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

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
Nuclear Experiment, Nuclear Experiment (nucl-ex), Nuclear Theory (nucl-th)
2024-03-06 00:00:00
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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