Microscopic description of the excitation of some states in the 90,92,94,96Zr isotopes

Hören, D.J.; Satchler, G.R.; Fayans, S.A.; Trykov, E.L.

doi:10.1016/0375-9474(96)00032-2

Cited by 29 publications

(26 citation statements)

References 41 publications

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“…The α-decay chain of 295 119 contains the elements with Z ≤ 115 whose αdecay energies are known experimentally [1]. The calculated and measured energies of α-decays of 287 Mc, 283 Nh, and 279 Rg are in a good agreement.…”

Section: Mass Excesses and Q α -Valuesmentioning

confidence: 64%

“…In 291 Ts, both the ground 13/2 + [606] and the isomeric 3/2 − [511] states are populated in the α-decay chain of 295 119. The α-decays from these states are hindered because in 287 Mc the 13/2 + [606] state is at about 0.5 MeV and 3/2 − [511] state has E pq > 1 MeV. So, the future data on the α-decay of 291 Ts would be useful to conclude if the predictions of Ref.…”

Section: Mass Excesses and Q α -Valuesmentioning

confidence: 99%

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Self-consistent methods for structure and production of heavy and superheavy nuclei

et al. 2021

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Self-consistent methods for the structure of heavy and superheavy nuclei are reviewed. The construction and application of energy-density functionals are discussed. The relationship between the self-consistent methods and microscopic-macroscopic approaches is considered on the mean-field level. The extraction of single-particle potentials from the energy-density functional is described. The isotopic dependence of nucleon distributions and its influence on the nucleus-nucleus interaction is analyzed. As a new additional condition we introduce that the energy-density functional must describe the heights of the Coulomb barriers in nucleusnucleus interaction potentials, thus imposing constraints on the properties of the functional at low matter densities. The self-consistent methods are applied to describe the quasiparticle structure, cluster radioactivity, and fission of the heaviest nuclei. These methods are used to predict the probabilities of β-delayed multi-neutron emission and half-lives of β-decays and electron captures in heavy and superheavy nuclei. The predicted properties of superheavy nuclei are used to estimate the production cross-sections of superheavy nuclei in complete fusion reactions. Contents

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Section: Mass Excesses and Q α -Valuesmentioning

confidence: 64%

Section: Mass Excesses and Q α -Valuesmentioning

confidence: 99%

Self-consistent methods for structure and production of heavy and superheavy nuclei

et al. 2021

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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%

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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“…Refs. [20,21,45] for more details). There is no momentum dependence in these parts, therefore we have the effective mass m * equal to the bare mass m. The surface term involves a finite, but small Yukawa range parameter R = 0.35 fm; in the limit R → 0 it could be written with the help of the Laplace operator acting on functions of the density.…”

Section: The Normal Part Of the Functionalmentioning

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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Microscopic description of the excitation of some states in the 90,92,94,96Zr isotopes

Cited by 29 publications

References 41 publications

Self-consistent methods for structure and production of heavy and superheavy nuclei

Self-consistent methods for structure and production of heavy and superheavy nuclei

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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