[en] The foundation of the Strutinsky method within the Hartree-Fock (HF) framework is discussed. Both the basic energy theorem and the energy averaging method are investigated theoretically and numerically. The equivalence of the averaging method with semiclassical expansions is exhibited. Numerical tests of the basic assumptions of the shell-correction approach are presented, which make use of the results of constrained HF calculations for various nuclei and with different effective interactions. The HF energy is decomposed into a smooth part which is shown to be very close to a liquid drop model energy, a first order shell-correction defined in the usual way, and higher order corrections which usually are neglected in standard Strutunsky calculations. These higher order terms are shown not to contribute more than approximately 1-2 MeV to the total energy in medium and heavy nuclei. New results for the nucleus ⁴⁰Ca show that this is no longer the case for light nuclei. Alternative ways of defining the smooth part of the energy are also considered. It is particularly found that if the Strutinsky averaging is performed selfconsistently, the sum of the average energy plus the first order shell-correction extracted from the average potential reproduces perfectly well the exact HF energy. (Auth.)

[en] The realistic soft core two nucleon interaction proposed by Gogny, Pires and de Tourreil (1970) is such that it is not necessary to have recourse to Brueckner theory in treating n-body problems. Therefore ordinary perturbation theory has been used to calculate the equilibrium properties (i.e. binding energy, density, radius and separation energy) of ¹⁶O, ⁴⁰Ca, ⁹⁰Zr and ²⁰⁸Pb. (Auth.)

[en] It is currently believed that pulsars are rapidly rotating neutron stars possessing very intense magnetic fields and hence the equation of state as well as the magnetic properties of the neutron star matter are of a considerable interest. These have been calculated for the Reid hard and soft core potentials. The rearrangement contributions, which are negligible at lowest density, being important at the highest densities considered, was calculated using the approximation of Brueckner and Gammel. In contrast to the case of liquid ³He, where the lowest order Brueckner theory seems to be inadequate, this approximation when applied to neutron matter leads to the results, which are in agreement with the results obtained within the frame of the Landau theory of Fermi liquid. No sign of a tendency to a transition to ferromagnetic state was found. (Auth.)

[en] The consistency of the strength of the particle-vibration coupling is discussed. By using the particle-vibration coupling model, the shifts of the single-particle energies due to the core-polarization are estimated in the ²⁰⁸Pb region. Then, the interpretation of the observed 'single-particle spectra' is discussed. (Auth.)

[en] The authors discuss the effect of the choice of Usub(p), an auxiliary single-particle potential energy, on the binding energy versus saturation density problem. (V.J.C.)

[en] The excitation spectra of ⁴⁶⁴⁸Ti, ⁵⁰⁵⁴Cr and ⁵⁶Fe are studied by the generator coordinate method. The effective interaction of Kuo and its modification by McGrory are used, the single particle energies are taken from ⁴¹Ca. For almost all low lying states the mixing of states around the prolate and oblate minima is essential for a reasonable description. For the yrast states this already provides a very good approximation to the more complete generator coordinate method. For this prolate-oblate mixing the pairing correlations play an important role, since a direct mixing of states projected from prolate and oblate Hartree Fock solutions is negligible. In all cases the excitation energies of the yrast states show a good agreement with experiment, showing only little dependence on the forces used. For the description of non yrast states it is necessary to include more (Q,Δ)-points (<=10). (Auth.)

[en] New results are obtained by applying a microscopic and self-consistent approach to the calculations of ground state properties of the very light nuclei, the Na-K- and Rb-isotopes as well as more than 300 spherical medium nuclei situated in the regions of the nuclear drip lines. (Auth.)

[en] Two calculations are compared, one of Brueckner-Hartree-Fock type and one of local density approximation type, which both include the particle-hole Pauli insertion. (V.J.C.)

[en] Preliminary results are presented of R.P.A. calculation on ¹⁶0 with the particle-hole interaction derived from the interaction D 1. The particle-hole interaction is defined as the second derivative of the effective interaction with respect to the density. The density dependent effective interaction of finite range 'D1' is phenomenological in the sense that its relation with realistic nucleon-nucleon interactions was left out. However to prevent unrealistic admixture of spin and isospin terms, each of its components was checked on nuclear matter saturation properties as calculated with more fundamental approaches. (Auth.)

[en] The principle characteristics of Hartree-Fock charge densities (mean square radius, surface thickness, quantum fluctuation) calculated using different effective interactions are discussed in terms of their nuclear matter properties (Fermi momentum, effective mass, incompressibility). A comparison with the experimental charge distributions is made. Differences between the charge densities of neighbouring nuclei (isotope and isotone shifts) are also considered and the main factors governing these effects are discussed. (Auth.)