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arXiv · 1210.5367

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

P. K. Rath·R. Chandra·K. Chaturvedi·P. Lohani·P. K. Raina·J. G. Hirsch
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Abstract

Uncertainties in the nuclear transition matrix elements $M^{(0\nu)}$ and $M^{(0N)}$ of the double-positron emission $(\beta ^{+}\beta ^{+})_{0\nu}$ and electron-positron conversion $(\varepsilon \beta ^{+})_{0\nu}$ modes due to the exchange of light and heavy Majorana neutrinos, respectively, are calculated for $^{96}$Ru, $^{102}$Pd, $^{106}$Cd, $^{124}$Xe, $^{130}$Ba and $^{156}$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 $^{130}$Ba, the uncertainties are smaller than 14% for light Majorana neutrino exchange and 35% for the exchange of a heavy Majorana neutrino.

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P. K. Rath, R. Chandra, K. Chaturvedi, P. Lohani, P. K. Raina, J. G. Hirsch. 2012-10-19. Uncertainties in nuclear transition matrix elements for $\beta ^{+}\beta ^{+}$ and $\varepsilon \beta ^{+}$ modes of neutrinoless positron double-$\beta $ decay within PHFB model. https://doi.org/10.1103/physrevc.87.014301

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