Abstract
It is shown that the commutation relations between the quasiparticles forming phonons can correctly be taken into account within the quasiparticle-phonon nuclear model. The doubly-even deformed nuclei with the isoscalar and isovector multipole-multipole forces are studied. The exact and approximate secular equations are derived. It is shown that the two-phonon poles in the secular equation are shifted due to the Pauli principle. These shifts are large for the two identical collective phonons. In some cases pronounced shifts are found for the poles composed of a low-lying collective phonon and a collective phonon forming the giant resonance. In other cases the shifts are not large, as a rule.
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Jolos, R.V., Molina, J.L. & Soloviev, V.G. Effect of the Pauli principle on the excited states of doubly-even deformed nuclei. Z Physik A 295, 147–152 (1980). https://doi.org/10.1007/BF01413072
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DOI: https://doi.org/10.1007/BF01413072