Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$
| Autor: | Cadeddu, Matteo, Cargioli, Nicola, Erler, Jens, Gorchtein, Mikhail, Piekarewicz, Jorge, Roca-Maza, Xavier, Spiesberger, Hubert |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 110, 035501 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.110.035501 |
| Popis: | 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. Comment: 14 pages, 7 figure, 1 table. Matches the published version |
| Databáze: | arXiv |
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