Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach

Abstract

Single-particle resonant-states in the continuum are determined by solving scattering states of the Dirac equation with proper asymptotic conditions in the relativistic mean field theory (RMF). The regular and irregular solutions of the Dirac equation at a large radius where the nuclear potentials vanish are relativistic Coulomb wave functions, which are calculated numerically. Energies, widths and wave functions of single-particle resonance states in the continuum for ^{120}Sn are studied in the RMF with the parameter set of NL3. The isoscalar giant octupole resonance of ^{120}Sn is investigated in a fully consistent relativistic random phase approximation. Comparing the results with including full continuum states and only those single-particle resonances we find that the contributions from those resonant-states dominate in the nuclear giant resonant processes.

16 pages, 2 figures

References in corpus (4)

• The time-dependent relativistic mean-field theory and the random phase approximation
• Theoretical Aspects of Science with Radioactive Nuclear Beams
• Exploration of resonances by analytic continuation in the coupling constant
• Particle-unstable nuclei in the Hartree-Fock theory

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