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The half-life of10Be and the renormalization of the axial-vector coupling constant

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The unique second-forbiddenβ-transition 0+ (555.9keVβ −)3+ of10Be was analyzed in detail. The half-lifeT 1/2 was calculated in the best possible way. Special attention was bestowed on the higher order corrections and a careful treatment of the errors performed. The theoretical half-life was obtained to beT 1/2=(1.31±0.15)× 106 yr. Although this result, within the uncertainties, appears to be in agreement with the experimental valueT 1/2=(1.59±0.16)×106 yr, its mean valueis slightly smaller than that of the experimental. This fact is attributed to the renormalization of the axial vector coupling constantC A . The phenomenological magnitude of this renormalization,ρ SFRC =0.923±0.096, was found to be in excellent agreement with the “fundamental” renormalization derived from the PCAC hypothesis and the exchange effects in the pionic vertex, namelyρ F 0.93.

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Authors and Affiliations

  1. Institut für Experimentelle Kernphysik der Universität und des Kernforschungszentrums Karlsruhe, Karlsruhe, Federal Republic of Germany

    Leszek Szybisz

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  1. Leszek Szybisz
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Fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas of Argentina. This work was supported by a Fellowship of the Gesellschaft für Kernforschung of Karlsruhe.

The author appreciates the helpful and stimulating discussions with Dr. H. Behrens. He also wishes to thank Dr. V. Seshagiri Rao for a careful reading of the manuscript.

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Szybisz, L. The half-life of10Be and the renormalization of the axial-vector coupling constant. Z Physik A 273, 277–281 (1975). https://doi.org/10.1007/BF01410010

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  • DOI: https://doi.org/10.1007/BF01410010

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