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

physical review. c. nuclear physics/physical review. c, nuclear physics

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