Searching for single-particle resonances with the Green's function method

Abstract

Single-particle resonances in the continuum are crucial for studies of exotic nuclei. In this study, the Green's function approach is employed to search for single-particle resonances based on the relativistic-mean-field model. Taking ${}^{120}$Sn as an example, we identify single-particle resonances and determine the energies and widths directly by probing the extrema of the Green's functions. In contrast to the results found by exploring for the extremum of the density of states proposed in our recent study [Chin. Phys. C, 44:084105 (2020)], which has proven to be very successful, the same resonances as well as very close energies and widths are obtained. By comparing the Green's functions plotted in different coordinate space sizes, we also found that the results very slightly depend on the space size. These findings demonstrate that the approach by exploring for the extremum of the Green's function is also very reliable and effective for identifying resonant states, regardless of whether they are wide or narrow.

arXiv comment8 pages, 4 figures, and 1 table

References in corpus (44)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• A Giant Halo at the Neutron Drip Line
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Neutron halo in deformed nuclei
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• Pseudospin symmetry in single particle resonant states
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• S-matrix and R-matrix determination of the low-energy He-5 and Li-5 resonance parameters
• Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory
• Pseudospin symmetry in single particle resonances in spherical square wells
• Mean field approaches for ${\Xi }^{-}$ hypernuclei and current experimental data
• Probing the resonance of Dirac particle by the application of complex momentum representation
• Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory
• Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
• Constraints on the skewness coefficient of symmetric nuclear matter within the nonlinear relativistic mean field model
• Green's function method for single-particle resonant states in relativistic mean field theory
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Particle-unstable nuclei in the Hartree-Fock theory
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Anomalous pairing vibration in neutron-rich Sn isotopes beyond the N=82 magic number
• Surface-enhanced pair transfer in quadrupole states of neutron-rich Sn isotopes
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Collective Excitations and Pairing Effects in Drip-Line Nuclei -- Continuum RPA in Coordinate-Space HFB --
• Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space
• Giant neutron halos in the non-relativistic mean field approach
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Shape transition with temperature of the pear-shaped nuclei in covariant density functional theory
• Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei
• Massive neutron stars and $\Lambda$-hypernuclei in relativistic mean field models
• Structure of positive energy states in a deformed mean-field potential
• Continuum quasiparticle random phase approximation for astrophysical direct neutron capture reaction of neutron-rich nuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Di-neutron correlation in monopole two-neutron transfer modes in Sn isotope chain
• An efficient method for mapping the 12C+12C molecular resonances at low energies
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Yield ratio of neutrons to protons in ${}^{12}C(d,n{)}^{13}$N and ${}^{12}C(d,p{)}^{13}$C from 0.6 MeV to 3 MeV
• Study of single-particle resonant states with Green's function method

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