Effect of the spin-orbit potential on the single particle levels in the superheavy region

Tanaka, Y.; Oda, Y.; Petrovich, F.; Sheline, R.K.

doi:10.1016/0370-2693(79)91107-9

Cited by 38 publications

(31 citation statements)

References 13 publications

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“…It is very likely that the main factor contributing to this difference is the spin-orbit interaction, or rather its isospin dependence [30,59,[62][63][64]. The role of the spin-orbit potential in determining the stability of SHE was posed already in the seventies [87,88]. The experimental determination of the centre of shell stability in the region of SHE will, therefore, be of extreme importance for pinning down the question of the spin-orbit force.…”

Section: Discussionmentioning

confidence: 99%

Shell corrections of superheavy nuclei in self-consistent calculations

et al. 2000

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Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton continuum resulting in a free particle gas, special attention is paid to the treatment of single-particle level density. To cure the pathological behavior of shell correction around the particle threshold, the method based on the Green's function approach has been adopted. It is demonstrated that for the vast majority of Skyrme interactions commonly employed in nuclear structure calculations, the strongest shell stabilization appears for Z=124, and 126, and for N =184. On the other hand, in the relativistic approaches the strongest spherical shell effect appears systematically for Z=120 and N =172. This difference has probably its roots in the spin-orbit potential. We have also shown that, in contrast to shell corrections which are fairly independent on the force, macroscopic energies extracted from self-consistent calculations strongly depend on the actual force parametrisation used. That is, the A and Z dependence of mass surface when extrapolating to unknown superheavy nuclei is prone to significant theoretical uncertainties. PACS number(s): 21.10. Dr, 21.10.Pc, 21.60.Jz, 27.90.+b

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Section: Discussionmentioning

confidence: 99%

Shell corrections of superheavy nuclei in self-consistent calculations

et al. 2000

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“…To calculate the total partition function Z we use the macroscopic-microscopic nuclear level density of [2]. The average occupancy f is computed from BCS occupation numbers based on single particle levels from an axially symmetric deformed Saxon-Woods potential [3] with parameters from [4] which reproduce experimental data well [5,6]. All major shells up to 11hω were included which allows to extend our calculations way beyond the previously studied pf +g 9/2 shell.…”

Section: Methodsmentioning

confidence: 99%

Parity-Dependence in the Nuclear Level Density

et al. 2005

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“…The results are obtained with a deformed, axially symmetric Woods-Saxon potential [35]. The deformation independent Woods-Saxon parameters (well depth, skin thickness, radius and spin-orbit constants) are taken from [36]. This parameterization of the Woods-Saxon potential was used previously in different RPA calculations, where a good agreement was achieved with experimental data, in particular for single M1 transitions at low energy, observed in (e, e ′ ) and (γ, γ ′ ) experiments [38,39].…”

Section: Calculation and Discussionmentioning

confidence: 99%

“…H 0 denotes the Hamiltonian for the quasiparticle mean field described by a deformed axiallysymmetric Woods-Saxon potential [36] …”

Section: Formalism Of the Deformed Qrpamentioning

confidence: 99%

Two-neutrino double beta decay of 76Ge within deformed QRPA

2004

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The effect of deformation on the two-neutrino double decay (2νββ-decay) for ground state transition 76 Ge → 76 Se is studied in the framework of the deformed QRPA with separable Gamow-Teller residual interaction. A new suppression mechanism of the 2νββ-decay matrix element based on the difference in deformations of the initial and final nuclei is included. An advantage of this suppression mechanism in comparison with that associated with ground state correlations is that it allows a simultaneous description of the single β and the 2νββ-decay. By performing a detail calculation of the 2νββ-decay of 76 Ge, it is found that the states of intermediate nucleus lying in the region of the Gamow-Teller resonance contribute significantly to the matrix element of this process.

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Effect of the spin-orbit potential on the single particle levels in the superheavy region

Cited by 38 publications

References 13 publications

Shell corrections of superheavy nuclei in self-consistent calculations

Shell corrections of superheavy nuclei in self-consistent calculations

Parity-Dependence in the Nuclear Level Density

Two-neutrino double beta decay of 76Ge within deformed QRPA

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