Systematic analysis of reaction cross sections of carbon isotopes
- 20 April 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 75 (4), 044607
- https://doi.org/10.1103/physrevc.75.044607
Abstract
We systematically analyze total reaction cross sections of carbon isotopes with 6–16 on a target for wide range of incident energy. The intrinsic structure of the carbon isotope is described by a Slater determinant generated from a phenomenological mean-field potential, which reasonably well reproduces the ground-state properties for most of the even isotopes. We need separate studies not only for odd nuclei but also for and to improve their wave functions. The density of the carbon isotope is constructed by eliminating the effect of the center-of-mass motion. For the calculations of the cross sections, we take two schemes, the Glauber approximation and the eikonal model using a global optical potential. Both the reaction models successfully reproduce low and high incident energy data on the cross sections of , , and on . The calculated reaction cross sections of are found to be considerably smaller than the empirical values observed at low energy. We find a consistent parametrization of the nucleon-nucleon scattering amplitude, differently from previous ones. Finally, we predict the total reaction cross section of on .
Keywords
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