Canonical states in relativistic continuum theory with the Green's function method: Neutrons in continuum of zirconium giant-halo nuclei

The canonical states in the relativistic continuum Hartree-Bogoliubov theory with Green's function method are obtained by diagonalizing the density matrix on a spatial mesh. Taking the giant halo nucleus 128Zr as an example, the obtained canonical single-particle energies and wave functions are compared in detail with the corresponding calculations with the box-discretized method. The occupation number vi2 in the canonical basis and the neutrons in continuum Nc are investigated for the Zr giant halo nuclei. The dependencies on the pairing strength V0 and on the different density functionals PK1 and NL-SH are also studied. It is found that the calculations with Green's function and box-discretized methods are almost consistent in describing nuclear global properties and the neutrons in continuum, meanwhile the Nc of giant halo nuclei may heavily depend on the adopted pairing strength as well as the density functional.

Automated summary

The canonical states in the relativistic continuum Hartree-Bogoliubov theory were obtained by diagonalizing the density matrix using Green's function method on a spatial mesh. The study compared the obtained canonical single-particle energies and wave functions with box-discretized method for the giant halo nucleus 128Zr, and investigated the occupation number vi2 in the canonical basis and the neutrons in continuum Nc. The results showed that the calculations with Green's function and box-discretized methods were consistent in describing nuclear global properties and the neutrons in continuum, while Nc of giant halo nuclei may heavily depend on the pairing strength and density functional used.