Nucleon-Nucleon Short-Ranged Correlations, $\beta$ Decay and the Unitarity of the CKM Matrix

Abstract

The influence of nucleon-nucleon short-ranged correlations (SRC) on nuclear super-allowed $\beta$ decay is examined. The need for this is driven by the observed depletion of spectroscopic strength obtained in studies of $(e,e^{\prime })$ and $(d{,}^3\mathrm{He})$ reactions on a wide variety of nuclei. We show that the influence of SRC is model-dependent, but may be very substantial. The ${}^{46}$V nucleus is used as an example. The resulting impact on studies of the unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element is discussed.

7 pages, 0 figures. Several improvements in this version

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Cited by in corpus (8)

• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Cabibbo angle anomalies and a global fit to vector-like quarks