Evolution of surface deformations of weakly bound nuclei in the continuum

Accepted

We study weakly-bound deformed nuclei based on the coordinate-space Skyrme Hartree-Fock-Bogoliubov (HFB) approach, in which a large box is employed for treating the continuum and large spatial extensions. Approaching the limit of the core-halo deformation decoupling, calculations found an exotic ``egg"-like structure consisting of a spherical core plus a prolate halo in $^{38}$Ne, in which the near-threshold non-resonant continuum plays an essential role. Generally the halo probability and the decoupling effect in heavy nuclei can be hindered by high level densities around Fermi surfaces. However, deformed halos in medium-mass nuclei are possible as the negative-parity levels are sparse, e.g., in $^{110}$Ge. The deformation decoupling has also been demonstrated in pairing density distributions.