Nuclear deformation and neutrinoless double-β decay of 94,96Zr, 98,100Mo, 104Ru, 110Pd, 128,130Te, and 150Nd nuclei within a mechanism involving neutrino mass

The (beta(-)beta(-))(0 nu) decay of Zr-94,Zr-96, Mo-98,Mo-100, Ru-104, Pd-110, Te-128,Te-130, and Nd-150 isotopes for the 0(+)-> 0(+) transition is studied in the projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the beta(-)beta(-) decay of the above-mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced B(E2:0(+)-> 2(+)) transition probabilities, quadrupole moments Q(2(+)), gyromagnetic factors g(2(+)) as well as half-lives T-1/2(2 nu) for the 0(+)-> 0(+) transition and the available experimental data. In the present work, we study the (beta(-)beta(-))(0 nu) decay for the 0(+)-> 0(+) transition in a mechanism involving neutrino mass and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives T-1/2(0 nu)(0(+)-> 0(+)) using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the (beta(-)beta(-))(0 nu) decay in such a mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately the same magnitude in (beta(-)beta(-))(2 nu) and (beta(-)beta(-))(0 nu) decay.