原子核体系能级综合模型的解析解  

The Nucleus System Level Analytic Solution of the Comprehensive Model

作　　者：李重石[1] 陈永红[1] 李华 LI Zhong-shi CHEN Yong-hong LI Hau(The Department of Physics, YILI normal university, Yining 835000, China YILI Normal School Xinjing, Yining 835000, China)

机构地区：[1]伊犁师范学院物理系 [2]伊犁职业中专(师范)学校,新疆伊宁835000

出　　处：《安徽师范大学学报（自然科学版）》2017年第1期33-37,共5页Journal of Anhui Normal University(Natural Science)

基　　金：新疆伊犁哈萨克自治州教育局2013-2015教育规划项目(YLI13386)

摘　　要：基于对原子核定态能级实验事实进行分析,通过单核子在平均自洽场中独立运动模型,将壳层模型汤川秀树势和伍德萨松势分析模拟,建立汤川-伍德-萨松-势(Y-W-S-P).并结合液滴模型势能的特性,魏扎克(C.F.Weizsacker)公式建立综合模型势,同时建立了相应的定态薛定谔方程.应用泰勒微扰法和类氢原子能量表象的径向矩阵元的精要形式,求得一级微扰能和零级能,导出了原子核能级精细结构解,其结果与实验值有可比性.Through the nuclear shell model and single nuclear independence movement in the average self- consistent field model, establish Yukawa -Wood-Saxon-potential, combined with the liquid drop model to set up a comprehensive model potential and the corresponding potential energy features time-independent Schrodinger equation. Apply Taylor perturbation method and radial matrix element of hydrogen energy representation. And then get the analytical solution of the nuclear energy level. Calculation of several bound state energy levei structure of the nucleus. Results are comparable with the experimental value.

关 键 词：自洽场中单核子独立运动模型 液滴模型与壳层模型 Y-W-S-势 自旋-轨道耦合 综合模型 泰勒-微扰法. 

分 类 号：O571.2[理学—粒子物理与原子核物理]