2014
DOI: 10.1088/0031-8949/89/5/054027
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Alpha-particle formation and decay rates from Skyrme–HFB wave functions

Abstract: Abstractα decay is treated microscopically, where the unstable mother nucleus and residual daughter nucleus are described using HFB wave functions, obtained with the Skyrme effective interaction. From these wave functions the amplitude for forming α particles in the mother nucleus is computed. Two different Skyrme parametrizations with different pairing properties are compared, and we find good agreement with experiment for relative decay rates in both cases. The absolute values of the decay rates are under-es… Show more

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Cited by 6 publications
(4 citation statements)
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References 25 publications
(56 reference statements)
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“…However, the calculated formation amplitude is still several of orders of magnitude too small in comparison to experimental data. The application of the recently refined functional seems to make the discrepancy even worse [207]. Further investigation along this line would be interesting to understand the origin of the discrepancy, which may shed additional light on the constraint of the density functional.…”
Section: Bcs Treatment Of Alpha Decay and Pairing Correlationmentioning
confidence: 97%
See 1 more Smart Citation
“…However, the calculated formation amplitude is still several of orders of magnitude too small in comparison to experimental data. The application of the recently refined functional seems to make the discrepancy even worse [207]. Further investigation along this line would be interesting to understand the origin of the discrepancy, which may shed additional light on the constraint of the density functional.…”
Section: Bcs Treatment Of Alpha Decay and Pairing Correlationmentioning
confidence: 97%
“…The Skyrme-Hartree-Fock single-particle wave functions were applied to calculate the α formation amplitudes in even-even nuclei in Refs. [206,207] and even-odd nuclei [208]. However, the calculated formation amplitude is still several of orders of magnitude too small in comparison to experimental data.…”
Section: Bcs Treatment Of Alpha Decay and Pairing Correlationmentioning
confidence: 99%
“…However, the calculated formation amplitude is still several of orders of magnitude too small in comparison to experimental data. The application of the recently refined functional seems to make the discrepancy even worse [45]. Further investigation along this line would be interesting to understand the origin of the discrepancy, which may shed additional light on the constraint of the density functional.…”
Section: The Single-particle Basis and The Hartree-fock Wave Functionmentioning
confidence: 97%
“…Significant progress has also been made in the development of nuclear density functional approaches which are now able to provide a reasonable description of ground state binding energies and densities throughout the nuclear chart, even though the description of the single-particle spectroscopy is still less satisfactory. The Skyrme-Hartree-Fock single-particle wave functions were applied to calculate the α formation amplitudes in both even-even nuclei [44,45] and even-odd nuclei [46]. However, the calculated formation amplitude is still several of orders of magnitude too small in comparison to experimental data.…”
Section: The Single-particle Basis and The Hartree-fock Wave Functionmentioning
confidence: 99%