Zeitschrift für Physik A Hadrons and Nuclei

, Volume 347, Issue 3, pp 151–160 | Cite as

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

  • M. Hirsch
  • K. Muto
  • T. Oda
  • H. V. Klapdor-Kleingrothaus
Nuclear Structure and Reactions


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 0νββ decay is given.


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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • M. Hirsch
    • 1
  • K. Muto
    • 1
  • T. Oda
    • 1
  • H. V. Klapdor-Kleingrothaus
    • 2
  1. 1.Department of PhysicsTokyo Institute of TechnologyTokyoJapan
  2. 2.Max-Planck-Institut für KernphysikHeidelbergGermany

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