Abstract
An equation of motion phonon method, developed for even-even nuclear systems and extended to odd nuclei, is applied to 22O and to its odd neighbors 23O and 23F. A calculation using the chiral potential NNLOopt is carried out in a space encompassing up to two phonons. The computed dipole cross section in 22O and the spectra of 22O and 23O are in a satisfactory agreement with the experimental data. However, the calculation describes poorly the spectrum of 23F. This discrepancy originates from the strong coupling between the odd proton and the 22O phonons of neutron nature. This coupling pushes down in energy several states enhancing the level density at low energy. We suggest that a viable route for the solution of this problem could be the inclusion of the three-body interaction using the new chiral potential NNLOsat.
Highlights
Several experiments have been carried out to study the spectroscopic properties of neutron rich isotopes in the oxygen region
The method was first formulated for even-even nuclei in the particle-hole (p-h) scheme [26,27,28] and, in terms of Hartree-Fock-Bogoliubov (HFB) quasiparticles [29]. It derives a set of equations yielding a basis of orthonormal multiphonon states, built of phonons obtained in TammDancoff approximation (TDA), and, solves the full eigenvalue problem in the space spanned by such a basis
At low energy ∼ 7 − 15 MeV, the cross section exhibit small humps which can be associated to the pygmy dipole resonance (PDR)
Summary
Several experiments have been carried out to study the spectroscopic properties of neutron rich isotopes in the oxygen region. The method was first formulated for even-even nuclei in the particle-hole (p-h) scheme [26,27,28] and, in terms of Hartree-Fock-Bogoliubov (HFB) quasiparticles (qp) [29] It derives a set of equations yielding a basis of orthonormal multiphonon states, built of phonons obtained in TammDancoff approximation (TDA), and, solves the full eigenvalue problem in the space spanned by such a basis. It takes the Pauli principle into full account and does not rely on any approximation. The comparison of the results with the experimental data and the analysis of the phonon composition contributes to disclose the nature of the states and shows the limits of the adopted potential
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