Iterative method of solving the equations of the quasiparticle-phonon model in spherical nuclei

An tterative method is proposed for solving the equations of the quasipartiele-phonon model in spherical nuclei. The wave function of excited states includes single- and two-phonon terms in the case of even-even nuclei and quasiparticle, single- and two-phonon terms in the case of odd nuclei. The equations of the model are given in a form convenient for iterative solution. The conditions of convergence of the iterative process are considered. Expressions are obtained that describe the fragmentation of the quasiparticle component in odd nuclei. It is shown that the proposed iterative method can be used for their calculation.