Abstract
Effects of pairing correlation on the low-lying quasiparticle resonance in neutron drip-line nuclei
Highlights
We discuss effects of pairing correlation on quasi-particle resonance
Apart from quantal penetration caused by the small separation energy, the neutron pairing correlation plays crucial roles here, for example, to determine the binding of two-neutron halo nuclei [3,4,5,6,7]
The pairing correlation persists in drip-line nuclei only with the continuum coupling to allow binding of a two-neutron halo [5, 8]
Summary
We introduce the wave function of the Bogoliubov quasi-particle state in the notation of Ref. Where l, j and m are the angular momentum quantum numbers of the quasi-particle state, with Y and χ being the spherical harmonics and the spin wave function. We adopt an approximation to which the neutron is treated as an unbound quasi-particle state, governed by Eq (3), built on the pair correlated even-even nucleus. We neglect selfconsistent effect of unbound neutron on the mean field and the pair correlation. We impose the scattering boundary condition on the Bogoliubov quasi-particle at distances far outside the nucleus as 1 r ulj (r) vlj (r).
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