Nucleon Densities of Atomic Nuclei

黃振麟(Jenn-Lin Hwang) ； 吳建明(Chien-Ming Wu)

《Chinese Journal of Physics》 2卷2期 (1964/10) Pp. 90-95

並列摘要

As reported in the previous paper (Chin. J. Phys. 2, 84 1964), two patterns of particle packing in the spherical shell can account for the systematics of nuclear radii, and from them the configuration of nucleons within the nucleus can be objectured in a classical manner. The aim of the present paper is twofold: First the possibility of such patterns of packing is examined quantitatively. Second the wave mechanical correspondence to the objectured nucleon configuration is seeked for.For these purposes, the nucleon densities of nucleus are defined and calculated in a classical manner. A universal function is furnished for determining the nucleon densities of any nucleus. The calculation shows that the maximum relative density in the nucleus is only 0.79 allowing the suggested patterns of particle packing. The calculated densities for nucleus of N=Z=82 and for that of gold-197 are then compared respectively with the Rotenberg's self-consistent field calculation and with the shell model wave function calculation of Ross, Mark and Lawson. A good conformity and a significant correspondence are obtained.