Finite Fermi systems theory and self-consistency relations

Khodel, V. A.; Saperstein, É. E.

doi:10.1016/0370-1573(82)90018-7

Cited by 191 publications

(229 citation statements)

References 81 publications

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“…A method to find the tadpole term for low-lying surface phonons was developed by Khodel [37] and is described in detail in [38]. It is equal to…”

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

“…(35) (r). Indeed, all the L phonons we consider are the surface vibrations which belong to the Goldstone mode corresponding to the spontaneous breaking of the translation symmetry in nuclei [37,38]. For the ghost phonon, L = 1, ω 1 = 0, which is the lowest-energy member of this mode, Eq.…”

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

“…The first, surface term on the right-hand side of Eq. (38) corresponds to the BM model for the surface vibrations [29], the amplitude α L being related to the dimensionless BM amplitude β L as follows: α L = Rβ L / √ 2L + 1, where R = r 0 A 1/3 is the nucleus radius, and r 0 = 1.2 fm. Figure 3 demonstrates the smallness of the in-volume term of g L (r) in the case of the 3 − 1 -state in 208 Pb, which is the most collective state in this nucleus.…”

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

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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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“…A method to find the tadpole term for low-lying surface phonons was developed by Khodel [37] and is described in detail in [38]. It is equal to…”

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

Section: Particle-phonon Coupling Contributions To Double Mass Difmentioning

confidence: 99%

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Phonon effects on the double mass differences in magic nuclei

et al. 2016

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“…E.g., the effective mass in this approach is a product m * =m * k · m * E of the "k-mass" and the "E-mass". The two effects compensate each other almost exactly [18] resulting in m * 1.…”

Section: Introductionmentioning

confidence: 99%

“…The use of the bare mass, m * =m, is another peculiarity of the Fayans method. Both features of this approach are closely related to the self-consistent Theory of Finite Fermi Systems (TFFS) [18]. The latter is based on general principles of the TFFS [19] supplemented with the TFFS selfconsistency relations [20].…”

Section: Introductionmentioning

confidence: 99%

Fayans functional for deformed nuclei. Uranium region

Tolokonnikov

Borzov

Kortelainen

et al. 2016

EPJ Web of Conferences

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Abstract. Fayans energy density functional (EDF) FaNDF 0 has been applied to the nuclei around uranium region. Ground state characteristics of the Th, U and Pu isotopic chains, up to the two-neutron drip line, are found and compared with predictions from several Skyrme EDFs. The two-neutron drip line is found for FaNDF 0 , SLy4 and SkM * EDFs for a set of elements with even proton number, from Pb up to Fm.

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