Structure of positive energy states in a deformed mean-field potential

Abstract

We investigate the properties of single-particle resonances in a non-spherical potential by solving the coupled-channels equations for the radial wave functions. We first generalize the box discretization method for positive energy states to a deformed system. As in the spherical case, we find that the discretized energy is stabilized against the box size when a resonance condition is met. Using the wave functions thus obtained, we then discuss the energy and the radial dependences of scattering wave functions in the vicinity of an isolated resonance. In the eigenchannel basis, where the $S$-matrix is diagonal, we propose a generalized expression for the factorization formula for the multi-channel wave function. We find that the factorized wave function agrees well with the exact solution inside the centrifugal barrier when the energy distance from the resonance is less than the resonance width.

arXiv comment22 pages, 5 eps figures; a figure added

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• Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Searching for single-particle resonances with the Green's function method
• Perturbative HFB model for many-body pairing correlations
• Pseudospin symmetry in nuclear structure and its supersymmetric representation