Analysis For The Triple-Differential Cross-section For Electron-Atom Ionization Of Excited State Of Hydrogen Atom In Presence Assisted Of Laser Fields

In order to understand the micro particle movement in-depth, Quantum scattering is an independent discipline for more system of further research.As the most basic (e,2e) reaction was applied to various kinds of theoretical and experimental study,Laser assisted (e,2e) reaction is the most widely focused, it is applied to a variety of theoretical research, analysis of atomic molecular and solid membrane and the surface electronic structure have been used most widely.Although, there are some limitations on the selection of geometry sometimes, the theoretical research is still worth to be paid attention.The calculation has been starting from the schrodinger equation.Incident electron with the same direction of laser field launch to an excited state of hydrogen atoms, We treat the whole process of geometry as asymmetrical coplanar (Ehrhardt geometry.In this paper, When the collision occurred in cases of Free field、Laser assisted without stark effect and Laser assisted with stark effect (The target state ,respectively,Hereinafter referred to as target state+ nd target state-.),the calculation has been starting from the schrodinger equation.When describing the reaction of fast electrons (incident electron, scattering electrons) and eject electrons,(e,2e) scattering system is commonly described by Volkov wave functions and Coulomb-Volkov wave functions.Target particles were selected Φ210、target state+① and target state-② with laser assisted and stark effect. We will use some kinds of special function(Bessel function, produce function and superfluid geometric function, etc)to calculate the scattering matrix and transition matrix elements.Finally, we often use the transition matrix elements to draw the triple differential scattering cross section image by using software. We found that the binary peak which is splited in the triple differential scatteringcross section image of excited state of hydrogen atom. The recoil peak didn’t appear in our study(there are some complex causes, which this article doesn’t research.).After the splitting,the change of Binary peak which with effective charge, scattering Angle and the intensity of the laser field, always follow the law of ground state of hydrogen atom.With the increasing of above factors,Two binary peak will closer to each other.The shapes of the two binary peaks (the target state+and target state-)are different.