Critical nuclear charge and shape resonances for the two-electron Hamiltonian

29th International Conference on Photonic, Electronic, and Atomic Collisions

Yan, Z.-C.^1,2 ; Ho, Y.K.^3

University of New Brunswick, Canada^1

Wuhan Institute of Physics and Mathematics, China^2

Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan^3

关键词: E state;    Electron Hamiltonian;    Hylleraas coordinates;    Method of complex;    Nuclear charges;    Shape resonance;    Significant digits;    Variational methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/635/5/052015/pdf
DOI  :  10.1088/1742-6596/635/5/052015

来源: IOP

【 摘 要 】

We report an improved calculation for the energy of the 2p2 3Pestate of H-and a new determination of the critical nuclear charge Zcrfor the 2p2 3Pestate of the two-electron Hamiltonian, using the variational method in Hylleraas coordinates. The achieved precision for the energy and the critical nuclear charge is accurate, respectively, to 29 and 15 significant digits. We further investigate the resonance regime of Z ≤ Zcrusing the method of complex scaling.