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用相对论平均场(RMF)理论系统地计算了A<40的原子核的基态性质,讨论了轻核的均方根半径,给出了原子核均方根半径对原子核平均结合能及同位旋的依赖关系。在理论计算与实验数据的基础上,提出了一组唯象公式,用于描述A<40的所有原子核的质子与中子均方根半径,该公式考虑了原子核的平均结合能,分离能及同位旋效应,不仅可以很好地符合稳定核的均方根半径,也能符合远离(稳定线的原子核的半径,包括有晕结构的核。
The ground state properties of nuclei with A <40 are systematically calculated by using the theory of relativistic mean field (RMF). The root mean square radii of light nuclei are discussed. The dependence of mean square root radius of nuclei on the mean binding energy and isospin of nuclei is given . Based on the theoretical calculation and experimental data, a set of phenomenological formulas is proposed to describe the rms radii of proton and neutron for all nuclei with A <40. The formula takes into account the average binding energy of nuclei, the separation energy and The isospin effect not only conforms well to the root-mean-square radius of stable nuclei, but also fits far away from the radius of the stable nucleus, including the nucleus with halo structures.