Influence of effective spin-orbit interaction on the collective states of nuclei

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

doi:10.1016/0375-9474(94)90392-1

Cited by 41 publications

(33 citation statements)

References 25 publications

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“…11c). From Table IV [24,[49][50][51][52]. In particular, it was shown by Sil et al [24] that the effects of self-consistency violation associated with neglecting the particle-hole spin-orbit and Coulomb interactions in HF-based RPA calculations can shift giant resonance energies by hundreds of keV.…”

Section: A 3 Mevmentioning

confidence: 99%

Isoscalar giant resonances inCa48

et al. 2011

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The giant resonance region from 9.5 MeV < E x < 40 MeV in 48 Ca has been studied with inelastic scattering of 240 MeV α particles at small angles, including 0º. 95±11% of E0 energy weighted sum rule (EWSR), 10 16 83 + − % of E2 EWSR and 137±20% of E1 EWSR were located below E x = 40 MeV. A comparison of the experimental data with calculated results for the isoscalar giant monopole resonance, obtained within the mean-field based random phase approximation, is also given.

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Section: A 3 Mevmentioning

confidence: 99%

Isoscalar giant resonances inCa48

et al. 2011

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“…Compared to the Skyrme functional, Fayans FaNDF 0 [17,27], DF3 [15,18,28,29], and DF3-a [30] EDFs have a more complex dependence on particle densities that stems from a fractional form of their density-dependent couplings, novel folding/density-gradient terms, and Coulomb-nuclear correlation term. The kinetic energy and Coulomb Hartree terms of Fayans EDF are exactly the same as in the Skyrme model.…”

Section: The Fayans Functionalmentioning

confidence: 99%

“…Moreover, the dependence of E s Fy on the isovector density x 1 should be considered, as the current parametrization cannot account for the surfacesymmetry effects. Another strategy worth exploring is to replace the surface term (11) by the folded DF3 expression [15,28,29].…”

Section: Correlationsmentioning

confidence: 99%

“…While the commonly used energy density functionals offer a very reasonable description of charge radii [10][11][12][13] they often miss local fluctuations and dramatically underestimate odd-even effect in radii. In this context, the EDF developed by S.A. Fayans and collaborators [14][15][16][17][18] stands out as it has demonstrated a rare ability to describe charge radii in isotopic chains of semi-magic spherical nuclei, including the challenging Ca chain. A notable achievement of the Fayans model has been to explain the odd-even staggering effect in charge radii in terms of the density-dependent nucleonic pairing [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Toward a global description of nuclear charge radii: Exploring the Fayans energy density functional

Reinhard¹,

Nazarewicz²

2017

Phys. Rev. C

112

102

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Background: Binding energies and charge radii are fundamental properties of atomic nuclei. When inspecting their particle-number dependence, both quantities exhibit pronounced odd-even staggering. While the odd-even effect in binding energy can be attributed to nucleonic pairing, the origin of staggering in charge radii is less straightforward to ascertain.Purpose: In this work, we study the odd-even effect in binding energies and charge radii, and systematic behavior of differential radii, to identify the underlying components of the effective nuclear interaction.Method: We apply nuclear density functional theory using a family of Fayans and Skyrme energy density functionals fitted to similar datasets but using different optimization protocols. We inspect various correlations between differential charge radii, odd-even staggering in energies and radii, and nuclear matter properties. Detailed analysis is carried out for medium-mass and heavy semi-magic nuclei with a particular focus on the Ca chain.Results: By making the surface and pairing terms dependent on density gradients, the Fayans functional offers the superb simultaneous description of odd-even staggering effects in energies and charge radii. Conversely, when the data on differential radii are added to the pool of fit-observables, the coupling constants determining the strengths of the gradient terms of Fayans functional are increased by orders of magnitude. The Skyrme functional optimized in this work with the generalized Fayans pairing term offers results of similar quality. We quantify these findings by performing correlation analysis based on the statistical linear regression technique. The nuclear matter parameters characterizing Fayans and Skyrme functionals optimized to similar datasets are fairly close. Conclusion:Fayans paring functional, with its generalized density dependence, significantly improves description of charge radii in odd and even nuclei. Adding differential charge radii to the set of fit-observables in the optimization protocol is helpful for both description of radii and for improving pairing functional. In particular, Fayans functional constrained in this way is capable of explaining charge radii in the even-even Ca isotopes. However, in order to obtain good description of differential radii data in both medium-mass and heavy nuclei, an A-dependent scaling of Fayans pairing functional is still needed. Various extensions of the current model are envisioned that carry out a promise for the global description.

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“…In a recent paper [21] the EDF method has been applied to magic nuclei 40,48 Ca and 208 Pb, investigating especially the influence of the spin-orbit interaction on collective states. Besides demonstrating the importance of including the two-body spin orbit force for the consistency of the method in describing the excited states, with the chosen set of parameters good results on the ground state properties have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Nuclear isotope shifts within the local energy-density functional approach

et al. 2000

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The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in charge radii. For a few isotope chains of spherical nuclei, the calculations are performed with an exact treatment of the Gor'kov equations in the coordinate-space representation. A zero-range cutoff density-dependent pairing interaction with a density-gradient term is used. The evolution of charge radii and nucleon separation energies is reproduced reasonably well including kinks at magic neutron numbers and sizes of staggering. It is shown that the density-dependent pairing may also induce sizeable staggering and kinks in the evolution of the mean energies of multipole excitations. The results are compared with the conventional mean field Skyrme-HFB and relativistic Hartree-BCS calculations. With the formulated approach, an extrapolation from the pairing properties of finite nuclei to pairing in infinite matter is considered, and the dilute limit near the critical point, at which the regime changes from weak to strong pairing, is discussed. 21.65.+f; 21.90.+f; 24.10.Cn PACS

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Influence of effective spin-orbit interaction on the collective states of nuclei

Cited by 41 publications

References 25 publications

Isoscalar giant resonances inCa48

Isoscalar giant resonances inCa48

Toward a global description of nuclear charge radii: Exploring the Fayans energy density functional

Nuclear isotope shifts within the local energy-density functional approach

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