Analysis of experiments with radioactive beams from ${}_{}{}^6{}_{}{}^{}\mathrm{He}$ to ${}_{}{}^{20}{}_{}{}^{}\mathrm{C}$ have yielded rms matter radii of neutron-rich nuclides. These radii increase more rapidly than ${\mathit{A}}^{1/3}$, suggesting the existence of neutron halos. We have used a single-particle potential model to compute these radii by adding the radius of a valence neutron in quadrature with that of the core. This radius is then taken to be the core radius of the next isotope, etc. The resulting radii are in reasonable agreement with reported values obtained with various models of reaction mechanism and nuclear structure. © 1996 The American Physical Society.

• Received 10 January 1996

DOI:https://doi.org/10.1103/PhysRevC.54.1177