中国物理B ›› 2011, Vol. 20 ›› Issue (5): 53101-053101.doi: 10.1088/1674-1056/20/5/053101

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High accuracy calculation of the hydrogen negative ion in strong magnetic fields

赵继军, 王晓峰, 乔豪学   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2010-09-14 修回日期:2010-10-01 出版日期:2011-05-15 发布日期:2011-05-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10874133).

High accuracy calculation of the hydrogen negative ion in strong magnetic fields

Zhao Ji-Jun(赵继军), Wang Xiao-Feng(王晓峰), and Qiao Hao-Xue(乔豪学)   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • Received:2010-09-14 Revised:2010-10-01 Online:2011-05-15 Published:2011-05-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10874133).

摘要: Using a full configuration-interaction method with Hylleraas-Gaussian basis function, this paper investigates the 110+, 11(–1)+ and 11(–2)+ states of the hydrogen negative ion in strong magnetic fields. The total energies, electron detachment energies and derivatives of the total energy with respect to the magnetic field are presented as functions of magnetic field over a wide range of field strengths. Compared with the available theoretical data, the accuracy for the energies is enhanced significantly. The field regimes 3 < γ < 4 and 0.02 < γ < 0.05, in which the 11(–1)+ and 11(–2)+ states start to become bound, respectively, are also determined based on the calculated electron detachment energies.

关键词: strong magnetic field, hydrogen negative ion, total energy, electron detachment energy

Abstract: Using a full configuration-interaction method with Hylleraas--Gaussian basis function, this paper investigates the 1$^{1}$0$^{ + }$,  1$^{1}$(--1)$^{ + }$ and 1$^{1}$(--2)$^{ + }$ states of the hydrogen negative ion in strong magnetic fields. The total energies, electron  detachment energies and derivatives of the total energy with respect to the magnetic field are presented as functions of magnetic field over a  wide range of field strengths. Compared with the available theoretical data, the accuracy for the energies is enhanced significantly. The field  regimes $3 < \gamma < 4$ and $0.02 < \gamma < 0.05$, in which the 1$^{1}$(--1)$^{ + }$ and 1$^{1}$(--2)$^{ + }$ states start to become bound,  respectively, are also determined based on the calculated electron detachment energies.

Key words: strong magnetic field, hydrogen negative ion, total energy, electron detachment energy

中图分类号:  (Theory of electronic structure, electronic transitions, and chemical binding)

  • 31.10.+z
31.15.-p (Calculations and mathematical techniques in atomic and molecular physics) 31.15.ac (High-precision calculations for few-electron (or few-body) atomic systems) 31.15.V- (Electron correlation calculations for atoms, ions and molecules)