An $\textit{ab initio}$ strategy for taming nuclear-structure dependence of $ V_{ud} $ extractions: the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition

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Autori principali: Gennari, Michael, Drissi, Mehdi, Gorchtein, Mikhail, Navratil, Petr, Seng, Chien-Yeah
Natura: Preprint
Pubblicazione: 2024
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author Gennari, Michael
Drissi, Mehdi
Gorchtein, Mikhail
Navratil, Petr
Seng, Chien-Yeah
author_facet Gennari, Michael
Drissi, Mehdi
Gorchtein, Mikhail
Navratil, Petr
Seng, Chien-Yeah
contents We report the first \textit{ab initio} calculation of the nuclear-structure-dependent radiative correction $ δ_{ \mathrm{NS} } $ to the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition, computed with the no-core shell model and chiral effective field theory. We obtain $δ_{ \mathrm{NS} } = - 0.422 (29)_{ \mathrm{nuc} } (12)_{ n,\mathrm{el} } $ with a $1.6$-times reduction in the total uncertainty when compared to the current literature estimate based on the shell model and Fermi gas picture. This work paves the way for a precise determination of $V_{ud}$ from superallowed beta decays within a systematically improvable framework.
format Preprint
id arxiv_https___arxiv_org_abs_2405_19281
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An $\textit{ab initio}$ strategy for taming nuclear-structure dependence of $ V_{ud} $ extractions: the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition
Gennari, Michael
Drissi, Mehdi
Gorchtein, Mikhail
Navratil, Petr
Seng, Chien-Yeah
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
We report the first \textit{ab initio} calculation of the nuclear-structure-dependent radiative correction $ δ_{ \mathrm{NS} } $ to the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition, computed with the no-core shell model and chiral effective field theory. We obtain $δ_{ \mathrm{NS} } = - 0.422 (29)_{ \mathrm{nuc} } (12)_{ n,\mathrm{el} } $ with a $1.6$-times reduction in the total uncertainty when compared to the current literature estimate based on the shell model and Fermi gas picture. This work paves the way for a precise determination of $V_{ud}$ from superallowed beta decays within a systematically improvable framework.
title An $\textit{ab initio}$ strategy for taming nuclear-structure dependence of $ V_{ud} $ extractions: the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition
topic Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
url https://arxiv.org/abs/2405.19281