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Multiple CP Non-conserving Mechanisms of $etabeta$-Decay and Nuclei with Largely Different Nuclear Matrix Elements | | A. Meroni
; S. T. Petcov
; F. Simkovic
; | | Date: |
6 Dec 2012 | | Abstract: | We investigate the possibility to discriminate between different pairs of CP
non-conserving mechanisms inducing the neutrinoless double beta
$etabeta$-decay by using data on $etabeta$-decay half-lives of nuclei with
largely different nuclear matrix elements (NMEs). The mechanisms studied are:
light Majorana neutrino exchange, heavy left-handed (LH) and heavy right-handed
(RH) Majorana neutrino exchanges, lepton charge non-conserving couplings in
SUSY theories with R-parity breaking giving rise to the "dominant gluino
exchange" and the "squark-neutrino" mechanisms. The nuclei considered are
$^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te and $^{136}$Xe. Four sets of
nuclear matrix elements (NMEs) of the decays of these five nuclei, derived
within the Self-consistent Renormalized Quasiparticle Random Phase
Approximation (SRQRPA), were employed in our analysis. While for each of the
five single mechanisms discussed, the NMEs for $^{76}$Ge, $^{82}$Se, $^{100}$Mo
and $^{130}$Te differ relatively little, the relative difference between the
NMEs of any two nuclei not exceeding 10%, the NMEs for $^{136}Xe$ differ
significantly from those of $^{76}$Ge, $^{82}Se$, $^{100}$Mo and $^{130}$Te,
being by a factor $sim (1.3 - 2.5)$ smaller. This allows, in principle, to
draw conclusions about the pair of non-interfering (interfering) mechanisms
possibly inducing the $etabeta$-decay from data on the half-lives of
$^{136}Xe$ and of at least one (two) more isotope(s) which can be, e.g., any of
the four, $^{76}Ge$, $^{82}Se$, $^{100}Mo$ and $^{130}Te$. The implications of
the EXO lower bound on the half-life of $^{136}Xe$ for the problem studied are
also exploited. | | Source: | arXiv, 1212.1331 | | Services: | Forum | Review | PDF | Favorites | |
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