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He-He-Ba三原子体系弱束缚态计算 被引量:1

Calculations of the binding energies of weakly bound He-He-Ba molecules
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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.
作者 勾庆东 李勇
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 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~~
关键词 He-He-Ba三体系统 超球坐标 halo态 Efimov态 He-He-Ba trimer hyperspherical coordinate halo state Efimov state
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