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Alpha-induced inelastic scattering and alpha-transfer reactions in \(^{12}\)C and \(^{16}\)O within the Algebraic Cluster Model

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Abstract

The molecular algebraic model based on three and four alpha clusters is used to describe the inelastic scattering of alpha particles populating low-lying states in \(^{12}\)C and \(^{16}\)O. Optical potentials and inelastic formfactors are obtained by folding densities and transition densities obtained within the molecular model. One-step and multi-step processes can be included in the reaction mechanism calculation. In spite of the simplicity of the approach the molecular model with rotations and vibrations provides a reliable description of reactions where \(\alpha \)-cluster degrees of freedom are involved and good results are obtained for the excitation of several low-lying states. Within the same model we briefly discuss the expected selection rules for the \(\alpha \)-transfer reactions from \(^{12}\)C and \(^{16}\)O.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data related to this work are available from the authors on request.]

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Acknowledgements

This work has been partially supported by SID funds (Investimento Strategico di Dipartimento, Università degli Studi di Padova, Italy) under Project No. CASA_SID19_01.

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Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Padova, Italy

    Jesus Casal, Lorenzo Fortunato & Andrea Vitturi

  2. INFN Sezione di Padova, Padova, Italy

    Jesus Casal, Lorenzo Fortunato & Andrea Vitturi

  3. INFN Sezione di Catania, Catania, Italy

    Edoardo G. Lanza

  4. Dipartimento di Fisica e di Astronomia “Ettore Majorana”, Università di Catania, Catania, Italy

    Edoardo G. Lanza

Authors
  1. Jesus Casal
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  2. Lorenzo Fortunato
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  3. Edoardo G. Lanza
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  4. Andrea Vitturi
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Corresponding author

Correspondence to Andrea Vitturi.

Additional information

Communicated by Nicolas Alamanos

This contribution is dedicated to the memory of Mahir Hussein, an exceptional scientist but in primis a good friend.

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Casal, J., Fortunato, L., Lanza, E.G. et al. Alpha-induced inelastic scattering and alpha-transfer reactions in \(^{12}\)C and \(^{16}\)O within the Algebraic Cluster Model. Eur. Phys. J. A 57, 33 (2021). https://doi.org/10.1140/epja/s10050-021-00347-5

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00347-5

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