Exploration of resonances by analytic continuation in the coupling constant

Abstract

The energy and the width of resonance states are determined by analytic continuation of bound-state energies as a function of the coupling constant (potential strength). The advantage of the method is that the existing techniques for calculation of bound states can be applied, without any modifications, to determine the position of resonances. Various numerical examples show the applicability of the method for three-body systems, including the excited states of the ${}^6$He and ${}^6$Li.

9 pages, revtex with epsf figures

Cited by in corpus (21)

• Systematics of proton emission
• Resonance states in 12C and alpha-particle condensation
• Real stabilization method for nuclear single particle resonances
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
• Green's function method for single-particle resonant states in relativistic mean field theory
• Algebraic Model for scattering of three-s-cluster systems. II. Resonances in the three-cluster continuum of 6He and 6Be
• From bound states to resonances: analytic continuation of the wave function
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Resonant states of deformed nuclei in complex scaling method
• Borromean Binding of Three or Four Bosons
• Resonances in the three-neutron system
• Spherical-box approach for resonances in presence of Coulomb interaction
• Neutron-${}^3$H potentials and the ${}^5$H-properties
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• The Continuum Spectrum of Hypernuclear Trios
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Necessary conditions for accurate computations of three-body partial decay widths
• Three-body structure of low-lying 18Ne states
• Microscopic study of the deformed neutron halo of 31Ne
• Study of single-particle resonant states with Green's function method