On description of the direct nucleon decay of giant resonances

Abstract

A semimicroscopical approach is formulated to describe the direct nucleon decay of various giant resonances in intermediate and heavy mass spherical nuclei. The approach consists in: (i) the exact continuum-RPA calculations for amplitudes of the reactions accompanied by excitation and the nucleon decay of the collective particle-hole states (doorway states); (ii) the Breit-Wigner parametrization of the RPA reaction-amplitudes in the vicinity of the giant giant-resonance energy and evaluation of the doorway-state parameter (the energy, entrance and partial nucleon, escape widths); (iii) the phenomenological consideration for the doorway-state coupling to many-particle configurations with the use of reasonable statistical assumptions and derivation on this base the expressions for the energy-averaged reaction amplitudes. The nuclear mean field and quasiparticle interaction are the input quantities for calculations. Examples of description for the direct nucleon decay of a number of giant resonances in the $^{208}Pb$ parent nucleus are given together with the comparison with corresponding experimental data.