Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach Typeset Using Revt E X

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 120Sn are studied in the RMF with the parameter set of NL3. The isoscalar giant octupole resonance of 120Sn 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. Typeset using REVTEX also Center of Nuclear Theoretical Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China and Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China