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Title: Systematic analysis of reaction cross sections of carbon isotopes

Journal Article · · Physical Review. C, Nuclear Physics
 [1];  [2];  [3];  [3]
  1. Graduate School of Science and Technology, Niigata University, Niigata 950-2181 (Japan)
  2. Department of Physics and Graduate School of Science and Technology, Niigata University, Niigata 950-2181 (Japan)
  3. RIKEN Nishina Center, Wako-shi, Saitama 351-0198 (Japan)

We systematically analyze total reaction cross sections of carbon isotopes with N= 6-16 on a {sup 12}C 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 N isotopes. We need separate studies not only for odd nuclei but also for {sup 16}C and {sup 22}C 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 {sup 12}C, {sup 13}C, and {sup 16}C on {sup 12}C. The calculated reaction cross sections of {sup 15}C 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 {sup 22}C on {sup 12}C.

OSTI ID:
20995216
Journal Information:
Physical Review. C, Nuclear Physics, Vol. 75, Issue 4; Other Information: DOI: 10.1103/PhysRevC.75.044607; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
Country of Publication:
United States
Language:
English

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