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原子核电荷分布半径及结合能
引用本文:曾谨言. 原子核电荷分布半径及结合能[J]. 物理学报, 1957, 13(5): 357-364
作者姓名:曾谨言
作者单位:北京大学物理系
摘    要: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z1/3成正比(Rp=ropz1/3。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)/rpA1/3)=a3z2/A1/3换成3/5 (z2e2)/ropz1/3) =a′3z5/3,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。

收稿时间:1957-01-12

RADIUS OF NUCLEAR CHARGE DISTRIBUTION AND NUCLEAR BINDING ENERGY
TSENG CHIN-YUEN. RADIUS OF NUCLEAR CHARGE DISTRIBUTION AND NUCLEAR BINDING ENERGY[J]. Acta Physica Sinica, 1957, 13(5): 357-364
Authors:TSENG CHIN-YUEN
Abstract: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, Rp, is very nearly proportional to the cubic root of the atomic number z1/3, ins tead of the usually accepted relation Rp∝A1/3. 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)/ropz1/3).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.
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