参数微扰法研究类氦碳离子C^(4+)的基态能量

Research on Ground State Energy of Helium-like Ion C^(4+) by Using Parameter Perturbation Method

建立含有屏蔽参数σ的类氦碳离子C^(4+)的哈密顿方程。以有效核电荷数为z*=6-σ类氢原子基态ls和激发态ns(n=2,3,…)组合的双电子波函数,作为类氦碳离子C^(4+)的基态近似波函数,应用参数微扰法研究类氦碳离子C^(4+)基态能量。计算结果表明,类氦碳离子C^(4+)的基态五级近似能量理论值与实验值的误差为ΔE≈10^(-4)a. u.。

Hamilton equation of the helium-like ion C^4+including shielding effect parametersσis established.A combination of the ground state ls and the excited state ns(n=2,3,…)wave functions of two hydrogen-like atom as the two electrons’wave function with effective nuclear charge number of z^*=6-σis chosen as the ground state approximate wave functions of the helium-like ion C^4+.The ground state energy of the helium-like ion C^4+is researched by using parameter perturbation method.The calculation results show that the error of the ground state energy of the ion C^4+in fifth order approximation with the perturbation methodΔE≈10^-4 a.u.is in comparison with the experimental values.