dorsal/arxiv
View SchemaSystematic analysis of reaction cross sections of carbon isotopes
| Authors | W. Horiuchi, Y. Suzuki, B. Abu-Ibrahim, A. Kohama |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612029 |
| URL | https://arxiv.org/abs/nucl-th/0612029 |
| DOI | 10.1103/PhysRevC.75.044607 10.1103/PhysRevC.76.039903 |
| Journal | Phys.Rev.C75:044607,2007; Erratum-ibid.C76:039903,2007 |
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.
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"abstract": "We systematically analyze total reaction cross sections of carbon isotopes\nwith N=6--16 on a $^{12}$C target for wide range of incident energy. The\nintrinsic structure of the carbon isotope is described by a Slater determinant\ngenerated from a phenomenological mean-field potential, which reasonably well\nreproduces the ground state properties for most of the even $N$ isotopes. We\nneed separate studies not only for odd nuclei but also for $^{16}$C and\n$^{22}$C. The density of the carbon isotope is constructed by eliminating the\neffect of the center of mass motion. For the calculations of the cross\nsections, we take two schemes: one is the Glauber approximation, and the other\nis the eikonal model using a global optical potential. We find that both of the\nschemes successfully reproduce low and high incident energy data on the cross\nsections of $^{12}$C, $^{13}$C and $^{16}$C on $^{12}$C. The calculated\nreaction cross sections of $^{15}$C are found to be considerably smaller than\nthe empirical values observed at low energy. We find a consistent\nparameterization of the nucleon-nucleon scattering amplitude, differently from\nprevious ones. Finally, we predict the total reaction cross section of $^{22}$C\non $^{12}$C.",
"arxiv_id": "nucl-th/0612029",
"authors": [
"W. Horiuchi",
"Y. Suzuki",
"B. Abu-Ibrahim",
"A. Kohama"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.044607 10.1103/PhysRevC.76.039903",
"journal_ref": "Phys.Rev.C75:044607,2007; Erratum-ibid.C76:039903,2007",
"title": "Systematic analysis of reaction cross sections of carbon isotopes",
"url": "https://arxiv.org/abs/nucl-th/0612029"
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