Approximate solution of the equations of a model for describing highly excited states of even-even deformed nuclei

An extension of the model suggested earlier for the description of intermediate and highly excited states of odd deformed nuclei to the case of doubly even: nuclei is made. The wave function contains one-, two-, three- and four-phonon terms. The approximate solution taking into account the noncoherent pole terms is used to obtain approximate solutions of the model. The system of equations is reduced to a secular equation which: does not contain superfluous solutions. The equations obtained may serve as a basis for studying the structure of intermediate and highly excited states of doubly events deformed nuclei.