English

Uncertainties in nuclear transition matrix elements for $\beta ^{+}\beta ^{+}$ and $\varepsilon \beta ^{+}$ modes of neutrinoless positron double-$\beta $ decay within PHFB model

Nuclear Theory 2015-06-11 v2

Abstract

Uncertainties in the nuclear transition matrix elements M(0ν)M^{(0\nu)} and M(0N)M^{(0N)} of the double-positron emission (β+β+)0ν(\beta ^{+}\beta ^{+})_{0\nu} and electron-positron conversion (εβ+)0ν(\varepsilon \beta ^{+})_{0\nu} modes due to the exchange of light and heavy Majorana neutrinos, respectively, are calculated for 96^{96}Ru, 102^{102}Pd, 106^{106}Cd, 124^{124}Xe, 130^{130}Ba and 156^{156}Dy isotopes by employing the PHFB model with four different parameterization of the pairing plus multipolar two-body interactions and three different parameterizations of the Jastrow short range correlations. In all cases but for 130^{130}Ba, the uncertainties are smaller than 14% for light Majorana neutrino exchange and 35% for the exchange of a heavy Majorana neutrino.

Keywords

Cite

@article{arxiv.1210.5367,
  title  = {Uncertainties in nuclear transition matrix elements for $\beta ^{+}\beta ^{+}$ and $\varepsilon \beta ^{+}$ modes of neutrinoless positron double-$\beta $ decay within PHFB model},
  author = {P. K. Rath and R. Chandra and K. Chaturvedi and P. Lohani and P. K. Raina and J. G. Hirsch},
  journal= {arXiv preprint arXiv:1210.5367},
  year   = {2015}
}