Resonant states of deformed nuclei in complex scaling method

Abstract

We develop a complex scaling method for describing the resonances of deformed nuclei and present a theoretical formalism for the bound and resonant states on the same footing. With ${}^{31}$Ne as an illustrated example, we have demonstrated the utility and applicability of the extended method and have calculated the energies and widths of low-lying neutron resonances in ${}^{31}$Ne. The bound and resonant levels in the deformed potential are in full agreement with those from the multichannel scattering approach. The width of the two lowest-lying resonant states shows a novel evolution with deformation and supports an explanation of the deformed halo for ${}^{31}$Ne.

15 pages, 7 figures. arXiv admin note: text overlap with arXiv:0712.3087, arXiv:nucl-th/0403013 by other authors

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• Real stabilization method for nuclear single particle resonances
• Neutron shell structure and deformation in neutron-drip-line nuclei
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Relativistic extension of the complex scaling method
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Cited by in corpus (15)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Green's function method for single-particle resonant states in relativistic mean field theory
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Research on the halo in ${}^{31}$Ne with complex momentum representation method
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Study of single-particle resonant states with Green's function method
• Possible hadronic molecular states composed of $S$-wave heavy-light mesons
• Probing double hadron resonances by the complex scaling method
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Explanation of Y(4630) as hadronic resonant state