Systematic analysis of reaction cross sections of carbon isotopes

Abstract

We systematically analyze total reaction cross sections of carbon isotopes with N=6--16 on a ${}^{12}$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 ${}^{16}$C and ${}^{22}$C. 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: one is the Glauber approximation, and the other is the eikonal model using a global optical potential. We find that both of the schemes successfully reproduce low and high incident energy data on the cross sections of ${}^{12}$C, ${}^{13}$C and ${}^{16}$C on ${}^{12}$C. The calculated reaction cross sections of ${}^{15}$C are found to be considerably smaller than the empirical values observed at low energy. We find a consistent parameterization of the nucleon-nucleon scattering amplitude, differently from previous ones. Finally, we predict the total reaction cross section of ${}^{22}$C on ${}^{12}$C.

26 pages, 9 figures

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Anomalously hindered E2 strength B(E2;2_1^+ -> 0^+) in 16C
• Deformation of C isotopes
• Monte Carlo integration in Glauber model analysis of reactions of halo nuclei
• Structure of and E2 transition in ${}^{16}$C in a ${}^{14}$C+n+n model
• Nuclear radius deduced from proton diffraction by a black nucleus
• Reaction cross section described by a black sphere approximation of nuclei

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