Deformed-quasiparticle basis for calculating potential energy surfaces and nuclear spectra

The Nilsson model is combined with the Hill-Wheeler definition of nuclear deformations and with the stationarity condition of Yariv et al. to calculate a new deformed basis. The wave functions of this basis are the same for neutrons and for protons, and for all mass numbers. The energy levels depend on $Z$, $A$ via an isospin-$A$-dependent scaling factor. This basis is combined with an improved theory of pairing to calculate a new deformed-quasiparticle basis. It is shown that without any adjustment of the model parameters from one nucleus to another, this basis leads to reasonable potential energy surgaces for many even-even nuclei (Mg,Zr,Sm,Er,Os,Hg), and reasonable low energy spectra of ${}_{12}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{40}{}^{102}{}_{}{}^{}\mathrm{Zr}$, and ${}_{68}{}^{168}{}_{}{}^{}\mathrm{Er}$. The Strutinsky method is used to calculate the potential energy surfaces. A modified Kumar-Baranger method is used to calculate the moments of inertia and the mass parameters, and to solve the collective Schrödinger equation.