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arXiv · 2407.09743

Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$

Matteo Cadeddu·Nicola Cargioli·Jens Erler·Mikhail Gorchtein·Jorge Piekarewicz·Xavier Roca-Maza·Hubert Spiesberger
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Abstract

We study the impact of nuclear structure uncertainties on a measurement of the weak charge of $^{12}\mathrm{C}$ at the future MESA facility in Mainz. Information from a large variety of nuclear models, accurately calibrated to the ground-state properties of selected nuclei, suggest that a $0.3$% precision measurement of the parity-violating asymmetry at forward angles will not be compromised by nuclear structure effects, thereby allowing a world-leading determination of the weak charge of $^{12}\mathrm{C}$. Furthermore, we show that a combination of measurements of the parity-violating asymmetry at forward and backward angles for the same electron beam energy can be used to extract information on the nuclear weak charge distribution. We conclude that a $0.34$% precision on the weak radius of $^{12}\mathrm{C}$ may be achieved by performing a $3$% precision measurement of the parity-violating asymmetry at backward angles.

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Matteo Cadeddu, Nicola Cargioli, Jens Erler, Mikhail Gorchtein, Jorge Piekarewicz, Xavier Roca-Maza, Hubert Spiesberger. 2024-07-13. Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$. https://doi.org/10.1103/physrevc.110.035501

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