Nuclear shapes and superdeformation: A completely microscopic approach

Physics – Nuclear Physics

Scientific paper

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Hartree-Fock And Random-Phase Approximations, Collective Models, 190<=A<=219

Scientific paper

A completely microscopic approach of deformation and superdeformation in nuclei based on the constrained mean field theory is presented, together with applications to three Mercury isotopes. The Hartree-Fock-Bogolyubov theory of nuclear structure is employed with the D1S effective interaction in order to derive potential energy surfaces and associated inertia. Collective coordinates of β-γ and q20-q30 types are envisaged in this study. Collective states are computed by diagonalizing a collective Hamiltonian whose form is deduced from the Generator Coordinate theory. Well-localized shape isomers are found in 190Hg, 192Hg and 194Hg at excitation energies 4.4, 5.4, and 6.9 MeV, respectively. Computations of all levels up to spin 22 reveal the existence of three superdeformed bands in 192Hg. B(E2)'s for both in-band and off-band transitions are obtained. They compare well with available measurements. The decay out of these bands is also discussed. A coupled quadrupole-octupole collective calculation around the isomer state of 192Hg shows that octupole excitations are stiffer than both β and γ modes.

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