Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals

We present a new Hartree-Fock-Bogoliubov nuclear mass model based on standard forms of Skyrme and pairing functionals, which corresponds to the most accurate mass model we ever achieved within the framework of the nuclear energy density functional theory. Our new mass model is characterized by a model standard deviation ${\sigma }_{\mathrm{mod}}=0.500$ MeV with respect to essentially all the 2353 available mass data for nuclei with neutron and proton numbers larger than 8. At the same time, the underlying Skyrme functional yields a realistic description of infinite homogeneous nuclear matter properties, as determined by realistic calculations and by experiments; these include in particular the incompressibility coefficient, the pressure in charge-symmetric nuclear matter, the neutron-proton effective mass splitting, the stability against spin and spin-isospin fluctuations, as well as the neutron-matter equation of state.

Figure 1

Representation in the $(N,Z)$ plane of the difference between measured [11] and HFB-27* masses. Open squares represent stable (incuding the long-lived Th and U isotopes) nuclei.

Figure 2

Pressure as a function of density in charge-symmetric nuclear matter for the Skyrme functional BSk24 [6] and for our new Skyrme functional BSk27*. The shaded area represents the constraint inferred from the analysis of heavy-ion collisions [17, 18].

Figure 3

Zero-temperature equation of state of neutron matter as obtained with the Skyrme functional BSk24 [6] and with our new Skyrme functional BSk27*. The shaded areas represent the recent constraints of Ref. [31] (dark) and of Ref. [32] (light).

Figure 4

Differences between (a) HFB-27* and HFB-24 [6] masses and (b) HFB-27* and D1M [4] masses for all $Z,N\ge 8$, $Z\le 110$ nuclei between the proton and neutron drip lines.