单个谐振子波函数中的有效β值  

The Effective β Value in a Simple Harmonic Oscillator Wave Function

作　　者：王朝辉 唐龙 李亭彦 郑公平 胡京馥 庞成群 WANG Chaohui;TANG Long;LI Tingyan;ZHENG Gongping;HU Jingfu;PANG Chengqun(College of Physics and Electronic Information Engineering,Qinghai Normal University,Xining 810000,China;Joint Research Center for Physics,Lanzhou University and Qinghai Normal University,Xining 810000,China;Lanzhou Center for Theoretical Physics,Key Laboratory of Theoretical Physics of Gansu Province,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]青海师范大学物理与电子信息工程学院,西宁810000 [2]兰州大学与青海师范大学物理联合研究中心,西宁810000 [3]兰州理论物理中心(筹)/甘肃省理论物理重点实验室,兰州730000

出　　处：《原子核物理评论》2022年第2期160-171,共12页Nuclear Physics Review

基　　金：National Natural Science Foundation of China(11965016, 12047501);Science and Technology Department of Qinghai Province(2018-ZJ-971Q)。

摘　　要：当一个简单谐振子波函数(SHO)作为有效波函数时,在SHO波函数里面一个重要的参数是有效β值。得到了简单谐振子波函数有效β值(β_(eff))在坐标空间和动量空间的解析表达式。将解析式运用到轻介子系统(uu,us)比较β_(eff)的行为,结果表明在基态时坐标空间的β_(eff,r)和动量空间的β_(eff,p)在康奈尔势下的值不相同,而在高激发态时两者大小相近。When a Simple Harmonic Oscillator(SHO) wave function is used as an effective wave function,a very important parameter in the SHO wave function is the effective β value(β_(effective)).We obtain the analytical expression of β_(eff)(β_(effective)) of the SHO wave function in coordinate space and momentum space.The expression is applied to the light meson system (uu,us) to compare the behavior of β_(eff).The results show that β_(eff,r) in coordinate space and β_(eff,p) in momentum space are significantly different in the ground state,however,similar in the highly excited states with Cornell potential.

关 键 词：夸克模型 谐振子波函数 有效β值 

分 类 号：O571.6[理学—粒子物理与原子核物理]