Reaction cross sections of carbon isotopes incident on a proton

Abstract

We systematically study total reaction cross sections of carbon isotopes with N=6-16 on a proton target for wide range of incident energies, putting an emphasis on the difference from the case of a carbon target. The analysis includes the reaction cross sections of ^{19,20,22}C at 40 AMeV, the data of which have recently been measured at RIKEN. The Glauber theory is used to calculate the reaction cross sections. To describe the intrinsic structure of the carbon isotopes, we use a Slater determinant generated from a phenomenological mean-field potential, and construct the density distributions. To go beyond the simple mean-field model, we adopt two types of dynamical models: One is a core+n model for odd-neutron nuclei, and the other is a core+n+n model for 16C and 22C. We propose empirical formulas which are useful in predicting unknown cross sections.

13 pages, 10 figures

References in corpus (8)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Systematic analysis of reaction cross sections of carbon isotopes
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Anomalously hindered E2 strength B(E2;2_1^+ -> 0^+) in 16C
• Deformation of C isotopes
• Structure of and E2 transition in ${}^{16}$C in a ${}^{14}$C+n+n model
• Reaction cross section described by a black sphere approximation of nuclei

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