Unified description of electric and magnetic excitations in deformed nuclei

Abstract

New phonon operators are introduced for describing deformed nuclei which consist of the electric and magnetic parts. The Hamiltonian of the quasiparticle-phonon nuclear model is constructed and the basic equations for the finite rank separable isoscalar and isovector multipole and spin-multipole particle-hole and particle-particle interactions between quasiparticles are derived. It is shown that calculations of one-phonon states in the RPA encounter some difficulties due to the finite rank nma x > 1 separable interaction of the electric and magnetic type. The use of complex separable n~x > 1 interactions does not lead to complication of the QPNM equations for describing fragmentation of vibrational states. The matrix elements are obtained for describing E2-and M2-transitions between excited states of deformed nuclei. It is stated that the QPNM can serve as a basis for calculating many characteristics of excited states of deformed nuclei.

Gamma-ray transitions between excited states in168Er

“…we derive the secular equation for the energies W A ~~ of the one-phonon states as an equality to zero of a determinant of rank 6. The secular equation for describing the 0 ' states has been obtained in [26] as an equality to zero of a determinant of rank 10.…”