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Calculation of beta spectral shapes

Published online by Cambridge University Press:  26 September 2014

X. Mougeot ,
M.-M. Bé  and
C. Bisch
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Abstract

Classical beta spectra calculations are briefly described, highlighting the usualassumptions and limitations. To go beyond these usual assumptions, the numericalresolution of the Dirac equation for the atomic and beta electrons is necessary. Thisallowed us to determine the parameters λi involved in the theoretical shapefactors exactly. A systematic comparison between theoretical and experimental shapefactors led us to disqualify the usual λi = 1 assumption for all forbiddentransitions. The usual ξ-approximation was proved to be incorrect fornumerous first forbidden non-unique transitions, and for all higherorder non-uniquetransitions. A more accurate screening correction was defined and the atomic exchangeeffect was taken into account, an effect which is always neglected in usual calculations.The beta spectra of 63Ni and 241Pu, recently measured down to very low energies, arewell reproduced in our calculations. The exchange effect was demonstrated to have a greatinfluence on the spectral shape within this energy range.

Keywords

radiation, betabeta particle(s)129I58Co99Tc
Type
Article
Information
Radioprotection , Volume 49 , Issue 4 , October 2014 , pp. 269 - 273
Copyright
© EDP Sciences, 2014

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References

Bardiès, M., Chatal, J.-F. (1994) Absorbed doses for internal radiotherapy from 22 beta-emitting radionuclides: beta dosimetry of small spheres, Phys. Med. Biol. 39, 961-981. Google ScholarPubMed
Bé M.-M. et al. (2006) Table of Radionuclides, Monographie BIPM-5 (CEA/LIST-LNHB and BIPM, Eds.) Vol. 3, p. 29.
Bé M.-M. et al. (2008) Table of Radionuclides, Monographie BIPM-5 (CEA/LIST-LNHB and BIPM, Eds.) Vol. 4, p. 259.
Behrens H., Jänecke J. (1969) Numerical tables for beta-decay and electron capture, Landolt-Börnstein, Numerical Data and Functional Relationships in Science Technology, New Series, (Schopper H., Ed.) Vol 4. Springer-Verlag.
Behrens H., Szybisz L. (1976) Shapes of beta spectra, Physics Data, Zentralle fur Atomkernenergie-Dokumentation (ZAED) 6-1.
Behrens H., Bühring W. (1982) Electron radial wave functions and nuclear beta decay, Oxford Science Publications.
Bobin, C. et al. (2010) Application of a stochastic TDCR model based on Geant4 for Cherenkov primary measurements, Appl. Radiat. Isotopes 68, 2366-2371. Google ScholarPubMed
Boswell, C.A., Brechbiel, M.W. (2007) Development of Radioimmunotherapeutic and Diagnostic Antibodies: An Inside-Out View, Nucl. Med. Biol. 34, 757-778. Google Scholar
Broda, R. et al. (2007) Radionuclide metrology using liquid scintillation counting, Metrologia 44, S36-S52. Google Scholar
Good, R.H. (1954) Effect of Atomic Electron Screening on the Shape of Forbidden Beta Spectra, Phys. Rev. 94, 931-933. Google Scholar
Gove, N.B., Martin, M.J. (1971) Log-f tables for beta decay, Nuclear Data Tables 10, 205-317. Google Scholar
Harston, M.R., Pyper, N.C. (1992) Exchange effects in beta decays of many-electron atoms, Phys. Rev. A 45, 6282-6295. Google ScholarPubMed
Huber, P. (2011) Determination of antineutrino spectra from nuclear reactors, Phys. Rev. C 84, 024617 Google Scholar
Kassis, A.I. (2004) The amazing world of auger electrons, Int. J. Radiat. Biol. 80, 789-803. Google Scholar
Le-Bret C. (2012) Développement de Calorimètres Métalliques Magnétiques pour la Spectrométrie Bêta, PhD thesis, Université Paris 11.
Loidl, M. et al. (2010) First measurement of the beta spectrum of 241Pu with a cryogenic detector, Appl. Radiat. Isotopes 68, 1454-1458. Google ScholarPubMed
Mougeot X. et al. (2011) Calculation of beta spectra for allowed and unique forbidden transitions. In: LSC2010, September 610, 2010, Paris, (P. Cassette, Ed.) pp. 249-257. Radiocarbon, University of Arizona, Tucson.
Mougeot, X. et al. (2012) Evidence for the exchange effect in the beta decay of 241Pu, Phys. Rev. A 86, 042506. Google Scholar
Mougeot X. et al. (2014) Corrections for exchange and screening effects in low-energy beta decays. In: International Conference on Nuclear Data for Science and Technology (ND2013), March 4-8, 2013, New-York, Nuclear Data Sheets (to be published).
Salvat, F. et al. (1987) Analytical Dirac-Hartree-Fock-Slater screening function for atoms (Z = 192), Phys. Rev. A 36, 467-474. Google Scholar
Schopper H.F. (1966) Weak interactions and nuclear beta decay North-Holland Publishing Company.