Nuclear isotope shifts within the local energy-density functional approach

Fayans, S.A.; Tolokonnikov, S. V.; Trykov, E.L.; Zawischa, D.

doi:10.1016/s0375-9474(00)00192-5

Cited by 295 publications

(348 citation statements)

References 94 publications

(233 reference statements)

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“…However, if one stays in the Dirac basis the latter dimension is exactly the rank of arrays in the Eq. (43). One should bear in mind that in practice both subspaces (ph and αh) are truncated at some energy differences ε ph and ε αh which are large enough so that a further increase of these values does not influence the results.…”

Section: B Choice Of Representation and Basic Approximationsmentioning

confidence: 99%

Particle-vibration coupling within covariant density functional theory

2007

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Covariant density functional theory, which has so far been applied only within the framework of static and time dependent mean field theory is extended to include Particle-Vibration Coupling (PVC) in a consistent way. Starting from a conventional energy functional we calculate the lowlying collective vibrations in Relativistic Random Phase Approximation (RRPA) and construct an energy dependent self-energy for the Dyson equation. The resulting Bethe-Salpeter equation in the particle-hole (ph) channel is solved in the Time Blocking Approximation (TBA). No additional parameters are used and double counting is avoided by a proper subtraction method. The same energy functional, i.e. the same set of coupling constants, generates the Dirac-Hartree singleparticle spectrum, the static part of the residual ph-interaction and the particle-phonon coupling vertices. Therefore a fully consistent description of nuclear excited states is developed. This method is applied for an investigation of damping phenomena in the spherical nuclei with closed shells 208 Pb and 132 Sn. Since the phonon coupling terms enrich the RRPA spectrum with a multitude of ph⊗phonon components a noticeable fragmentation of the giant resonances is found, which is in full agreement with experimental data and with results of the semi-phenomenological non-relativistic approach.

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Section: B Choice Of Representation and Basic Approximationsmentioning

confidence: 99%

Particle-vibration coupling within covariant density functional theory

2007

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“…In Ref. [9], the above equations were solved in the selfconsistent λ-basis of the EDF by Fayans et al [17,18]. Two sets of the functional were used, the original one DF3 [18] and its modification DF3-a [19].…”

Section: The Semi-microscopic Model For Nuclear Pairingmentioning

confidence: 99%

Anab initiotheory of double odd-even mass differences in nuclei

Saperstein

Baldo

Gnezdilov

et al. 2012

EPJ Web of Conferences

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Abstract. Two aspects of the problem of evaluating double odd-even mass differences D 2 in semi-magic nuclei are studied related to existence of two components with different properties, a superfluid nuclear subsystem and a non-superfluid one. For the superfluid subsystem, the difference D 2 is approximately equal to 2∆, the gap ∆ being the solution of the gap equation. For the non-superfluid subsystem, D 2 is found by solving the equation for two-particle Green function for normal systems. Both equations under consideration contain the same effective pairing interaction. For the latter, the semi-microscopic model is used in which the main term calculated from the first principles is supplemented with a small phenomenological addendum containing one phenomenological parameter supposed to be universal for all medium and heavy atomic nuclei.

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“…The complete Hilbert space of the problem is split into the model subspace of low-energy states and the complementary one. The gap equation is solved in the model space with the effective pairing interaction (EPI) V eff , which is found in the complementary subspace in terms of the initial NN potential V. The self-consistent basis of the energy density functional (EDF) by Fayans et al [16][17][18][19] was used, which is characterized with the bare mass m * = m. The set DF3 of the EDF parameters [17,19] was chosen, or its modified version DF3-a [20]. The modification concerns the spin-orbit and effective tensor terms of the Fayans EDF.…”

Section: Introductionmentioning

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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Nuclear isotope shifts within the local energy-density functional approach

Cited by 295 publications

References 94 publications

Particle-vibration coupling within covariant density functional theory

Particle-vibration coupling within covariant density functional theory

Anab initiotheory of double odd-even mass differences in nuclei

Phonon effects on the double mass differences in magic nuclei

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