Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes

摘要: The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are examined with
the continuum Skyrme Hartree–Fock–Bogoliubov theory in the framework of the Green's function method.
The pairing correlation, the couplings with the continuum, and the blocking effects for the unpaired nucleon
in odd-A nuclei are properly treated. The Skyrme interaction SLy4 is adopted for the ph channel and the
density-dependent δ interaction is adopted for the pp channel, which well reproduce the experimental two-
neutron separation energies S2n and one-neutron separation energies Sn. It is found that the criterion Sn > 0
predicts a neutron drip line with neutron numbers far smaller than those for S2n > 0. Owing to the unpaired
odd neutron, the neutron pairing energies −Epair in odd-A nuclei are far lower than those in the neighboring
even-even nuclei. By investigating the single-particle structures, the possible halo structures in the neutron#2;
rich Ca, Ni, and Sn isotopes are predicted, where sharp increases in the root-mean-square (rms) radii with
signifificant deviations from the traditional r ∝ A 1/3 rule and diffuse spatial density distributions are observed.
Analyzing the contributions of various partial waves to the total neutron density ρlj (r)/ρ(r) reveals that the
orbitals located around the Fermi surface—particularly those with small angular momenta—signifificantly affect
the extended nuclear density and large rms radii. The number of neutrons Nλ (N0) occupying above the Fermi
surface λn (continuum threshold) is discussed, whose evolution as a function of the mass number A in each
isotope is consistent with that of the pairing energy, supporting the key role of the pairing correlation in halo
phenomena.