Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model
Employing the projected-Hartree-Fock-Bogoliubov (PHFB) approach, nuclear transition matrix elements (NTMEs) have been calculated to study the three complementary modes of β−β− decay, namely two neutrino β−β− (2νβ−β−) decay, neutrinoless β−β− (0νβ−β−) decay within mass mechanism and Majoron accompani...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Frontiers Media S.A.
2019-05-01
|
Series: | Frontiers in Physics |
Subjects: | |
Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2019.00064/full |
_version_ | 1811312583560396800 |
---|---|
author | P. K. Rath Ramesh Chandra K. Chaturvedi P. K. Raina |
author_facet | P. K. Rath Ramesh Chandra K. Chaturvedi P. K. Raina |
author_sort | P. K. Rath |
collection | DOAJ |
description | Employing the projected-Hartree-Fock-Bogoliubov (PHFB) approach, nuclear transition matrix elements (NTMEs) have been calculated to study the three complementary modes of β−β− decay, namely two neutrino β−β− (2νβ−β−) decay, neutrinoless β−β− (0νβ−β−) decay within mass mechanism and Majoron accompanied 0νβ−β− (0νβ−β−χ) 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 2νβ−β− 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 0νβ−β− 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. |
first_indexed | 2024-04-13T10:39:52Z |
format | Article |
id | doaj.art-ff9436e9d37f4f57a626865198e12dac |
institution | Directory Open Access Journal |
issn | 2296-424X |
language | English |
last_indexed | 2024-04-13T10:39:52Z |
publishDate | 2019-05-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Physics |
spelling | doaj.art-ff9436e9d37f4f57a626865198e12dac2022-12-22T02:49:58ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-05-01710.3389/fphy.2019.00064441074Nuclear Transition Matrix Elements for Double-β Decay Within PHFB ModelP. K. Rath0Ramesh Chandra1K. Chaturvedi2P. K. Raina3Department of Physics, University of Lucknow, Lucknow, IndiaDepartment of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow, IndiaDepartment of Physics, Bundelkhand University, Jhansi, IndiaDepartment of Physics, Indian Institute of Technology, Rupnagar, IndiaEmploying the projected-Hartree-Fock-Bogoliubov (PHFB) approach, nuclear transition matrix elements (NTMEs) have been calculated to study the three complementary modes of β−β− decay, namely two neutrino β−β− (2νβ−β−) decay, neutrinoless β−β− (0νβ−β−) decay within mass mechanism and Majoron accompanied 0νβ−β− (0νβ−β−χ) 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 2νβ−β− 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 0νβ−β− 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.https://www.frontiersin.org/article/10.3389/fphy.2019.00064/fulldouble beta decaynuclear transition matrix elementsMajoron modelsshort range correlationsMajorana neutrino mass |
spellingShingle | P. K. Rath Ramesh Chandra K. Chaturvedi P. K. Raina Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model Frontiers in Physics double beta decay nuclear transition matrix elements Majoron models short range correlations Majorana neutrino mass |
title | Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model |
title_full | Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model |
title_fullStr | Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model |
title_full_unstemmed | Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model |
title_short | Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model |
title_sort | nuclear transition matrix elements for double β decay within phfb model |
topic | double beta decay nuclear transition matrix elements Majoron models short range correlations Majorana neutrino mass |
url | https://www.frontiersin.org/article/10.3389/fphy.2019.00064/full |
work_keys_str_mv | AT pkrath nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel AT rameshchandra nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel AT kchaturvedi nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel AT pkraina nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel |