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  • Electronic Resource  (65)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 218 (1969), S. 394-400 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Lipkin model is extended to yield a non-trivial Hartree-Fock (HF) solution for any coupling constant of the two-body force. In this model the multi-configuration Hartree-Fock (MCHF) approach is compared with the exact solution and with the HF solution. The results show a strong superiority of the MCHF method over the HF approximation.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 212 (1968), S. 1-31 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Hartree-Fock (HF) and Hartree-Fock-Bogolyubov (HFB) calculations have been performed for the 1p shell nuclei. Nuclear deformations are assumed to be at most axially symmetric. The HFB transformation is restricted to allow forp-p andn-n pairing only.Volkov's force, a soft-core, two-body interaction of semi-realistic nature, is used which does not produce any single-particle spin-orbit splittings. Coulomb force and the usual correction for centre-of-mass motion are taken into account. The calculations are carried out in a single-particle basis including all states up to principle oscillator quantum numberN=3 (in some cases,N=4). Binding energies, rms radii, density distributions, and quadrupole moments are calculated and found to be in reasonable agreement with experiment. Large Hartree-Fock energy gaps are obtained. They prevent the pairing correlations considered from becoming effective in an HFB approach and from changing the HF ground-state properties appreciably. In non-selfconjugate nuclei, the Pauli principle, rather than the Coulomb interaction, yields large differences between the charge and mass distributions. A theorem on selfconsistent symmetries is proved. The coefficients of the HFB transformation turn out to be real, if time-reversal and angular momentum projection flip are selfconsistent symmetries.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 239 (1970), S. 73-82 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Euler Lagrange equations corresponding to the Hartree-Fock variational problem after angular momentum projection (PHF) are derived. The exact equations are simplified employing the Gaussian overlap approximation. The solution of the PHF equations in this approximation is seen to be not much more complicated than the solution of the normal HF problem.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 271 (1974), S. 7-9 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Euler-Lagrange equations corresponding to the Hartree-Fock variational problem after angular momentum projection are derived, including one particle-one hole corrections. The solutions are seen to pose a numerical problem only slightly more complicated than the ordinary HF one.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 271 (1974), S. 161-167 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The asymmetry of the fragment mass distribution of fissioning nuclei is described by suitable parametrization of an asymmetric two-center shell model (ATCSM). The deformation energy surface is calculated by applying a modified shell-correction prescription due to Strutinsky. It is shown that the ATCSM is specially suited for the description of the scission asymmetry which turns out to be strongly dependent on the shell structure of the fragments. It is demonstrated that the mass asymmetry at scission is unaffected by whether or not the Strutinsky renormalization for the shell corrections is employed for the calculation of the deformation energy surface.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 275 (1975), S. 391-395 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Generator-Coordinate-Method is applied to describe yrast-bands and excited vibrational bands of pairing-vibrational orβ-vibrational type in deformed rare earth nuclei. The model wave functions are supplied by the Pairing+Quadrupole-Model with angular momentum — and particle number projection. Results are shown for the nucleus170Yb. The question if backbending may be produced by the intersection of the ground and the neutron pairing vibrational band is discussed.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 276 (1976), S. 91-97 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effect of random phase ground state correlations on charge densities and elastic electron scattering cross sections is studied for208Pb and40Ca. Modifications of the charge densities relative to densities obtained by Hartree-Fock calculations with a density dependent force are studied using different RPA wave functions. The differences with respect to the HF charge distributions are discussed.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 284 (1978), S. 195-202 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We apply theG matrix elements calculated by Singh et al. (using the DWBA approach) to some spectra calculations forA=18, 19, 20 after first renormalizing the matrix elements by including second-order processes inG. The corrections introduced by the Distorted-Wave-Born-Correction Term are attractive for both the H.J. and Reid potentials. The magnitude and uncertainties in these corrections are discussed. Differences between these potentials are attributed chiefly to their different off-the-energy-shell behaviour. The results are compared to calculations with the Kuo matrix elements and with experiment.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 285 (1978), S. 77-81 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The renormalization of the effective interaction by (A+2)particle-2 hole excitations is studied at the example of48Ti. The many body problem is solved for the low lying rotational and vibrational states with a generator coordinate method (GCM) built on constrained Hartree-Fock-Bogoliubov (HFB) solutions with angular momentum and particle number projection. To test the quality of the renormalization a calculation is performed in apf shell space with the renormalized and the bare interaction and in apf-sd shell space with the bare reaction matrix of the same force (Hamada-Johnston). For small deformations one finds good agreement between the results of the renormalized force in the small space and the bare interaction in the large space. For larger deformations this agreement breaks down. The causes for this are discussed.
    Type of Medium: Electronic Resource
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  • 10
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The formation and break-up of substructures is studied in32S as a calculable microscopic model for analogous long-range many-nucleon correlations in the fission of actinides. The calculations are performed for alpha-cluster wave functions with Volkov and Brink-Boeker interaction allowing forα,12C,16O and20Ne clustering. It turns out that the correlated motion of large magic numbers of nucleons in two groups (16O+16O) is energetically favorable already at relatively small deformations. In the second minimum the16O+16O substructure occurs with high probability (about 80%). In analogy to these results the “pre-formation” of fragments and “fragment shell” effects occuring in the fission of actinides are explained in terms of probability statements for the formation of the corresponding heavy clusters in the many-body wave function.
    Type of Medium: Electronic Resource
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