Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. VII. Simultaneous fits to masses and fission barriers

We present a new Hartree-Fock-Bogoliubov mass model, HFB-14, that is fitted to the fission data through adjustment of a vibrational term in the phenomenological collective correction. The rms deviation of the model from the 2149 measured masses of nuclei with $Z,N⩾8$ is 0.729 MeV. The rms deviation for all 77 primary barriers listed in the RIPL-2 data compilation is 1.31 MeV, and only 0.67 MeV for the 52 primary barriers of nuclei lower than 9 MeV, the ones of greater astrophysical interest. A similar accuracy is obtained (0.65 MeV) for the 45 secondary experimental barriers necessary for a reliable calculation of fission probabilities.

Figure 1

Deviations between model HFB-14.0 and experiment for (a) upper panel: primary barriers; (b) middle panel: secondary barriers; (c) lower panel: isomeric states.

Figure 2

Differences between model HFB-8 and HFB-14 mass predictions as a function of (left) $N$ and (right) $S_n$.

Figure 3

Differences between the FRDM and HFB-14 mass predictions as a function of (left) $N$ and (right) $S_n$.

Figure 4

$N_0=82$ shell gap as function of $Z$ for mass model HFB-14.

Figure 5

Deviations between model HFB-14 and experiment for (a) upper panel: primary barriers; (b) middle panel: secondary barriers; (c) lower panel: isomeric states.

Figure 6

Collective corrections for models HFB-14.0 (upper curve) and HFB-14 (lower curve).