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Application of relativistic continuum random phase approximation to giant dipole resonance of \(^{208}\)Pb and \(^{132}\)Sn

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Abstract

The relativistic continuum random phase approximation (RCRPA) is applied to describe the properties of isovector giant dipole resonances (IVGDR) in \(^{208}\)Pb and \(^{132}\)Sn with NL3 effective interaction. We analyze the strength distribution, various sum rules, centroid energies and the integral photoabsorption cross sections of the pygmy dipole resonance (PDR) and giant dipole resonance (GDR), the results are compared to the values obtained by discretized RRPA and available experimental data. Difference between the results obtained by RRPA and RCRPA is found, which may due to the different ways in treating the contribution of continuum. The calculated centroid energies of GDR can reproduce the experimental data well for \(^{208}\)Pb and \(^{132}\)Sn. A better agreement with photoabsorption cross section data is obtained for \(^{132}\)Sn in the RCRPA calculation. By correlating the excitation energy (the electric dipole polarizability) of GDR to the nuclear matter properties, we could constrain the density dependence of symmetry energy. The deduced nuclear symmetry energy is located in the range 30.3–36.5 MeV (30.8–32.8 MeV), and the slope parameter L essentially covers the range of 40.1–106.1 MeV (40.0–63.0 MeV) at the saturation density.

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Data Availability Statementy

This manuscript has associated data in a data repository. [Author’s comment: This is a theoretical study and the experimental data used here are referenced or the source is acknowledged. And all the data generated in this article are included in the manuscript.]

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 12275025, 11975096, 12135004, 11635003, 11961141004, and the Fundamental Research Funds for the Central Universities under Grant No. 2020NTST06.

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Authors and Affiliations

  1. Key Laboratory of Beam Technology of Ministry of Education, College of Nuclear Science and Technology, Beijing Normal University, Beijing, 100875, China

    Shuai Sun, Run-Qiu Yu, Li-Gang Cao, Chun-Lei Zhang & Feng-Shou Zhang

  2. Institute of Radiation Technology, Beijing Academy of Science and Technology, Beijing, 100875, China

    Shuai Sun, Run-Qiu Yu, Li-Gang Cao, Chun-Lei Zhang & Feng-Shou Zhang

  3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou, 730000, China

    Feng-Shou Zhang

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  1. Shuai Sun
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  2. Run-Qiu Yu
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  3. Li-Gang Cao
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  4. Chun-Lei Zhang
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Correspondence to Li-Gang Cao, Chun-Lei Zhang or Feng-Shou Zhang.

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Communicated by Denis Lacroix.

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Sun, S., Yu, RQ., Cao, LG. et al. Application of relativistic continuum random phase approximation to giant dipole resonance of \(^{208}\)Pb and \(^{132}\)Sn. Eur. Phys. J. A 60, 61 (2024). https://doi.org/10.1140/epja/s10050-024-01288-5

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