Debye屏蔽自洽势下Au50+离子的能级与振子强度

以惯性约束聚变实验中感兴趣的金的类铜离子(Au⁵⁰⁺)为例，讨论了等离子体中自由电子对复杂原子中电子行为的影响.采用受Debye屏蔽的Hartree-Fock-Slater自洽势，计算了Au⁵⁰⁺离子的主量子数n从1到7的28个本征态，得到了对应于一系列Debye长度Λ的能量本征值E_nl，即轨道束缚能，和能级之间的光学振子强度.与类氢情况相似：自由电子的屏蔽作用使所有能级均从无屏蔽时的位置向连续态移动，即电离限下移；对于每个能量本征态(n, 关键词：

THE ENERGY LEVELS AND OSCILLATOR STRENGTH OF A COMPLEX ATOM——Au50+ IN ASELF-CONSISTENT POTENTIAL

The effects of free electrons in a plasma on a complex atom are discussed, here we are interested in the target ionAu⁵⁰⁺ in inertia confined fusion(ICF). The results are compared with those in the case of hydrogenic ions. Accurate numerical solutions have been obtained for Schrdinger's equation through Debye screened Hartree-Fock-Slater self-consistent potential. Solutions have been computed for 28 eigenstates, 1s through n=7, l=6,yielding the energy eigenvalues for a wide range of Debye screening length Λ. As in the case of hydrogenic ions, under screening, all energy levels are shifted away from their unscreened values toward the continuum, that is, the ionization limits are shifted downward. Conclusions have been made that when Λ＞5a₀， that is, in the weak screening case, Debye screening has little effect on oscillator strength, average obital radius, transition matrix elements, etc., of Au⁵⁰⁺. For each (n,l) eigenstate, there is a finite value of screening length Λ₀(n,l), for which the energy becomes zero. When Λ is sufficiently small, level crossing appears at high n satets. Optical oscillator strength for Au⁵⁰⁺ has also been calculated, the results are compared with those under unscreened potential.