https://doi.org/10.1140/epja/s10050-022-00677-y
Regular Article - Theoretical Physics
Occupation numbers and nuclear transition matrix elements for 
decay within a mechanism involving neutrino mass
1
Department of Physics, Babasaheb Bhimrao Ambedkar University, 226025, Lucknow, India
2
Department of Physics, University of Lucknow, 226007, Lucknow, India
3
Department of Physics, Indian Institute of Technology, Ropar, 140001, Rupnagar, India
Received:
23
July
2021
Accepted:
3
February
2022
Published online:
13
February
2022
By reproducing the experimentally available sub-shell occupation numbers of 
Mo, Ru, 
Te, and 
Xe nuclei, sets of four HFB intrinsic wave functions are generated with single particle energies due to Woods–Saxon potential and four different parametrizations of pairing plus multipolar effective two body interaction. In the rest of the considered nuclei, the single particle energies are scaled accordingly. Reliability of wave functions has been ascertained by comparing theoretically calculated and observed yrast spectra and deformation parameters 
. Comparison between NTMEs 
(
and 0N) calculated with wave functions having adjusted and unadjusted occupation numbers shows that the former are in general reduced. Uncertainties in set of twelve nuclear transition matrix elements for the neutrinoless double-
decay of 
Zr, Mo, 
Pd, Te, and 
Nd isotopes calculated using three different parametrizations of Jastrow short range correlations turn out to be 10–14% and 37% due to the exchange of light and heavy Majorana neutrino, respectively.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
