原子核电荷分布半径及结合能

从分析各方面实验结果(高能电子被核散射,μ—介原子的X谱)表明原子核电荷分布半径R_p很接近于和z^1/3成正比(R_p=r_opz^1/3。按照这看法修改了原子核结合能半经验公式(Bethe-Weizs?cker公式),把原来公式中库仑能项3/5 (z²e²)/r_pA^1/3)=a₃z²/A^1/3换成3/5 (z²e²)/r_opz^1/3) =a′₃z^5/3,结果改进了公式与实验符合的程度,并且按照新公式可以很正确地计算各元素中对β衰变最稳定的同位素的质量数。

RADIUS OF NUCLEAR CHARGE DISTRIBUTION AND NUCLEAR BINDING ENERGY

From the analysis of the experimental results (high energy electron scattering, X-ray spectra of μ-mesonic atoms), it is pointed out that the radius of nuclear charge distribution, R_p, is very nearly proportional to the cubic root of the atomic number z^1/3, ins tead of the usually accepted relation R_p∝A^1/3. Under this assumption, we have modified the semi-empirical mass formula. The Coulomb energy term is now assummed to be of the form 3/5 (z²e²)/r_opz^1/3).The aagreement of the nuclear binding energies calculated fromthe new fomula with the experimental data is definitely better than that of the old Bethe-Weizsacker formula. Also the mass numbers of the most beta-stable nuclei are very correctly predicated by the new formula.