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Analysis of the reaction cross sections of \(^{15,16}C+^{12}C\) and \(^{15,16}C+^{27}Al\) at intermediate energies using microscopic optical potential and Glauber model

  • Regular Article –Theoretical Physics
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Abstract

The reaction cross sections of \(^{15,16}C+^{12}C\) and \(^{15,16}C+^{27}Al\) are calculated at intermediate energies using microscopic complex optical potential (OP) derived from Brueckner G-matrix. Glauber model (GM) with and without in-medium effects are also used for comparison. Different models for the density distributions such as deformed Fermi density, whose deformation parameters and radii are determined by RMF calculations, a harmonic oscillator (HO), harmonic oscillator plus Gaussian (HOG) and two-parameters Fermi (2pF) are used. It is found that \(^{16}C\) can be described by HO, HOG, and 2pF densities with the same matter radius \(\sim \)2.75 fm, while \(^{15}C\) can be described by HOG (\(^{14}C\) core and one neutron in the \(S_{1/2}\) state) with matter radius 2.88 fm, when using the OP in the calculation of the reaction cross section, which indicates the halo structure of \(^{15}C\). Glauber model with in-medium effects predicted matter radius 2.8 fm for both \(^{15}C\) and \(^{16}C\). A clear halo structure is shown in the extracted density distribution of \(^{15}C\) predicted by both the OP and GM models, while for \(^{16}C\) a neutron skin, in the range 0.3-0.4 fm, which is smaller than of \(^{15}C\), is predicted without a long extended tail, as that predicted for \(^{15}C\), which indicates the absence of halo structure for \(^{16}C\), in contrast with most of the other predictions.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Its a theoretical work without data. Only figures.]

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Authors and Affiliations

  1. Department of Mathematics and Theoretical Physics, AEA, Cairo, Egypt

    M. Rashdan

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Communicated by Pierre Capel

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Rashdan, M. Analysis of the reaction cross sections of \(^{15,16}C+^{12}C\) and \(^{15,16}C+^{27}Al\) at intermediate energies using microscopic optical potential and Glauber model. Eur. Phys. J. A 56, 130 (2020). https://doi.org/10.1140/epja/s10050-020-00139-3

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  • DOI: https://doi.org/10.1140/epja/s10050-020-00139-3

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