Influence of the Pauli principle on the properties of two-phonon states

It is shown that in the framework of the quasiparticle-phonon model of the nucleus the commutation relations between quasiparticles forming the phonons can be correctly taken into account. The case of even-even deformed nuclei is investigated. Exact and approximate secular equations are obtained. It is shown that the corrections associated with allowance for the Pauli principle are large for the two-phonon components of the wave functions formed from identical phonons.