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

References in corpus (9)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Pseudospin symmetry in single particle resonant states
• Pairing correlations and resonant states in the relativistic mean field theory
• Real stabilization method for nuclear single particle resonances
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• Giant neutron halos in the non-relativistic mean field approach
• Pairing collectivity in medium-mass neutron-rich nuclei near drip-line
• Di-neutron correlation in soft octupole excitations of neutron-rich Ni isotopes beyond N=50

Cited by in corpus (5)

• Probing the resonance of Dirac particle by the application of complex momentum representation
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• 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