AUTHOR=Rath P. K. , Chandra Ramesh , Chaturvedi K. , Raina P. K. TITLE=Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model JOURNAL=Frontiers in Physics VOLUME=7 YEAR=2019 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00064 DOI=10.3389/fphy.2019.00064 ISSN=2296-424X ABSTRACT=

Employing the projected-Hartree-Fock-Bogoliubov (PHFB) approach, nuclear transition matrix elements (NTMEs) have been calculated to study the three complementary modes of ββ decay, namely two neutrino ββ (2νββ) decay, neutrinoless ββ (0νββ) decay within mass mechanism and Majoron accompanied 0νββ (0νββχ) decay. Reliability of HFB wave functions generated with four different parametrizations of the pairing plus multipolar type of effective two-body interaction has been ascertained by comparing a number of nuclear observables with the available experimental data. Specifically, the calculated NTMEs M(2ν) of 2νββ decay have been compared with the observed data. Effects due to different parametrizations of effective two-body interactions, form factors and short-range correlations have been studied. It has also been observed that deformation plays a crucial role in the nuclear structure aspects of 0νββ decay. Uncertainties in NTMEs calculated with wave functions generated with four different parametrizations of the pairing plus multipolar type of effective two-body interaction, dipole form factor and three different parametrizations of Jastrow type of short-range correlations within mechanisms involving light Majorana neutrinos, heavy Majorana neutrinos, sterile neutrinos and Majorons have been statistically estimated.