Uncertainties in nuclear transition matrix elements for neutrinoless ββ decay

Abstract

To ascertain the uncertainties associated with the nuclear transition matrix elements M(0ν) for the neutrinoless ββ decay of 94,96Zr, 98,100Mo, 104Ru, 110Pd, 128,130Te and 150Nd isotopes in the case of 0+ → 0+ transition, a statistical analysis has been performed by calculating eight (twelve) different nuclear transition matrix elements M(0?) in the projected Hartree-Fock-Bogoliobov (PHFB) model using four different parameterizations of a Hamiltonian with pairing plus multipolar effective two-body interaction and two (three) different parameterizations of Jastrow-type short range correlations. The averages in conjunction with their standard deviations provide an estimate of the uncertainties associated the nuclear transition matrix elements M(0ν) calculated within the PHFB model.