Charge-changing cross-section measurements of C1216 at around 45A MeV and development of a Glauber model for incident energies 10A2100A MeV

D. T. Tran et al. (RCNP-E372 Collaboration)
Phys. Rev. C 94, 064604 – Published 9 December 2016

Abstract

We have measured for the first time the charge-changing cross sections (σCC) of C1216 on a C12 target at energies below 100A 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 (σR) and σCC measurements at incident energies from 10A to 2100A MeV. Adopting the proton-density distribution of C12 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 βpn of the proton-neutron elastic differential cross section so as to reproduce the existing σR and interaction cross-section data for C12+C12 over a wide range of incident energies. The Glauber model thus formulated is applied to calculate the σR's of C12 on a Be9 and Al27 targets at various incident energies. Our calculations show excellent agreement with the experimental data. Applying our model to the σR and σCC for the so-called neutron-skin C16 nucleus, we reconfirm the importance of measurements at incident energies below 100A MeV. The proton root-mean-square radii of C1216 are extracted using the measured σCC's and the existing σR data. The results for C1214 are consistent with the values from the electron scatterings, demonstrating the feasibility, usefulness of the σCC measurement, and the present Glauber model.

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  • Received 16 June 2016
  • Revised 4 November 2016

DOI:https://doi.org/10.1103/PhysRevC.94.064604

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

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Vol. 94, Iss. 6 — December 2016

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