Shape coexistence in neutron-deficient Kr isotopes: Constraints on the
single-particle spectrum of self-consistent mean-field models from collective
excitations
We discuss shape coexistence in the neutron-deficient Kr72-Kr78 isotopes in
the framework of configuration mixing calculations of particle-number and
angular-momentum projected axial mean-field states obtained from
self-consistent calculations with the Skyrme interaction SLy6 and a
density-dependent pairing interaction. While our calculation reproduces
qualitatively and quantitatively many of the global features of these nuclei,
such as coexistence of prolate and oblate shapes, their strong mixing at low
angular momentum, and the deformation of collective bands, the ordering of our
calculated low-lying levels is at variance with experiment. We analyse the role
of the single-particle spectrum of the underlying mean-field for the spectrum
of collective excitations.Comment: accepted for publication in Phys. Rev.