物理学报Issue(11)：1-8,8.DOI:10.7498/aps.64.112101
关于原子核电荷半径的研究∗
Investigations on the nuclear charge radii
摘要
Abstract
Experimental nuclear charge radii for 885 nuclei with N > 8 and Z > 8 have been systematically investigated. Results show that the formula for single parameter Z1/3 law is superior to that for the A1/3 law in describing nuclear charge radii. For two-parameter and three-parameter formulae, the Z1/3 law is as good as the A1/3 law. Considering the importance of shell effect and deformations for nuclear charge radii, we add a term including the Casten factor P into the conventional three-parameter formula and thus obtain very good results. The corresponding root-mean-square deviation falls toσ=0.0273 fm, i.e. reduced by about 50%when compared with the result obtained with the old three-parameter formula. Shell effect can be well reproduced for some elements by adding the Casten factor term. It is shown that the Casten factor plays a key role for nuclear charge radii. The odd-even staggering is a common phenomenon in many nuclear fields. This phenomenon can be observed with nuclear charge radii for most elements. For this reason, we add a δ term into the formula (10) in this paper. The root-mean-square deviation falls to σ=0.0266 fm. A five-parameter formula can well reproduce the variation of the nuclear charge radii for most elements. Calculated results are well consistent with the experimental data available. The differences between the experimental nuclear charge radii and the results calculated using the conventional three-parameter formula and the present five-parameter formula for the 885 selected nuclei are presented. A comparison of the formulae mentioned in this paper is given. The present five-parameter formula including the Casten factor P and the odd-even staggering is the best formula to fit available RC data and gives the smallest root-mean-square deviationσ. Our calculated results may be useful for future experiments.关键词
核电荷半径/Casten因子/奇偶摆动Key words
nuclear charge radius/the Casten factor/odd-even staggering引用本文复制引用
圣宗强,樊广伟,钱建发..关于原子核电荷半径的研究∗[J].物理学报,2015,(11):1-8,8.基金项目
国家自然科学基金(批准号:11247001,11447236)、安徽高校省级科学研究基金(批准号：KJ2012A083)和安徽省自然科学基金(批准号:1408085MA05)资助的课题 （批准号:11247001,11447236）
