Radii, Surface Diffuseness, and Binding Energies of Atomic Nuclei

黃振麟(Jenn-Lin Hwang) ； 楊亞仙(Yah-Shian Yang)

《Chinese Journal of Physics》 2卷1期 (1964/04) Pp. 32-41

並列摘要

In efforts for seeking for a theoretical basis of the previously proposed rules for calculating nuclear radii, the procedure of Green is reversed to determine a family of nuclear potentials. These potentials have flat bases and exponential tails. The radius of inner region and surface diffuseness of the potential are firstly determined for the entire range of mass number A from the nuclear radii predicted by the proposed rules. The depth is then adjusted so as to give the correct trends of the binding energies of the last nucleons. To test the depth and the diffuseness thus determined, the location of the 3s and 4s maxima in the neutron cross section is determined and is compared with the experimental data on the s-wave strength function. For proton potentials, 3s maximum locates at A=55 and 4s maximum at A=162, which agrees with the prediction of most theories using spherical nuclei.