Irregular scattering of triple electrons in chaotic lithium atom

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.