Abstract
We have measured for the first time the charge-changing cross sections of on a target at energies below MeV. To analyze these low-energy data, we have developed a finite-range Glauber model with a global parameter set within the optical-limit approximation which is applicable to reaction cross section and measurements at incident energies from to MeV. Adopting the proton-density distribution of known from the electron-scattering data, as well as the bare total nucleon-nucleon cross sections and the real-to-imaginary-part ratios of the forward proton-proton elastic scattering amplitude available in the literatures, we determine the energy-dependent slope parameter of the proton-neutron elastic differential cross section so as to reproduce the existing and interaction cross-section data for over a wide range of incident energies. The Glauber model thus formulated is applied to calculate the 's of on a and targets at various incident energies. Our calculations show excellent agreement with the experimental data. Applying our model to the and for the so-called neutron-skin nucleus, we reconfirm the importance of measurements at incident energies below MeV. The proton root-mean-square radii of are extracted using the measured 's and the existing data. The results for are consistent with the values from the electron scatterings, demonstrating the feasibility, usefulness of the measurement, and the present Glauber model.
- Received 16 June 2016
- Revised 4 November 2016
DOI:https://doi.org/10.1103/PhysRevC.94.064604
©2016 American Physical Society