Uncertainties in nuclear transition matrix elements for neutrinolessββdecay within the projected-Hartree-Fock-Bogoliubov model

• DOI: 10.1103/physrevc.82.064310
• Publication Date: 2010-12-17T11:38:38Z
• Authors: P. K. Rath; R. Chandra; K. Chaturvedi; P. K. Raina; J. G. Hirsch
• Keywords: Hamiltonian (control theory); Matrix (chemical analysis)

The nuclear transition matrix elements ${M}^{(0\ensuremath{\nu})}$ for the neutrinoless $\ensuremath{\beta}\ensuremath{\beta}$ decay of $^{94,96}\mathrm{Zr}$, $^{98,100}\mathrm{Mo}$, $^{104}\mathrm{Ru}$, $^{110}\mathrm{Pd}$, $^{128,130}\mathrm{Te}$, and $^{150}\mathrm{Nd}$ isotopes in case ${0}^{+}\ensuremath{\rightarrow}{0}^{+}$ are calculated using projected-Hartree-Fock-Bogoliubov wave functions, which eigenvectors four different parametrizations a Hamiltonian with pairing plus multipolar effective two-body interaction. Employing two (three) Jastrow-type short-range correlations, set eight (twelve) is built each decay, whose averages conjunction their standard deviations provide an estimate model's uncertainties.