Elastic Scattering of Low-Energy Pions and Muons from Lead
- 1 September 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 8 (3), 909-921
- https://doi.org/10.1103/physrevc.8.909
Abstract
The small-angle (13°-40°) part of the elastic differential cross section for the scattering of low-energy ( MeV) positive and negative pions from natural lead was measured. The same quantity was also measured for the scattering of low-energy muons from lead. The muon-lead data were used to determine the rms charge radius of the lead nucleus. Assuming a Fermi shape for the charge density with a skin thickness of 2.21 fm, the result was fm. The data, taken in the region of large Coulomb nuclear interference, were compared with predictions of the pion-nucleus optical model according to Watson and Kisslinger. Excellent fits to the data were obtained by treating the model phenomenologically; however, the best-fit optical-model parameters were not in agreement with the values computed from experimental pion-nucleon phase shifts. Since the elastic cross sections are sensitive to the neutron density distribution, a determination of the rms neutron-matter radius could be made. Assuming a Fermi shape for the neutron-matter density, with a skin thickness of 2.21 fm, the result was fm.
Keywords
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