Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba

The potential correlation between the ordinary muon capture (OMC) on <sup>136</sup>Ba and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β...

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Main Authors: Aagrah Agnihotri, Vikas Kumar, Jouni Suhonen
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/5/138
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author Aagrah Agnihotri
Vikas Kumar
Jouni Suhonen
author_facet Aagrah Agnihotri
Vikas Kumar
Jouni Suhonen
author_sort Aagrah Agnihotri
collection DOAJ
description The potential correlation between the ordinary muon capture (OMC) on <sup>136</sup>Ba and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula> decay of <sup>136</sup>Xe is explored. For this, we compute <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula>-decay amplitudes for intermediate states in <sup>136</sup>Cs below 1 MeV of excitation and for angular-momentum values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>J</mi><mo>≤</mo><mn>5</mn></mrow></semantics></math></inline-formula> by using the proton–neutron quasiparticle random-phase approximation (pnQRPA) and nuclear shell model (NSM). We compare these amplitudes with the corresponding OMC rates, computed in a previous Universe article (Universe 2023, 9, 270) for the same energy and angular-momentum ranges. The obtained results suggest that an extension of the present analysis to a wider energy and angular-momentum region could be highly beneficial for probing the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula>-decay nuclear matrix elements using experimental data on OMC rates to intermediate states of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula> decays.
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spelling doaj-art-48ddb5eee6ef44928dc1180e7a3d08c82025-08-20T02:33:58ZengMDPI AGUniverse2218-19972025-04-0111513810.3390/universe11050138Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>BaAagrah Agnihotri0Vikas Kumar1Jouni Suhonen2Department of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandDepartment of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandDepartment of Physics, University of Jyväskylä, P.O. Box 35 (YFL), 40014 Jyväskylä, FinlandThe potential correlation between the ordinary muon capture (OMC) on <sup>136</sup>Ba and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula> decay of <sup>136</sup>Xe is explored. For this, we compute <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula>-decay amplitudes for intermediate states in <sup>136</sup>Cs below 1 MeV of excitation and for angular-momentum values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>J</mi><mo>≤</mo><mn>5</mn></mrow></semantics></math></inline-formula> by using the proton–neutron quasiparticle random-phase approximation (pnQRPA) and nuclear shell model (NSM). We compare these amplitudes with the corresponding OMC rates, computed in a previous Universe article (Universe 2023, 9, 270) for the same energy and angular-momentum ranges. The obtained results suggest that an extension of the present analysis to a wider energy and angular-momentum region could be highly beneficial for probing the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula>-decay nuclear matrix elements using experimental data on OMC rates to intermediate states of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></semantics></math></inline-formula> decays.https://www.mdpi.com/2218-1997/11/5/138double beta decay of Xe-136nuclear matrix elementsmuon capture on Ba-136muon-capture rates
spellingShingle Aagrah Agnihotri
Vikas Kumar
Jouni Suhonen
Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
Universe
double beta decay of Xe-136
nuclear matrix elements
muon capture on Ba-136
muon-capture rates
title Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
title_full Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
title_fullStr Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
title_full_unstemmed Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
title_short Correlating the 0<i>νββ</i>-Decay Amplitudes of <sup>136</sup>Xe with the Ordinary Muon Capture (OMC) Rates of <sup>136</sup>Ba
title_sort correlating the 0 i νββ i decay amplitudes of sup 136 sup xe with the ordinary muon capture omc rates of sup 136 sup ba
topic double beta decay of Xe-136
nuclear matrix elements
muon capture on Ba-136
muon-capture rates
url https://www.mdpi.com/2218-1997/11/5/138
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