Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

Abstract

Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state $\nu 1g_{9/2}$ in ${}^{60}$Ca as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a $\pade$ approximant of the second kind. The RMF-ACCC approach is then applied to ${}^{122}$Zr and, for the first time, this approach is employed to investigate both the energies, widths and wave functions for $l\ne 0$ resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method.

19 pages, 9 figures

References in corpus (9)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• A Giant Halo at the Neutron Drip Line
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Pairing correlations and resonant states in the relativistic mean field theory
• Resonant continuum in the Hartree-Fock+BCS approximation
• Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
• From bound states to resonances: analytic continuation of the wave function

Cited by in corpus (25)

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• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Pseudospin symmetry in single particle resonant states
• Real stabilization method for nuclear single particle resonances
• Pseudospin symmetry in single particle resonances in spherical square wells
• 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
• Green's function method for single-particle resonant states in relativistic mean field theory
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Resonant states of deformed nuclei in complex scaling method
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Spherical-box approach for resonances in presence of Coulomb interaction
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Combination of complex momentum representation and Green's function methods in relativistic mean-field theory
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Searching for single-particle resonances with the Green's function method
• Role of quadrupole deformation and continuum effects in the "island of inversion'' nuclei ${}^{28,29,31}$F
• Study of single-particle resonant states with Green's function method
• Isoscalar and Isovector spin response in $sd-$ shell nuclei
• Temperature effects on nuclear pseudospin symmetry in the Dirac-Hartree-Bogoliubov formalism
• Role of pairing interaction in neutron rich odd and even Zr nuclei
• Pseudospin symmetry in nuclear structure and its supersymmetric representation