混沌锂原子三电子不规则散射研究

Irregular scattering of triple electrons in chaotic lithium atom

本文采用经典方法分析了混沌锂原子中三电子的不规则散射(IS)现象。三电子的不规则散射区是由2个无量纲参数来体现得非常窄的窗口。在三角形构型的锂原子体系中,不规则散射区域中的三重电子存活概率将以正则化时间为函数而呈现衰减规律。结果表明:三重电子衰变的存活概率遵循代数定律P(τ)~τ^(-α),衰减指数α_(TE)=2.02;双电子衰变的存活概率也遵循代数定律,其衰减指数α_(DE)=0.78,并可以用外电子与原子核形成的长寿命开普勒轨道来解释。而三重电子衰减定律的解释是一个具有挑战性的问题,研究结果显示,不规则散射区三电子的典型长寿命轨迹是由2个突出的开普勒轨道组成的。此外,通过对三电子系统的T构形研究,揭示了代数衰变律的构型无关性。这种配置记忆损失可能与不规则散射区域三电子的共振有关。

In the present study,we analyze the irregular scattering(IS)of triple electrons in chaotic lithium atom by using classical method.The IS region of triple electrons is characterized by a very narrow window of two dimensionless parameters.The survival probability of the triple electrons in the IS region for the triangle configuration would decay as a function of a regularization time.It was demonstrated that the survival probability of triple electrons(TESP)decays follow an algebraic law P(τ)~τ^(-α) with a decay exponent α_(TE)=2.02.In addition,the survival probability of double electrons(DESP)decays follow an algebraic law either,the DESP decay exponent α_(DE)=0.78.The decay law for the DESP could be interpreted by a long-lived Kepler orbit formed by outer electron with the atomic kernel.Whereas the explain of the decay law for the TESP is a challenging problem.It was revealed that the typical long-lived trajectory of the triple-electrons in the IS region is composed by two prominent Kepler orbits.Further,a configurations-independent property of the algebraic decay law was studied via the T-shape of triple-electron system.This configuration memory loss may be related to the resonance of triple electrons in the IS region.