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...

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Main Authors: P. K. Rath, Ramesh Chandra, K. Chaturvedi, P. K. Raina
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
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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.
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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
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AT rameshchandra nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel
AT kchaturvedi nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel
AT pkraina nucleartransitionmatrixelementsfordoublebdecaywithinphfbmodel