Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach

Details Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach

2002-07-17

arxiv.org/abs/nucl-th/0207054v1

Phys.Rev. C66 (2002) 024311

Physics

Nuclear Physics

Nuclear Theory

16 pages, 2 figures

Scientific paper

10.1103/PhysRevC.66.024311

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.

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