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=Volume 7 - 2019

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 $\beta ^{-}\beta ^{-}$ decay, namely two neutrino $%
\beta ^{-}\beta ^{-}$ (2$\nu \beta ^{-}\beta ^{-}$) decay, neutrinoless $%
\beta ^{-}\beta ^{-}$ (0$\nu \beta ^{-}\beta ^{-}$) decay within mass
mechanism and Majoron accompanied 0$\nu \beta ^{-}\beta ^{-}$ (0$\nu \beta
^{-}\beta ^{-}\chi $) 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 $M^{(2\nu )}$ of 2$\nu \beta ^{-}\beta ^{-}$ 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 0$\nu
\beta ^{-}\beta ^{-}$ 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 Majorona
neutrinos, sterile neutrinos and Majorons have been statistically estimated.