Pair correlation in deformed neutron-drip-line nuclei: The eigenphase formalism and asymptotic behavior

Abstract

The Hartree-Fock-Bogoliubov (HFB) equation for deformed nuclei in a simplified model is solved in coordinate space with correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The eigenphase formalism is applied, when the upper components of HFB radial wave functions are continuum wave functions. Calculated occupation probabilities of various Nilsson orbits in the HFB ground state vary smoothly from the region of the upper components being bound wave functions to that of those being continuum wave functions. It is shown that weakly-bound or resonance-like Omega(pi)=1/2(+) Nilsson orbits contribute little to the occupation probability of the HFB ground state, while the contribution by the orbits with a large value of Omega, of which the smallest possible orbital-angular-momentum is neither 0 nor 1, may be approximately estimated using the BCS formula. (Less)