Dependence of the ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ nuclear potential on nuclear incompressibility

Nonmonotonic (NM) nucleus-nucleus potentials from the energy-density functional (EDF) theory including the Pauli principle have been considered for the nuclear incompressibility $K$ in the range 188–266 MeV. The experimental cross sections of the ${}^{16}\text{O}+{}^{16}\text{O}$ elastic scattering over the 31–350 MeV incident energies have been analyzed in the optical model using the NM potentials. Sensitivity of $K$ on the elastic scattering data is studied and its value for infinite cold nuclear matter deduced to be $222\pm 5\mathrm{MeV}$.

Figure 1

EOSs for six $K$ values at the saturation point for symmetric infinite nuclear matter including the one from [28] with $K=188$ MeV.

Figure 2

$K$ dependence of the EDF-generated ${}^{16}\text{O}-{}^{16}\text{O}$ nuclear potential with the volume integral $J_R/256$.

Figure 3

OM predictions are compared with the ${}^{16}\text{O}+{}^{16}\text{O}$ elastic scattering data at $E_{\mathrm{lab}}=49.0$, 75.0, and 103.1 MeV. The relative performances of the EDF-derived potentials for $K=188$, 230, and 252 MeV are shown to indicate the $K$ dependence on $J_R/256$.

Figure 4

Same as Fig. 3 for the best fits at 16 energies obtained by an empirical adjustment of the OM parameters including those for the real part of the potentials.

Figure 5

Variation of $J_R/256$ with $E_x$ and the regression curves through the derived points in open circles.