Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay within the PHFB model

Abstract

The nuclear transition matrix elements $M^{(0\nu )}$ for the neutrinoless double beta decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd isotopes in the case of $0^{+}\to 0^{+}$ transition are calculated using the PHFB wave functions, which are eigenvectors of four different parameterizations of a Hamiltonian with pairing plus multipolar effective two-body interaction. \QCOM{35}{In addition, the consideration of} Employing two (three) different parameterizations of Jastrow-type short range correlations, \QCOM{19}{provides us with} a set of eight (twelve) different nuclear transition matrix elements $M^{(0\nu )}$ is built for each decay, whose averages in conjunction with their standard deviations provide an estimate of the model uncertainties.

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