Green's function method for single-particle resonant states in relativistic mean field theory

Abstract

Relativistic mean field theory is formulated with the Green's function method in coordinate space to investigate the single-particle bound states and resonant states on the same footing. Taking the density of states for free particle as a reference, the energies and widths of single-particle resonant states are extracted from the density of states without any ambiguity. As an example, the energies and widths for single-neutron resonant states in ${}^{120}$Sn are compared with those obtained by the scattering phase-shift method, the analytic continuation in the coupling constant approach, the real stabilization method and the complex scaling method. Excellent agreements are found for the energies and widths of single-neutron resonant states.

20 pages, 7 figures

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• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
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• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Study of single-particle resonant states with Green's function method
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method