Hartree-Fock calculations with the SKX Skyrme interaction are carried out to obtain a-decay Q values for deformed nuclei above Pb assuming axial symmetry. The results for even-even nuclei are compared with the experiment and with the previous calculations. Predictions are made for a-decay Q values and half-lives of even-even superheavy nuclei. The results are also compared for the recently disc...

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This article concerns the time-dependent Hartree-Fock (TDHF) approximation of single-particle dynamics in systems of interacting fermions. We find that the TDHF approximation is accurate when there are sufficiently many particles and the initial manyparticle state is any Gibbs equilibrium state for noninteracting fermions (with Slater determinants as a special example). Assuming a bounded two-p...

We study the renormalization problem for the Hartree–Fock approximation of the O(N)−invariant φ model in the symmetric phase and show how to systematically improve the corresponding diagrammatic resummation to achieve the correct renormalization properties of the effective field equations, including Renormalization–Group invariance with the one–loop beta function. These new Hartree–Fock dynamic...

The renormalization of a gapless Φ-derivable Hartree–Fock approximation to the O(N)-symmetric λφ theory is considered in the spontaneously broken phase. This kind of approach was proposed by three of us in a previous paper [1] in order to preserve all the desirable features of Φ-derivable DysonSchwinger resummation schemes (i.e., validity of conservation laws and thermodynamic consistency) whil...

Superdeformed states in light N = Z nuclei are studied by means of the self-consistent cranking calculation (i.e., the P+QQ model based on the cranked Hartree-Fock-Bogoliubov method). Analyses are given for two typical cases of superdeformed bands in the A 40 mass region, that is, bands where backbending is absent (40Ca) or present (36Ar). Investigations are carried out particularly for the fol...

The global mass dependence of the nuclear symmetry energy asym(A) and its two basic ingredients due to the mean-level spacing ε(A) and effective strength of the isovector mean-potential κ(A) is studied within the Skyrme-Hartree-Fock model. In particular, our study determines the ratio of the surface-to-volume contributions to asym(A) to be rS/V ∼ 1.6 and reveals that after removing momentum-dep...