Neutron radius determination of 133Cs and constraint on the weak mixing angle

Author:

Y. Huang, S. Y. Xia, Y. F. Li, X. L. Tu, J. T. Zhang, C. J. Shao, K. Yue, P. Ma, Y. F. Niu, Z. P. Li, Y. Kuang, X. Q. Liu, J. F. Han, P. Egelhof, Yu. A. Litvinov, M. Wang, Y. H. Zhang, X. H. Zhou, Z. Y. Sun

Keyword:

Nuclear Experiment, Nuclear Experiment (nucl-ex), Nuclear Theory (nucl-th)

journal:

date:

2024-03-06 00:00:00

Abstract

Proton-$^{133}$Cs elastic scattering at low momentum transfer is performed using an in-ring reaction technique at the Cooler Storage Ring at the Heavy Ion Research Facility in Lanzhou. Recoil protons from the elastic collisions between the internal H$_2$-gas target and the circulating $^{133}$Cs ions at 199.4 MeV/u are detected by a silicon-strip detector. The matter radius of $^{133}$Cs is deduced by describing the measured differential cross sections using the Glauber model. Employing the adopted proton distribution radius, a point-neutron radius of 4.86(21) fm for $^{133}$Cs is obtained. With the newly determined neutron radius, the weak mixing angle sin$^2 \theta_W$ is independently extracted to be 0.227(28) by fitting the coherent elastic neutrino-nucleus scattering data. This work limits the sin$^2 \theta_W$ value in a range smaller than the ones proposed by the previous independent approaches.

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