MATHEMATICAL SCIENCES

Researchers have made progress in the study of covariant density functional theory


Recently, researchers from the Nuclear Physics Center of the Institute of Modern Physics of the Chinese Academy of Sciences and collaborators at the Technical University of Munich in Germany have made progress in the research of covariant density functional theory. The research team proposed a new set of optimized nonlinear point-coupled interactions (PC-L3R) that can simulate the effective interaction between nucleons and nucleons to quantify the bulk properties of atomic nuclei, and the results are published in Physics Letters B.

In recent years, with the vigorous development of radioactive ion beam and detector technology, new experiments have revealed a large number of peculiar nuclear structure phenomena in the regions of rich neutrons and rich protons. It is particularly important to theoretically describe these weakly bound nuclei far from the β stable line, and to provide reliable and critical guidance for future experiments from a theoretical point of view.

Compared with the previously constructed point-coupled interactions, the research team considered more reference objects in this study: including 91 experimentally confirmed spherical nuclei binding energies, charge radii of 63 spherical nuclei, and 12 sets of empirical pair energy gaps (provided by 54 nuclei). At the same time, in order to better reproduce the odd-even oscillation phenomenon of nuclear binding energy in experiments, researchers have optimized the force strength and dispersion degree of neutrons and protons.

The results show that the newly constructed PC-L3R point coupling interaction can not only give a description closer to the experimental data in terms of binding energy, but also reproduce the charge radius observed in the experiment. At the same time, the results of isotope and homoneutron chain show that PC-L3R can balance the contribution of Coulomb field and isospin channel to the Lassien quantity. PC-L3R point coupling interaction provides a reliable reference for future research on covariant density functional theory.

The research was supported by the Strategic Leading Science and Technology Project of the Chinese Academy of Sciences (Class B) (No. XDB34020100), the National Natural Science Foundation of China (No. 11775277), and the International Talent Program of the Chinese Academy of Sciences (No. 2019FYM0002). (Source: Institute of Modern Physics, Chinese Academy of Sciences)

Related paper information:https://doi.org/10.1016/j.physletb.2023.137946

Figure 1: 91 spherical nuclei (red dots) with small squares in the background representing nuclei whose binding energy has been experimentally measured. (Photo: Lu Ning, Lan Yihua)

Figure 2: Experimental rms of 91 spherical nuclei binding energies compared to theory. Among the many point-coupled interactions, the PC-L3R point-coupled interaction gives the theoretical binding energy closest to the experimental value. (Photo: Lan Yihua)

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