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结合原子核电荷半径实验数据,对885个中子数N 8和质子数Z 8的核电荷半径做了系统的研究.对于单参数核电荷半径公式,Z1/3律公式计算的结果优于A1/3律的结果,而对于两参数和三参数公式,Z1/3律和A1/3律的结果基本相当.考虑到壳效应及奇偶摆动现象,在原有的三参数公式基础上提出了加入Casten因子项和δ项的核电荷半径新公式.利用该公式计算得到的核电荷半径理论值和实验值符合得非常好,均方根偏差仅为σ=0.0266 fm,此值比常用的三参数公式的结果下降了近50%,理论计算值能更好地反映出壳效应及核电荷半径奇偶摆动的变化趋势.
The nucleus charge radius of 885 neutron numbers N 8 and proton numbers Z 8 were systematically studied with the experimental data of atomic charge radius.The results of Z 1/3 law formula were better than those of A1 / 3 law results, and for the two-parameter and three-parameter formulas, the results of the Z1 / 3 law and the A1 / 3 law are basically the same.Considering the shell effect and the phenomenon of parity oscillation, based on the original three-parameter formula proposed by adding Casten factor Term and the δ-term nuclear charge radius of the new formula.The calculated theoretical value of the radius of the nuclear charge and the experimental value in line with the very good, the root mean square deviation of only σ = 0.0266 fm, this value than the commonly used three-parameter formula The result is reduced by nearly 50%. The theoretical calculation value can better reflect the change tendency of the shell effect and the odd-even swing of the nuclear charge radius.