Weak charge and weak radius of C 12

Oleksandr Koshchii, Jens Erler, Mikhail Gorchtein, Charles J. Horowitz, Jorge Piekarewicz, Xavier Roca-Maza, Chien Yeah Seng, Hubert Spiesberger

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Abstract

We present a feasibility study of a simultaneous subpercent extraction of the weak charge and the weak radius of the C12 nucleus using parity-violating electron scattering, based on a largely model-independent assessment of the uncertainties. The corresponding measurement is considered to be carried out at the future MESA facility in Mainz with Ebeam=155MeV. We find that a combination of a 0.3% precise measurement of the parity-violating asymmetry at forward angles with a 10% measurement at backward angles will allow to determine the weak charge and the weak radius of C12 with 0.4% and 0.5% precision, respectively. These values could be improved to 0.3% and 0.2% for a 3% backward measurement. This experimental program will have impact on precision low-energy tests in the electroweak sector and nuclear structure.

Original languageEnglish
Article number022501
JournalPhysical Review C
Volume102
Issue number2
DOIs
StatePublished - Aug 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020 American Physical Society.

Funding

The authors acknowledge useful discussions with K. Kumar and F. Maas. We thank T. W. Donnelly, R. Ferro-Hernández, and O. Moreno for helpful correspondence. The work of J.E., M.G., O.K., and H.S. was supported by the German-Mexican Research Collaboration Grants No. 278017 (CONACyT) and No. SP 778/4-1 (DFG). M.G. was supported by the EU Horizon 2020 Research and Innovation Programme, Project No. STRONG-2020, Grant Agreement No. 824093. X.R.-M. acknowledges funding from the EU Horizon 2020 Research and Innovation Programme, Grant Agreement No. 654002. J.P. acknowledges support from the US Department of Energy Office of Nuclear Physics under Award No. DE-FG02-92ER40750. C.-Y.S. was supported, in part, by the DFG (Grant No. TRR110) and the NSFC (Grant No. 11621131001) through the funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD,” and by the Alexander von Humboldt Foundation through the Humboldt Research Fellowship. C.J.H. was supported by the US Department of Energy Grants No. DE-FG02-87ER40365 and No. DE-SC0018083.

FundersFunder number
US Department of Energy Office of Nuclear PhysicsDE-FG02-92ER40750, TRR110
U.S. Department of EnergyDE-SC0018083, DE-FG02-87ER40365
Alexander von Humboldt-Stiftung
Horizon 2020 Framework Programme
Deutsche Forschungsgemeinschaft
National Natural Science Foundation of China11621131001
Consejo Nacional de Ciencia y TecnologíaSP 778/4-1
Horizon 2020654002, STRONG-2020, 824093

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