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Nuclear structure calculation ofβ + β +,β +/EC and EC/EC decay matrix elements

  • Nuclear Structure and Reactions
  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

Nuclear matrix elements for double positron emisson (β + β +), positron emission/electron capture (β +/ EC) and double electron capture (EC/EC) in the 2νββ decay mode and forβ + β + andβ +/EC decay in the 0νββ mode are calculated for the experimentally most promising isotopes58Ni,78Kr,96Ru,106Cd,124Xe,130Ba and136Ce within pn-QRPA. We point out that the matrix element for the 2νβ +/EC decay differs from the 2νβ + β + matrix element, an effect not considered previously. For the neutrino accompanied decays our calculation predicts for theβ +/EC and the EC/EC mode half lives which are shorter typically by 4–7 orders of magnitude than those for the double positron emission. However, even for the best candidates typical values for 2νβ +/EC (2ν EC/EC) are still in the range of ∼1022 ((some) 1021) years. For 0νββ decay we have calculated all matrix elements relevant for both, the mass mechanism and the right-handed currents for the first time complete. A detailed discussion of the differences between the 0νβ +β+, the 0νβ +/EC and 0νβ − β − decay is given.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Meguro, 152, Tokyo, Japan

    M. Hirsch, K. Muto & T. Oda

  2. Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029, Heidelberg, Germany

    H. V. Klapdor-Kleingrothaus

Authors
  1. M. Hirsch
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  2. K. Muto
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  3. T. Oda
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  4. H. V. Klapdor-Kleingrothaus
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Additional information

This work is supported in part by a Grant-in-Aid for Scientific Research (05243204) from the Ministry of Education, Science and Culture. One of us (M.H.) would like to thank the Japanese Ministry of Education, Science and Culture (Monbusho) for financial support. He also acknowledges valuable discussions with S.S.

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Hirsch, M., Muto, K., Oda, T. et al. Nuclear structure calculation ofβ + β +,β +/EC and EC/EC decay matrix elements. Z. Physik A - Hadrons and Nuclei 347, 151–160 (1994). https://doi.org/10.1007/BF01292371

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  • DOI: https://doi.org/10.1007/BF01292371

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