<i>Ab Initio</i> Strategy for Taming the Nuclear-Structure Dependence of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>V</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>u</mml:mi> <mml:mi>d</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> Extractions: The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mmultiscripts> <mml:mrow> <mml:mi mathvariant="normal">C</mml:mi> </mml:mrow> <mml:mprescripts/> <mml:none/> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> </mml:mmultiscripts> <mml:mo stretchy="false">→</mml:mo> <mml:mmultiscripts> <mml:mrow> <mml:mi mathvariant="normal">B</mml:mi> </mml:mrow> <mml:mprescripts/> <mml:none/> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> </mml:mmultiscripts> </mml:mrow> </mml:math> Superallowed Transition
Michael Gennari, M. Drissi, Mikhail Gorchtein, P. Navrátil, Chien-Yeah Seng
Abstract
We report the first ab initio calculation of the nuclear-structure-dependent radiative correction ${\ensuremath{\delta}}_{\mathrm{NS}}$ to the $^{10}\mathrm{C}\ensuremath{\rightarrow}^{10}\mathrm{B}$ superallowed transition, computed with the no-core shell model and chiral effective field theory. We obtain ${\ensuremath{\delta}}_{\mathrm{NS}}=\ensuremath{-}0.422(29{)}_{\mathrm{nuc}}(12{)}_{n,\mathrm{el}}$ 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 Letter paves the way for a precise determination of ${V}_{ud}$ from superallowed beta decays within a systematically improvable framework.