Mass and isotope dependence of limiting temperatures for hot nuclei

The mass and isotope dependence of limiting temperatures for hot nuclei are investigated. The predicted mass dependence of limiting temperatures is in good agreement with data derived from the caloric curve data. The predicted isotope distribution of limiting temperatures appears to be a parabolic shape and its centroid is not located at the isotope on the $\beta$-stability line $\left(T=0\right)$ but at neutron-rich side. Our study shows that the mass and isotope dependence of limiting temperatures depend on the interaction and the form of surface tension and its isospin dependence sensitively.

Figure 1

The isothermal curves of the chemical potential calculated with SLy7 for the following: (left) protons with bulk part only, (center) neutrons, and (right) protons with bulk part adding the Coulomb term of a hot ${}^{208}\mathrm{Pb}$ nucleus.

Figure 2

The isothermal curves of pressure. The bulk part is calculated with SLy7. The Coulomb and the surface tension part are of a hot ${}^{208}\mathrm{Pb}$ nucleus.

Figure 3

The isothermal curve of pressure at $T=5\text{MeV}$ calculated with SLy7, ${\text{SkM}}^{*}$, and SIII, respectively. The Coulomb and surface tension term is corresponding to a hot ${}^{208}\mathrm{Pb}$ nucleus.

Figure 4

The comparison of the pressure $P$ at $T=5\text{MeV}$ for three cases, namely, without surface tension, with Surf1 and Surf2. The surface tension term is corresponding to a hot ${}^{208}\mathrm{Pb}$ nucleus.

Figure 5

The mass dependence of the limiting temperatures calculated with Skyrme interaction SLy7 and surface tension Surf1 and Surf2, respectively.

Figure 6

The same as Fig. 6 but with ${\text{SkM}}^{*}$.

Figure 7

The same as Fig. 6 but with SIII.

Figure 8

Isotope distributions of the limiting temperatures for O, Ca, and Zr.

Figure 9

Isotope distributions of the equilibrium values of the isospin asymmetry of vapor at limiting temperature for O, Ca, and Zr, respectively.

Figure 10

Isotope distribution of the limiting temperatures for Zr calculated with SLy7 and ${\text{SkM}}^{*}$, respectively.

Figure 11

The isotope distribution of limiting temperatures of hot nuclei C and O calculated with and without symmetry-surface term taken into account, respectively.