Spinmultipole nuclear matrix elements in the pn quasiparticle randomphase approximation: Implications for β and ββ halflives
Kostensalo, J., & Suhonen, J. (2017). Spinmultipole nuclear matrix elements in the pn quasiparticle randomphase approximation: Implications for β and ββ halflives. Physical Review C, 95(1), Article 014322. https://doi.org/10.1103/PhysRevC.95.014322
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© 2017 American Physical Society. Published in this repository with the kind permission of the publisher.
Halflives for 148 potentially measurable 2nd, 3rd, 4th, 5th, 6th, and 7thforbidden unique beta transitions
are predicted. To achieve this, the ratio of the nuclear matrix elements (NMEs), calculated by the protonneutron
quasiparticle randomphase approximation (pnQRPA), MpnQRPA, and a twoquasiparticle (twoqp) model, Mqp,
is studied and compared with earlier calculations for the allowed GamowTeller (GT) 1+ and firstforbidden
spindipole (SD) 2− transitions. The present calculations are done using realistic singleparticle model spaces and
Gmatrix based microscopic twobody interactions. In terms of the ratio k = MpnQRPA/Mqp the studied decays fall
into two groups: for GROUP 1, which consists of transitions involving nonmagic nuclei, the ratio turns out to be
k = 0.29 ± 0.15. For GROUP 2, consisting of transitions involving semimagic nuclei, the ratio is 0.5–0.8 for half
of the decays and less than 5 × 10−3 for the other half. The magnitudes of the NMEs for several nuclei of GROUP 2
depend sensitively on the size of the used singleparticle space and the energies of few key singleparticle orbitals
used in the pnQRPA calculation, while no such dependence is found for the transitions involving nuclei of
GROUP 1. Comparing the NME ratios k of GROUP 1 with those of the earlier GT and SD calculations, where
also experimental data are available, the expected “experimental” halflives for the decays between the 0+ ground
state of the eveneven reference nuclei and the J π = 3+,4−,5+,6−,7+,8− states of the neighboring oddodd nuclei
are derived for possible experimental verification. The present results could also shed light to the magnitudes
of the NMEs corresponding to the highforbidden unique 0+ → J π = 3+,4−,5+,6−,7+,8− virtual transitions
taking part in the neutrinoless double beta decays.
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