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

P. K. Rath, R. Chandra, K. Chaturvedi, P. K. Raina, J. G. Hirsch

Published 2011-04-20Version 1

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 $0^{+}\rightarrow 0^{+}$ 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.