Study For Electron-atom Ionization Of Hydrogen Atom In Presence Assisted Of Laser Field

Scattering is one of the means for modern physics to reveal physical phenomena.(e,2e)reaction is one of the simplest cases in scattering,With the development of laser technology and related disciplines,(e,2e)reaction under laser field are of great importance both in theory and in practice.The result of an electron being ionized to form two electrons,it is a typical scattering problem.It is also a basic physical problem in the field of atomic and molecular physics.The state of the quantum system,because of the reasons of statistical or the reasons of the quantum mechanics itself.It can not be described by a state vector.The system is not in a certain state but it may be in different states,corresponding probability respectively.This state can not be expressed by a state vector,which is called mixed states.This paper is concerned with the problem of laser field assisted reaction.When the hydrogen atom is used as the target particle,when the hydrogen atom is in the mixed state,it is or without the stark effect,the change of three differential scattering cross section.Three-body problem can't be solved because of laser filed and the residual impact the ejected electron.we should solve the problem under the help of other approximation methods.we use Born approximation treatments in the article.We use Volkov or Coulomb-Volkov waves to describe the state of incident electron,scattering electron and ejected electron in the presence of the laser filed.The initial state is described by incident electron and target atom product.Finally,the target wave function is obtained from the knowledge of density matrix..We calculate scattering matrix elements transition matrix elements and the triple differential cross sections under the condition of first Born treatment.Under the help of Mathematica,we can obtain the picture of the triple differential cross sections.When the hydrogen atom is in a mixed state,when the Stark effect is not taken into account,the binary peak decreases with the increases of the scattering angle and the electron energy,the binary peak increases with the increase of the number of effective charges.When the Stark effect is considered,the peak value of binary increases with the increases of the effective charge number of the laser field,and the peak value of the binary is reduced with the increase of the scattering angle and the increase of the electron energy.