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

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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Bibliographic Details
Main Authors:	Aagrah Agnihotri, Vikas Kumar, Jouni Suhonen
Format:	Article
Language:	English
Published:	MDPI AG 2025-04-01
Series:	Universe
Subjects:	double beta decay of Xe-136 nuclear matrix elements muon capture on Ba-136 muon-capture rates
Online Access:	https://www.mdpi.com/2218-1997/11/5/138
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Summary:	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.
ISSN:	2218-1997