https://doi.org/10.1140/epja/s10050-024-01288-5
Regular Article - Theoretical Physics
Application of relativistic continuum random phase approximation to giant dipole resonance of 
Pb and 
Sn
1
Key Laboratory of Beam Technology of Ministry of Education, College of Nuclear Science and Technology, Beijing Normal University, 100875, Beijing, China
2
Institute of Radiation Technology, Beijing Academy of Science and Technology, 100875, Beijing, China
3
Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, 730000, Lanzhou, China
c
caolg@bnu.edu.cn
d
lei@bnu.edu.cn
e
fszhang@bnu.edu.cn
Received:
4
September
2023
Accepted:
27
February
2024
Published online:
13
March
2024
The relativistic continuum random phase approximation (RCRPA) is applied to describe the properties of isovector giant dipole resonances (IVGDR) in Pb and 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 Pb and Sn. A better agreement with photoabsorption cross section data is obtained for 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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
