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Title: 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 {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.

Authors:
 [1];  [2];  [3];  [4];  [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)
  4. (Egypt)
Publication Date:
OSTI Identifier:
20995216
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.044607; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; CARBON 12 TARGET; CARBON 13; CARBON 15; CARBON 16; CARBON 22; CROSS SECTIONS; EIKONAL APPROXIMATION; GROUND STATES; NITROGEN ISOTOPES; NUCLEON-NUCLEON INTERACTIONS; SLATER METHOD; WAVE FUNCTIONS

Citation Formats

Horiuchi, W., Suzuki, Y., Abu-Ibrahim, B., Department of Physics, Cairo University, Giza 12613, and Kohama, A. Systematic analysis of reaction cross sections of carbon isotopes. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.044607.
Horiuchi, W., Suzuki, Y., Abu-Ibrahim, B., Department of Physics, Cairo University, Giza 12613, & Kohama, A. Systematic analysis of reaction cross sections of carbon isotopes. United States. doi:10.1103/PHYSREVC.75.044607.
Horiuchi, W., Suzuki, Y., Abu-Ibrahim, B., Department of Physics, Cairo University, Giza 12613, and Kohama, A. Sun . "Systematic analysis of reaction cross sections of carbon isotopes". United States. doi:10.1103/PHYSREVC.75.044607.
@article{osti_20995216,
title = {Systematic analysis of reaction cross sections of carbon isotopes},
author = {Horiuchi, W. and Suzuki, Y. and Abu-Ibrahim, B. and Department of Physics, Cairo University, Giza 12613 and Kohama, A.},
abstractNote = {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.},
doi = {10.1103/PHYSREVC.75.044607},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}