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Systematic study of elastic proton-nucleus scattering using relativistic impulse approximation based on covariant density functional theory

  • Regular Article - Theoretical Physics
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Abstract

In this work, we apply relativistic impulse approximation (RIA) with a modern density functional PC-PK1 to systematically analyze the available experimental data at \(40 < E_{p} \le 200\) MeV. The theoretical calculations successfully reproduce the numerous experimental data of the elastic-scattering cross sections and analyzing power for both even and odd nuclei in a wide range of mass number (\(12 \le A \le 232\)) and incident energies (\(40 < E_{p} \le 200\) MeV). Moreover, a strong correlation between the root-mean-square (rms) radius of the neutron distribution and the inverse of momentum transfer corresponding to the minimum of the cross section is demonstrated again. We have further confirmed the validity of RIA and the universality of the density functional PC-PK1. This work also provides a good basis to incorporate the ab-initio relativistic chiral force and the medium effect using G-matrix to the present RIA framework.

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Data availability statement

This manuscript has associated data in a data repository. [Authors’ comment: This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data is available upon request from the author.]

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Acknowledgements

The authors thank Dr. Sibo Wang for valuable discussions and communications. This work is supported by the National Natural Science Foundation of China (Grants No. 11875225, No. 12022504, No. 12121005 and No. 11935003), by the Fundamental Research Funds for the Central Universities, and by the Fok Ying-Tung Education Foundation, China.

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Authors and Affiliations

  1. School of Physical Science and Technology, Southwest University, Chongqing, 400715, China

    Y. Kuang & Z. P. Li

  2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    X. L. Tu & J. T. Zhang

  3. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, 100049, China

    X. L. Tu

  4. School of Nuclear Science and Technology, Lanzhou University, Lanzhou, 730000, China

    J. T. Zhang

  5. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing, 100871, China

    K. Y. Zhang

  6. Institute of Nuclear Physics and Chemistry, CAEP, Mianyang, 621900, Sichuan, China

    K. Y. Zhang

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  1. Y. Kuang
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  2. X. L. Tu
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  3. J. T. Zhang
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  5. Z. P. Li
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Correspondence to Z. P. Li.

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Communicated by Dario Vretenar.

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Kuang, Y., Tu, X.L., Zhang, J.T. et al. Systematic study of elastic proton-nucleus scattering using relativistic impulse approximation based on covariant density functional theory. Eur. Phys. J. A 59, 160 (2023). https://doi.org/10.1140/epja/s10050-023-01072-x

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