Abstract

The fragmentation of hole states in spherical nuclei is calculated within the quasiparticlephonon nuclear model. The model equations and the numerical method for their solution are given. The influence of the “quasiparticle plus two phonon” components of the wave function and of phonons of different multipolarity on the fragmentation of one-quasiparticle states is investigated. The necessity of taking into account the “quasiparticle plus two phonon” components and of calculating with a large phonon basis is shown. The calculated values of the centroid E x , width Γ ↓ and spectroscopic factor S j , are in satisfactory agreement with the experimental data for the fragmentation of the neutron states 1 d 3 2 and 1f 7 2 in 57Ni, 1g 9 2 in Sn and 123Te, and of the proton state 1g 9 2 in 143Pm, etc. The calculated strength concentration of the lg 9 2 state decreases in the peak when passing from 115Sn to 119Sn. However, this decrease is less than that observed experimentally.

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