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  • 1970-1974  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    On number and angular momentum projection from Hartree-Bogoliubov states (1973)
    Springer
    The European physical journal 263 (1973), S. 407-424 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Rotational spectra, calculated by angular momentum projection from Hartree-Bogoliubov states may be completely distorted by particle number nonconservation. A simple method for correcting this is presented, which brings them close to the number projected spectra. It is also shown that by a slight modification of the usual number projection operator this projection may then be executed two times faster and with better numerical accuracy. We study the effect ofJ- and/orN projection before the variation in a constrained Hartree-Bogoliubov model. It is demonstrated that only simultaneous projection of both particle number and angular momentum before the variation is meaningful. Then a more gradual antipairing effect is found than known from previous work. We conclude however that the diagonalization of the Hamiltonian in a space of appropriately chosen generator wave functions is preferable to projection before the variation. In all cases the examples are nuclei in thesd-shell, calculated selfconsistently without separating off and inert core. The nucleon-nucleon force is the Hamada-Johnston potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01391990
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Study ofpf-shell nuclei with a symmetry conserving generator coordinate method (1974)
    Springer
    The European physical journal 271 (1974), S. 377-389 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Bands based on the 0+ ground state and the first excited 0+ pairing vibrational state of48Ti,52Cr and56Fe are studied with the generator coordinate method. The generating wave functions for each value of the angular momentumJ are angular momentum and particle number projected selfconsistent Hartree-Fock-Bogoliubov states where the constrained amount of pairing correlations serves as the generator coordinate. The interaction is given by reaction matrix elements derived from the Hamada-Johnston force. The basis includes the four lowest oscillator shells. The excitation energies of the pairing vibrational states can be reproduced fairly well by the present choice of the generating wave functions, whereas the ground band is not much improved compared to projected Hartree-Bogoliubov calculations. We find that the strength of the pairing correlations in the 0+ and 2+ states of the ground state and the pairing vibrational bands can be related to data of two-particle transfer reactions. The angular momentum dependence of the pairing correlations and of the moments of inertia are studied. The results show that for a strongly paired ground state the ground state band and the pairing vibrational band intersect. This may produce in the yrast band the anomaly of the moment of inertia known from rare earth nuclei.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02126193
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The FBCS model and the inverse gap equations applied to the tin isotopes (1974)
    Springer
    The European physical journal 267 (1974), S. 87-96 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The FBCS model for odd nuclei and the inverse gap equations are applied to a whole sequence of tin isotopes,viz.111–125Sn. From spectroscopic data on the odd isotopes, the single-particle energies and interaction strengths are obtained. With these parameters the lowest states of the even isotopes are calculated by a number-projected two-quasiparticle diagonalization and by the usual BCS one. This is done with two Gaussian interactions and the SDI. In the case of the Gaussian forces the experimental energies are well reproduced by the number-projected treatment. Effective charges for Eλ transitions, which are required to reproduce the experimental transition rates, are rather constant for the whole series of isotopes, in case of the number-projected treatment. In addition a number of spectroscopic factors for one-nucleon transfer reactions are calculated and good agreement with experiments is observed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01668634
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    Paper (German National Licenses)
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