The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our r...The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our results not only verify the existing values of Hori et al.[Phys.Rev.A 89,042515(2014)]for the fine structure of π^(4)He^(+),but also determine the hyperfine structure of π^(3)He^(+).展开更多
The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that t...The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that the effect of symmetry such as rotation,space inversion,and permutation is to impose nodal surfaces on the components of the wavefunction.Based on the nodal surface,a classification of quantum states of ABA systems is presented.It is found that the quantum symmetry plays a crucial role in determing the energy levels and structures of the low-lying states.展开更多
The fine structure constant α can be extracted from high-precision spectroscopy of the 23 P J fine structure splittings in helium and light helium-like ions. In this work, the 23 P J fine structure splittings of heli...The fine structure constant α can be extracted from high-precision spectroscopy of the 23 P J fine structure splittings in helium and light helium-like ions. In this work, the 23 P J fine structure splittings of helium and Li+ion are calculated,including relativistic and QED corrections of order mα4, mα4(m/M), mα5, mα5(m/M), and Douglas–Kroll operators of mα6and mα6(m/M), which provide an independent verification for the previous calculations performed by Drake [Can.J. Phys. 80 1195(2002)] and by Pachucki and Yerokhin [Phys. Rev. A 79 062516(2009); Phys. Rev. Lett. 104 070403(2010); Can. J. Phys. 89 1139(2011)]. The results of the three groups agree with each other.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 11974382 and 11474316)the support from NSERC and SHARCnet of Canada
文摘The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our results not only verify the existing values of Hori et al.[Phys.Rev.A 89,042515(2014)]for the fine structure of π^(4)He^(+),but also determine the hyperfine structure of π^(3)He^(+).
文摘The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that the effect of symmetry such as rotation,space inversion,and permutation is to impose nodal surfaces on the components of the wavefunction.Based on the nodal surface,a classification of quantum states of ABA systems is presented.It is found that the quantum symmetry plays a crucial role in determing the energy levels and structures of the low-lying states.
基金Supported by the National Natural Science Foundation of China under Grant No 10374119, and the 0ne-Hundred-Talents Project of Chinese Academy of Science. ACKN0WLEDGMENTS： We gratefully acknowledge Professors Ding Peizhu and Liu Xueshen for their hospitality and help with the symplectic al- gorithm.
文摘有 oftime 依赖的 Schrodinger 方程(TDSE ) 被介绍的为答案的 symplectic 算法方法的 B 花键。波浪功能的空间部分被 B 花键扩展，时间进化在一个 symplectic 计划被给。这个方法允许我们获得 TDSE 的一个高度精确、稳定的答案。这个方法的有效性和效率被一个维的原子的高顺序的泛音系列与另外的参考书比较表明。
基金Project supported by the National Natural Science Foundation of China （Grant Nos 10374119 and 10674154）, and The 0ne- Hundred-Talents Project of Chinese Academy of Science.Acknowledgments We gratefully acknowledge Professor Ding P Z and Professor Liu X S for their hospitality and help in symplectic algorithm.
基金supported by the National Basic Research Program of China(Grant No.2010CB832803)
文摘The fine structure constant α can be extracted from high-precision spectroscopy of the 23 P J fine structure splittings in helium and light helium-like ions. In this work, the 23 P J fine structure splittings of helium and Li+ion are calculated,including relativistic and QED corrections of order mα4, mα4(m/M), mα5, mα5(m/M), and Douglas–Kroll operators of mα6and mα6(m/M), which provide an independent verification for the previous calculations performed by Drake [Can.J. Phys. 80 1195(2002)] and by Pachucki and Yerokhin [Phys. Rev. A 79 062516(2009); Phys. Rev. Lett. 104 070403(2010); Can. J. Phys. 89 1139(2011)]. The results of the three groups agree with each other.
