Consistent large-scale shell-model analysis of the two-neutrino ββ and single β branchings in 48Ca and 96Zr
Kostensalo, J., & Suhonen, J. (2020). Consistent large-scale shell-model analysis of the two-neutrino ββ and single β branchings in 48Ca and 96Zr. Physics Letters B, 802, Article 135192. https://doi.org/10.1016/j.physletb.2019.135192
Published inPhysics Letters B
© 2019 The Author(s)
Two-neutrino double-beta-decay matrix elements M2ν and single beta-decay branching ratios were calculated for 48Ca and 96Zr in the interacting nuclear shell model using large single-particle valence spaces with well-tested two-body Hamiltonians. For 48Ca the matrix element M2ν=0.0511 is obtained, which is 5.5% smaller than the previously reported value of 0.0539. For 96Zr this work reports the first large-scale shell-model calculation of the nuclear matrix element, yielding a value M2ν=0.0747 with extreme single-state dominance. These matrix elements, combined with the available ββ-decay half-life data, yield effective values of the weak axial coupling which in turn are used to produce in a consistent way the β-decay branching ratios of (7.5±2.8) % for 48Ca and (18.4±0.09) % for 96Zr. These are larger than obtained in previous studies, implying that the detection of the β-decay branches could be possible in dedicated experiments sometime in the (near) future.
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingThis work has been partially supported by the Academy of Finland under the Academy project no. 318043. J.K. acknowledges the financial support from Jenny and Antti Wihuri Foundation.
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