He-He-Ba三原子体系弱束缚态计算  

Calculations of the binding energies of weakly bound He-He-Ba molecules

作　　者：勾庆东[1,2] 李勇[1] 

机构地区：[1]华中师范大学物理科学与技术学院,武汉430079 [2]井冈山大学物理系,吉安343009

出　　处：《物理学报》2015年第19期73-80,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11464020;11164010)资助的课题~~

摘　　要：本文利用含有绝热近似的超球坐标方法计算了碱土金属原子Ba和氦原子组成的弱束缚三原子分子体系He2Ba的基态性质.系统地研究了该系统的道函数和超球势曲线特征,进而得到体系的束缚能.研究结果显示,138Ba与4He,3He的各种组合4He-4He-138Ba,4He-3He-138Ba和3He-3He-138Ba都分别只有一个束缚态.The three-body Schr-dinger equation is approximately solved in the hyperspherical coordinates and the binding energies of the three-body weakly bound systems are calculated with the purpose to find if He-He-Ba trimers could exist. Using the special feature of the B-spline function like the flexible and highly localized properties, hypersphercial potentials are obtained by modifying the knots distribution of the B-spline basis of different weakly bound three-atom systems. Employing the best empirical interaction potentials between each pair of particles, we obtain that in the ground state binding energies of the weakly bound typical three-atom systems, the bindings of the molecules, 4He-4He-138Ba, 4He-3He-138Ba and 3He-3He-138Ba are possible. The binding energies of these systems are shown in the order of 1 Kelvin, each system could support only one bound state. These weakly bound molecules can exist only in a very cold environment. To get insight into the geometry of the molecules, the features of the channel functions associated with the hyperspherical potential curves of each system are investigated.

关 键 词：He-He-Ba三体系统 超球坐标 halo态 Efimov态 

分 类 号：O562[理学—原子与分子物理]