Microscopic approach to collective motion

P. Bonche (1) , E. Chabanat (2) , B. Q Chen (3) , J. Dobaczewski , H. Flocard (4) , B. Gall (4) , P.H. H Heenen , J. Meyer (2) , N. Tajima (5) , M.S. Weiss (6)

1 SPhT - Service de Physique Théorique
2 IPNL - Institut de Physique Nucléaire de Lyon
3 CS CALTECH - Computer Science Department
4 IPNO - Institut de Physique Nucléaire d'Orsay
5 Institute of Physics, University of Tokyo
6 LLNL - Lawrence Livermore National Laboratory

An overview of a microscopic framework based on the Hartree-Fock description of the mean field is presented which, starting from an effective interaction allows a description of collective motions. A study of the isotope shifts in the Pb region illustrates the importance of the effective interactions and points to their limitations. Such forces should be improved in order to achieve a better description of nuclei properties especially with the coming availability of exotic beam facilities. The coupling of collective quadrupole and octupole degrees of freedom in $^{194}$Pb is analyzed within the Generator Coordinate Method, which represents a step beyond the simple mean-field approximation. As a last example, we present a study of nuclear rotations. First we discuss results on superdeformed rotating bands in $^{192}$Hg, $^{194}$Hg and $^{194}$Pb obtained without including a treatment of pairing correlations. Preliminary calculations are also presented with these correlations included as well as an approximate projection on nucleon number.

Domains: Nuclear Theory [nucl-th]

P. Bonche, E. Chabanat, B. Q Chen, J. Dobaczewski, H. Flocard, et al.. Microscopic approach to collective motion. Nuclear Physics A, 1994, 574 (1-2), pp.185c-205c. ⟨10.1016/0375-9474(94)90045-0⟩. ⟨cea-02928290⟩