| We successfully reproduce pairing properties of spherical nuclei with zero range approximation (ZRA). A previous problem associated with ZRA, the divergence of the pairing field in the Hartree-Fock-Bogoliubov approach, can be cured using pseudopotential model. We also apply this local pairing treatment to vortices in neutron matter and in cold atomic gas with a very large scattering length, where we reveal a bosonic feature of such systems that there is a matter depletion at the core area of a vortex state. |
