Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum

Литвинова, Елена; Ring, P.

doi:10.1103/physrevc.73.044328

Cited by 172 publications

(262 citation statements)

References 32 publications

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“…This probably cannot be achieved just by fitting theoretical single-particle energies to experimental data because many of the experimental single-particle states are strongly fragmented by particle-vibrational coupling, in particular in spherical nuclei [7,42]. Therefore, the inclusion of the single-particle information into the fitting protocols of CEDF's is at the moment at its infancy [48,51].…”

Section: Discussionmentioning

confidence: 99%

“…Many physical observables related to the ground state properties (binding energies, charge radii, deformations, neutron skin thicknesses, the positions of drip lines etc [3]) and the properties of excited states (moments of inertia [11], the energies of (predominantly) single-particle states [7,42,45], fission barriers [46,47] etc) have been studied either globally or at least systematically in a specific region of the nuclear chart. Theoretical uncertainties for many physical observables have been defined.…”

Section: Discussionmentioning

confidence: 99%

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Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

et al. 2015

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The sources of theoretical uncertainties in the prediction of the two-neutron drip line are analyzed in the framework of covariant density functional theory. We concentrate on single-particle and pairing properties as potential sources of these uncertainties. The major source of these uncertainties can be traced back to the differences in the underlying single-particle structure of the various covariant energy density functionals (CEDF). It is found that the uncertainties in the description of single-particle energies at the two-neutron drip line are dominated by those existing already in known nuclei. Only approximately one third of these uncertainties are due to the uncertainties in the isovector channel of CEDF's. Thus, improving the CEDF description of single-particle energies in known nuclei will also reduce the uncertainties in the prediction of the position of two-neutron drip line. The predictions of pairing properties in neutron rich nuclei depend on the CEDF. Although pairing properties affect moderately the position of the two-neutron drip line they represent only a secondary source for the uncertainties in the definition of the position of the two-neutron drip line.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

et al. 2015

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“…The PC effects in SPEs are analyzed particularly. In addition to the usual pole diagram, the consideration includes the so-called tadpole term which is usually ignored [33,34]. The latter is considered approximately, with neglecting the in-volume components of the vertex g L (r) of creating a surface L-phonon.…”

Section: Discussionmentioning

confidence: 99%

“…Let us stress once more a high accuracy of reproducing the experimental SPEs in 208 Pb: δε λ rms =0.38 (MeV). Indeed, the corresponding result [33], obtained within the RMF approach, is δε λ rms =0.85 MeV.…”

Section: Single-particle Spectra Of Magic Nucleimentioning

confidence: 99%

Self-consistent theory of finite Fermi systems vs Skyrme–Hartree–Fock method. Spherical nuclei

Saperstein

Tolokonnikov

2016

EPJ Web of Conferences

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Abstract. Recent results of the Fayans energy density functional (EDF) for spherical nuclei are reviewed. A comparison is made with predictions of several Skyrme EDFs. The charge radii and characteristics of the first 2 + excitations in semi-magic nuclei are briefly discussed. The single-particle spectra of doubly magic nuclei are considered in more detail. The phonon-particle coupling effects are analyzed including the tadpole term.

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“…Note also that recently PC corrections to the single-particle energies within different self-consistent approaches were studied in Refs. [32][33][34][35].…”

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

Phonon effects on the double mass differences in magic nuclei

et al. 2016

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Odd-even double mass differences (DMDs) of magic nuclei are found within an approach starting from the free NN interaction, accounting for particle-phonon coupling (PC) effects. We consider three PC effects: the phonon-induced effective interaction, the renormalization of the "ends" due to the pole PC contribution to the nucleon mass operator, and the change of the single-particle energies. The perturbation theory in g 2 L , where g L is the vertex of the creation of the L-multipole phonon, is used for PC calculations. PC corrections to single-particle energies are found with an approximate accounting for the tadpole diagram. Results for magic 40,48 Ca, 56,78 Ni, 100,132 Sn, and 208 Pb nuclei are presented. For the lighter part of this set of nuclei, from 40 Ca to 56 Ni, the cases divide approximately in half, between those where the PC corrections to DMD values are in good agreement with the data and the ones with the opposite result. In the major part of the cases of worsening description of DMD, a poor applicability of the perturbation theory for the induced interaction is the most probable reason of the phenomenon. For intermediate nuclei, 78 Ni and 100 Sn, there are no sufficiently accurate data on masses of nuclei necessary for finding DMD values. Finally, for heavier nuclei, 132 Sn and 208 Pb, PC corrections always result in better agreement with experiment.

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Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum

Cited by 172 publications

References 32 publications

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

Self-consistent theory of finite Fermi systems vs Skyrme–Hartree–Fock method. Spherical nuclei

Phonon effects on the double mass differences in magic nuclei

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