Effect of nuclear structure on the single particle β− transitions in deformed nuclei

Řízek, J.; Ryšavý, M.; Brabec, V.

doi:10.1007/bf01691685

Cited by 4 publications

(5 citation statements)

References 27 publications

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“…Our calculation [14] in a frame of the Nilsson single-particle model led to a linear shape factor, the magnitude of which reached only 0.08% over the β-spectrum part analysed in this work. The ground states of odd deformed nuclei are well described by the single-particle approximation, the phonon admixtures being rather small [15].…”

Section: Introductionmentioning

confidence: 52%

“…The ground states of odd deformed nuclei are well described by the single-particle approximation, the phonon admixtures being rather small [15]. We also checked [14] that reasonable changes of the Nilsson potential parameters do not substantially influence the calculated nuclear shape factor. (iv) The 241 Pu β-decay does not lead to a stable daughter nucleus.…”

Section: Introductionmentioning

confidence: 85%

“…The F (E, Z) is the product of the Fermi function, the nuclear shape factor and the radiative correction factor for a particular β-transition. The Fermi function was obtained using our program [24], the nuclear shape factor was determined [14] in the framework of the singleparticle Nilsson model and the radiative correction was calculated according the expression given in [25]. It turned out that for the investigated β-transition in 241 Pu, the last two effects result in a linear correction the magnitude of which does not exceed 0.1% for electron energies between 0 and 9 keV [14].…”

Section: β-Spectrum Shapementioning

confidence: 99%

See 2 more Smart Citations

Search for an admixture of heavy neutrinos in the beta-decay of²⁴¹Pu

Dragoun

Špalek

Ryšavý

et al. 1999

J. Phys. G: Nucl. Part. Phys.

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The β-spectrum of 241 Pu with the endpoint energy of 20.8 keV was measured in the energy range from 0.2 to 9.2 keV. The spectra were recorded during 5700 h with an electrostatic spectrometer set to a resolution of E/E = 0.011. Electron energy losses within the radioactive source were treated by means of extensive Monte Carlo simulations of individual elastic and inelastic electron collisions. The upper limit for the admixture of hypothetical neutrinos with the rest masses between 14 and 17 keV/c 2 was derived to be less than 0.40% (the lowest limit being 0.10% for the 16 keV/c 2 mass) at the 95% C.L., independently of any free phenomenological parameter.

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Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 85%

Section: β-Spectrum Shapementioning

confidence: 99%

See 1 more Smart Citation

Search for an admixture of heavy neutrinos in the beta-decay of²⁴¹Pu

Dragoun

Špalek

Ryšavý

et al. 1999

J. Phys. G: Nucl. Part. Phys.

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“…The accuracy of the ξ approximation is ∼1/ξ , better than 1% in the present case. Moreover, the theoretical shape factor of this transition was already studied through complete calculation of the nuclear matrix elements [24]. Its influence increases linearly with the energy, not higher than 0.3% at the endpoint and 0.1% below 8 keV.…”

Section: Discussionmentioning

confidence: 99%

Evidence for the exchange effect in theβdecay of241Pu

et al. 2012

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The exchange effect has been previously given as a possible explanation for a significant deviation from an allowed shape observed at low energy in the 241 Pu β spectrum. Calculations set out here confirm that this atomic effect explains a large part of this deviation. The equations needed to calculate the exchange effect are detailed, as well as the evaluation of the confluent hypergeometric function for complex arguments of large magnitudes. After a review of the possible other effects that could explain the remaining discrepancy at low energy, the screening correction using effective nuclear charges seems to be the best explanation. For radionuclides with high Z, this work has demonstrated the necessity to take into account the spatial variation of the nuclear charge experienced by the ejected electron to accurately correct for the screening effect.

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“…The accuracy of the ξ approximation is ∼ E 0 /ξ, better than 0.5 % in the present case. Moreover, the theoretical shape factor of this transition was already studied through a complete calculation of the nuclear matrix elements in the framework of the Nilsson model [19]. Its influence increases linearly with the energy, but no higher than 0.3 % at the endpoint and 0.1 % below 8 keV.…”

Section: Energymentioning

confidence: 99%