估算等离子体效应对类氢离子束缚态能级能量影响的新公式(英文)

A novel formula to estimate the plasma density effects on the energy levels of H-like ions from Z=6 to 30

在均匀电子气模型下,通过求解Dirac方程,计算了类氢离子束缚态能级能量与等离子体密度的关系,得到了能近似估算能级能量随等离子体密度变化的新拟合公式,该公式同样可以用以估算不同束缚态能级发生压致电离时的临界电子密度.通过与自洽场离子球模型计算结果的比较,作为一种简单和快捷的计算方法,均匀电子汽模型在近似计算束缚态能级能量及压致电离临界电子密度方面是自洽场离子球模型得很好近似方法.

By supposing ion-sphere boundary conditions, the atomic effective potential from the uniform electron gas model （UEGM） has been substituted into Dirac equation to calculate the bound level energies of Hlike ions in the electron density ranges from to. A fitting formula has been obtained to fast estimate the bound level energies under the different electron density and within the principal quantum number . The extrapolation of the fitting formula can also be used to estimate the critical electron densities of pressure ionization for the different levels of H-like ions. The comparison with self-consistent field （SCF） ion-sphere model shows that the uniform electron gas model is a usable approach to calculate the level energies and to estimate the critical electron density of pressure ionization.