Electric quadrupole and magnetic dipole moments of odd nuclei near the magic ones in a self-consistent approach

Có, G.; Donno, V. De; Anguiano, M.; Bernard, R.; Lallena, A. M.

doi:10.1103/physrevc.92.024314

Cited by 18 publications

(14 citation statements)

References 35 publications

(115 reference statements)

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“…Odd nuclei are also naturally in reach of nuclear DFT, see e.g. [17][18][19][20][21][22][23][24], although complicated by the need of blocking and scanning a large amount of competing configurations [25]. So far, odd nuclei had a minority application in the world of nuclear DFT and, to the best of our knowledge, the topic of transition strengths between the s.p.…”

Section: Introductionmentioning

confidence: 99%

Electric and Magnetic Moments and Transition Probabilities in $^{208}$Pb $\pm 1$ Nuclei

Tselyaev¹,

Lyutorovich²,

Speth³

et al. 2022

Preprint

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We present moments and transition probabilities in the neighboring odd-mass nuclei of 208 Pb calculated fully self-consistently from the s.p. properties of 208 Pb with polarization corrections from its excitations, both given from previous Skyrme-Hartree-Fock and RPA calculations. The electric results agree nicely with the data with two very interesting exceptions. In the magnetic case we obtain similar results. We discuss also polarization contributions to the l-forbidden M 1 transitions, which are, however, much too small compared to the data. With a modified external field operator which accounts effectively for mesonic and many-body effects the description of the data can be substantially improved.

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Section: Introductionmentioning

confidence: 99%

Electric and Magnetic Moments and Transition Probabilities in $^{208}$Pb $\pm 1$ Nuclei

Tselyaev¹,

Lyutorovich²,

Speth³

et al. 2022

Preprint

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“…In odd nuclei, the EMPM can be considered a generalization of the particle-vibration coupling (PVC) model [45] widely exploited in studies using the random-phase-approximation (RPA) and its extensions [46][47][48][49][50][51][52][53][54][55]. Many investigations exploited energy density functionals (EDF) derived from Skyrme forces [56][57][58][59][60][61][62] or based on the theory of finite Fermi systems [63], or deduced from relativistic meson-nucleon Lagrangians [64][65][66][67].…”

Section: Introductionmentioning

confidence: 99%

Microscopic multiphonon approach to spectroscopy in the neutron-rich oxygen region

et al. 2018

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Background:A fairly rich amount of experimental spectroscopic data have disclosed intriguing properties of the nuclei in the region of neutron rich oxygen isotopes up to the neutron dripline. They, therefore, represent a unique laboratory for studying the evolution of nuclear structure away from the stability line. Purpose: We intend to give an exhaustive microscopic description of low and high energy spectra, dipole response, weak, and electromagnetic properties of the even 22 O and the odd 23 O and 23 F. Method: An equation of motion phonon method generates an orthonormal basis of correlated n-phonon states (n = 0,1,2, . . . ) built of constituent Tamm-Dancoff phonons. This basis is adopted to solve the full eigenvalue equations in even nuclei and to construct an orthonormal particle-core basis for the eigenvalue problem in odd nuclei. No approximations are involved and the Pauli principle is taken into full account. The method is adopted to perform self-consistent, parameter free, calculations using an optimized chiral nucleon-nucleon interaction in a space encompassing up to two-phonon basis states. Results: The computed spectra in 22 O and 23 O and the dipole cross section in 22 O are in overall agreement with the experimental data. The calculation describes poorly the spectrum of 23 F. Conclusions: The two-phonon configurations play a crucial role in the description of spectra and transitions. The large discrepancies concerning the spectra of 23 F are ultimately traced back to the large separation between the Hartree-Fock levels belonging to different major shells. We suggest that a more compact single particle spectrum is needed and can be generated by a new chiral potential which includes explicitly the contribution of the three-body forces.

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“…In recent years, in fact, several formulations of the PVC, routed in the density energy functional (DEF) theory, have been proposed for this purpose. The functionals adopted were derived from Skyrme forces [18][19][20][21][22][23][24] or from relativistic meson-nucleon Lagrangians [25][26][27][28] or based on Landau-Migdal theory [29].…”

Section: Introductionmentioning

confidence: 99%

A microscopic multiphonon approach to even and odd nuclei

et al. 2017

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The formalism of an equation of motion phonon method is briefly outlined. In even-even nuclei, the method derives equations of motion which generate an orthonormal basis of correlated n-phonon states (n=0, 1, 2, ...), built of constituent Tamm-Dancoff phonons, and, then, solves the nuclear eigenvalue problem in such a multiphonon basis. In odd nuclei, analogous equations yield a basis of correlated orthonormal multiphonon particle-core states to be used for the solution of the full eigenvalue equations. The formalism does not rely on approximations, but lends itself naturally to simplifying assumptions. As illustrated here, the method has been implemented numerically for studying the electric dipole response in the heavy neutron rich 208 Pb and 132 Sn and in the odd 17 O and 17 F. Self-consistent calculations, using a chiral inspired Hamiltonian, have confirmed the important role of the multiphonon states in enhancing the fragmentation of the strength in the giant and pygmy resonance regions consistently with the experimental data.

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Electric quadrupole and magnetic dipole moments of odd nuclei near the magic ones in a self-consistent approach

Cited by 18 publications

References 35 publications

Electric and Magnetic Moments and Transition Probabilities in $^{208}$Pb $\pm 1$ Nuclei

Electric and Magnetic Moments and Transition Probabilities in $^{208}$Pb $\pm 1$ Nuclei

Microscopic multiphonon approach to spectroscopy in the neutron-rich oxygen region

A microscopic multiphonon approach to even and odd nuclei

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