Nuclear transition matrix elements for Majoron-accompanied neutrinoless double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>decay within a projected-Hartree-Fock-Bogoliubov model

Abstract

The model-dependent uncertainties in the nuclear transition matrix elements for the Majoron-accompanied neutrinoless double-$\ensuremath{\beta}$ decay $\left({0}^{+}\ensuremath{\rightarrow}{0}^{+}\text{transition}\right)$ of $^{94,96}\mathrm{Zr}, ^{100}\mathrm{Mo}, ^{128,130}\mathrm{Te}$, and $^{150}\mathrm{Nd}$ isotopes are calculated by employing the projected-Hartree-Fock-Bogoliubov formalism with four different parametrizations of the pairing plus multipolar two-body interactions and three different parametrizations of the Jastrow short-range correlations. Uncertainties in the nuclear transition matrix elements turn out to be less than 15% and 21% for decays involving the emission of single and double Majorons, respectively.