First Extraction of the Matter Radius of ${}^{132}$Sn via Proton Elastic Scattering at 200 MeV/Nucleon

Abstract

The angular distribution of the differential cross sections for proton elastic scattering from ${}^{132}$Sn at 196-210 MeV/nucleon was successfully measured over a momentum transfer range of 0.80 to 2.1 fm${}^{-1}$. Using a relativistic impulse approximation, the root-mean-square matter radius of ${}^{132}$Sn was extracted to be $4.758_{-0.024}^{+0.023}$ fm, which was compared with the state-of-the-art ab initio calculations. Combined with the charge radius measured at ISOLDE, there are no theoretical calculations consistent with both matter and charge radii within the experimental errors.

arXiv comment18 pages, 8 figures

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