New extended Skyrme interaction for nuclear properties and nuclear reactions

The extended Skyrme interaction involving additional momentum- and density-dependent terms is adopted to uniformly describe the properties of nuclear matter and finite nuclei, as well as the nuclear reaction properties. A new set of extended Skyrme interaction parameters is constructed by simultaneously fitting the properties of nuclear matter and the experimental data of finite nuclei and neutron-nucleus scattering observables. These data include the binding energies and charge rms radii of some spherical even-even nuclei, the total cross sections, nonelastic cross sections, elastic-scattering angular distributions, and analyzing powers. Compared with the existing Skyrme interactions, the obtained extended Skyrme interaction has a significantly improvement in the agreement with corresponding experimental data, together with some additional constraints on nuclear matter.

Figure 1

Calculated the relative deviations of charge radii (upper panel) and energies per nucleon (lower panel) using SkC17, SkC, and GS2 for the selected nuclei.

Figure 2

Comparison of the neutron single-particle energy levels near the Fermi surface calculated using various Skyrme interactions with the experimental data [2] for ${}^{208}\mathrm{Pb}$.

Figure 3

Same as Fig. 2, but of proton single-particle energy levels [2].

Figure 4

Comparison of the total cross sections calculated using SkC17, SkC, GS2, and SkOP4 with experimental data (shaded area) [31, 32] for ${}^{56}\mathrm{Fe}$.

Figure 5

Comparison of the total cross sections calculated using SkC17, SkC, GS2, and SkOP4 with experimental data (shaded area) [33, 34, 35, 36, 37] for ${}^{208}\mathrm{Pb}$.

Figure 6

Comparison of the nonelastic cross sections calculated using SkC17, SkC, GS2, and SkOP4 with experimental data (symbols) [38, 39, 40, 41] for ${}^{56}\mathrm{Fe}$.

Figure 7

Comparison of the nonelastic cross sections calculated using SkC17, SkC, GS2, and SkOP4 with experimental data (symbols) [38, 40, 41, 42, 43, 44, 45, 46] for ${}^{208}\mathrm{Pb}$.

Figure 8

Comparison of the elastic-scattering angular distributions with experimental data (symbols) [47, 48, 49, 50, 51, 52] at incident neutron energies of 11.0 MeV. The results are respectively calculated by Skyrme interaction parameter SkC17, SkC, GS2, and SkOP4, which are offset by factors of 10.

Figure 9

Same as Fig. 8, but with incident energies 65.0 MeV [53, 54].

Figure 10

Comparison of the elastic-scattering angular distributions calculated using SkC17 with experimental data (symbols) [47, 55, 56, 57, 58, 59, 60] for ${}^{56}\mathrm{Fe}$. The results are offset by factors of 10.

Figure 11

Same as Fig. 10, but for ${}^{100}\mathrm{Mo}$ [52, 61, 62, 63, 64].

Figure 12

Same as Fig. 10, but for ${}^{208}\mathrm{Pb}$ [51, 55, 65, 66, 67, 68, 69, 70, 71, 72].

Figure 13

Comparison of the analyzing powers calculated using SkC17 with experimental data (symbols) [67, 69, 70, 73, 74, 75] for ${}^{54}\mathrm{Fe}, {}^{89}\mathrm{Y}$, and ${}^{208}\mathrm{Pb}$. The curves and data points at the bottom represent true values, while the others are added by 2.0.

Figure 14

Comparison of the elastic-scattering angular distributions predicted using SkC17 with experimental data (symbols) [53, 72, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87] for ${}^{12}\mathrm{C}$. The results are offset by factors of 10.

Figure 15

Same as Fig. 14, but for ${}^{238}\mathrm{U}$ [88].

Figure 16

Same as Fig. 14, but for ${}^{181}\mathrm{Ta}$ [50, 89, 90, 91, 92, 93, 94, 95].