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Elastic \(\alpha\)- 12C scattering at low energies in cluster effective field theory

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Abstract.

The elastic \(\alpha\)- 12C scattering at low energies is studied employing an effective field theory in which the \(\alpha\) and 12C states are treated as elementary-like fields. We discuss scales of the theory in the stellar energy region where the 12C(\(\alpha\),\( \gamma\))16O process occurs, and then obtain an expression of the elastic scattering amplitudes in terms of effective-range parameters. Using experimental data of the phase shifts for l = 0, 1, 2 channels at low energies, for which the resonance regions are avoided, we fix values of the parameters and find that the phase shifts at the low energies are well reproduced by using three effective-range parameters for each channel. Furthermore, we discuss problems and uncertainties of the present approach when the amplitudes are extrapolated to the stellar energy region.

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Authors and Affiliations

  1. School of Mechanical and ICT Convergence Engineering, Sunmoon University, 31460, Asan, Chungnam, Republic of Korea

    Shung-Ichi Ando

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  1. Shung-Ichi Ando
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Correspondence to Shung-Ichi Ando.

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Communicated by M. Hjorth-Jensen

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Ando, SI. Elastic \(\alpha\)- 12C scattering at low energies in cluster effective field theory. Eur. Phys. J. A 52, 130 (2016). https://doi.org/10.1140/epja/i2016-16130-2

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  • DOI: https://doi.org/10.1140/epja/i2016-16130-2

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