Single-particle energies and wave functions for the saxon-woods potential and the levels of odd-A nuclei in the actinide region

Gareev, F.A.; Иванова, С.П.; Malov, L.A.; Soloviev, V.G.

doi:10.1016/0375-9474(71)90368-x

Cited by 92 publications

(51 citation statements)

References 30 publications

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“…The omission of these correlations does not change the general form of the system Hamiltonian and the analytical expressions of K and . For both calculations, single-particle energies and wave functions were computed by using the deformed axially symmetric WoodsSaxon potential [16,17] following the procedure outlined in Ref. [11].…”

Section: Resultsmentioning

confidence: 99%

The ground-state magnetic moments of odd-mass Hf isotopes

et al. 2014

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Abstract:In this paper the Quasiparticle-Phonon Nuclear Model (QPNM), based on QRPA (Quasiparticle Random Phase Approximation) phonons, has been utilized to investigate spin polarization effects on the groundstate magnetic properties such as intrinsic magnetic moment ( K ) and effective spin gyromagnetic factor ( ) of odd-mass deformed 165−179 Hf isotopes with K > 1/2. Investigations of the spin polarization effects of the even core on the magnetic moments show that the spin gyromagnetic factors ( ) of the nucleons in the nucleus differ noticeably from the corresponding values for free nucleons and that the spin-spin interactions play an important role in the re-normalization of factors of the odd-mass 165−179 Hf isotopes. In addition, some theoretical predictions are presented for the magnetic moments of 165 Hf, 167 Hf, and 169 Hf, whose ground state magnetic moments haven't been experimentally determined yet. PACS

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Section: Resultsmentioning

confidence: 99%

The ground-state magnetic moments of odd-mass Hf isotopes

et al. 2014

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“…In the analogous case of particles in a magnetic field, Φ β is the magnetic flux in units of the elementary flux quantum. The rotation manifests itself in the appearance of an additional modulation factor M in the expressions for the level density (18) and the shell energy (22). The modulation factor is given by the average of exp(iΦ) over all orbits of the same length, which belong to the family β.…”

Section: F Influence Of Rotationmentioning

confidence: 99%

Gross shell structure at high spin in heavy nuclei

Deleplanque¹,

Frauendorf

Pashkevich

et al. 2004

Phys. Rev. C

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Experimental nuclear moments of inertia at high spins along the yrast line have been determined systematically and found to differ from the rigid-body values. The difference is attributed to shell effects and these have been calculated microscopically. The data and quantal calculations are interpreted by means of the semiclassical Periodic Orbit Theory. From this new perspective, features in the moments of inertia as a function of neutron number and spin, as well as their relation to the shell energies can be understood. Gross shell effects persist up to the highest angular momenta observed.

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“…So far, no similar studies are available in deformed nuclei in the PVC models based on relativistic or non-relativistic DFT because of the complexity of the problem. However, the calculations within the quasiparticle-phonon model based on phenomenological Woods-Saxon potential indicate that the lowest states of odd-mass actinides have mainly quasiparticle nature [80,81] and that the corrections to their energies due to PVC are typically less than 150 keV [82]. These corrections will definitely have impact on the ∆ (3) indicators.…”

Section: A Formalismmentioning

confidence: 99%

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

2013

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The cranked relativistic Hartree-Bogoliubov (CRHB) theory has been applied for a systematic study of pairing and rotational properties of actinides and light superheavy nuclei. Pairing correlations are taken into account by the Brink-Booker part of finite range Gogny D1S force. For the first time in the covariant density functional theory (CDFT) framework the pairing properties are studied via the quantities (such as three-point ∆ (3) indicators) related to odd-even mass staggerings. The investigation of the moments of inertia at low spin and the ∆ (3) indicators shows the need for an attenuation of the strength of the Brink-Booker part of the Gogny D1S force in pairing channel. The investigation of rotational properties of even-even and odd-mass nuclei at normal deformation, performed in the density functional theory framework in such a systematic way for the first time, reveals that in the majority of the cases the experimental data are well described. These include the evolution of the moments of inertia with spin, band crossings in the A ≥ 242 nuclei, the impact of the particle in specific orbital on the moments of inertia in odd-mass nuclei. The analysis of the discrepancies between theory and experiment in the band crossing region of A ≤ 240 nuclei suggests the stabilization of octupole deformation at high spin, not included in the present calculations. The evolution of pairing with deformation, which is important for the fission barriers, has been investigated via the analysis of the moments of inertia in the superdeformed minimum. The dependence of the results on the CDFT parametrization has been studied by comparing the results of the calculations obtained with the NL1 and NL3* parametrizations.

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Single-particle energies and wave functions for the saxon-woods potential and the levels of odd-A nuclei in the actinide region

Cited by 92 publications

References 30 publications

The ground-state magnetic moments of odd-mass Hf isotopes

The ground-state magnetic moments of odd-mass Hf isotopes

Gross shell structure at high spin in heavy nuclei

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

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