta =0.9$, respectively, where the density ratio $\delta$ is in Eq. (13).Reuse & Permissions

Figure 2

The momentum-space single-particle wave functions for proton ${\phi }_p$ (solid line) and for neutron ${\phi }_n$ (dashed line) at the critical temperature $T_c$ as function of $k$ for $\delta =0.0$, $0.5$, and $0.9$, and the real-space wave functions for proton ${\mathrm{\phi ̃}}_p$ (solid line) and for neutron ${\mathrm{\phi ̃}}_n$ (dashed line) as a function of $r$ for $\delta =0.9$ derived from the Fourier transform of ${\phi }_{p,n}(k)$ with ${\mathrm{\phi ̃}}_{p,n}(r)=\int d^3{\mathit{ke}}^{i\mathrm{k⃗}·\mathrm{r⃗}}{\phi }_{p,n}(k)/(2\pi ){}^3$. The top, middle, and bottom rows are for ${\mu }_{\mathrm{total}}={\mu }_p+{\mu }_n~-11$ MeV, $~0.0$ MeV, and $~9.0$ MeV, respectively. The wave functions are normalized by $\int d^{3}k{\phi }_{p,n}^2(k)/(2\pi ){}^3=1$. The detailed data for respective parts of the figure are as follows: (a1) $\delta =0.0$, ${\mu }_{\mathrm{total}}=-11.1$ MeV, ${\mu }_p=-5.53$ MeV, ${\mu }_n=-5.53$ MeV, $T_c=4.52$ MeV; (a2) $\delta =0.5$, ${\mu }_{\mathrm{total}}=-11.5$ MeV, ${\mu }_p=-8.18$ MeV, ${\mu }_n=-3.35$ MeV, $T_c=4.07$ MeV; (a3, a4) $\delta =0.9$, ${\mu }_{\mathrm{total}}=-11.0$ MeV, ${\mu }_p=-10.8$ MeV, ${\mu }_n=-0.163$ MeV, $T_c=3.35$ MeV; (b1) $\delta =0.0$, ${\mu }_{\mathrm{total}}=0.028$ MeV, ${\mu }_p=-0.014$ MeV, ${\mu }_n=-0.014$ MeV, $T_c=7.46$ MeV; (b2) $\delta =0.5$, ${\mu }_{\mathrm{total}}=0.11$ MeV, ${\mu }_p=-4.65$ MeV, ${\mu }_n=4.76$ MeV, $T_c=6.74$ MeV; (b3, b4) $\delta =0.9$, ${\mu }_{\mathrm{total}}=-0.02$ MeV, ${\mu }_p=-8.18$ MeV, ${\mu }_n=8.16$ MeV, $T_c=4.29$ MeV; (c1) $\delta =0.0$, ${\mu }_{\mathrm{total}}=8.80$ MeV, ${\mu }_p=4.40$ MeV, ${\mu }_n=4.40$ MeV, $T_c=8.44$ MeV; (c2) $\delta =0.5$, ${\mu }_{\mathrm{total}}=8.93$ MeV, ${\mu }_p=-1.12$ MeV, ${\mu }_n=10.0$ MeV, $T_c=7.16$ MeV; (c3, c4) $\delta =0.9$, ${\mu }_{\mathrm{total}}=8.94$ MeV, ${\mu }_p=-4.21$ MeV, ${\mu }_n=13.2$ MeV, $T_c=3.72$ MeV.Reuse & Permissions