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The Effects for Density and Initial Momentum of Electrons on the Self-Injection and Acceleration in Laser Wakefield Acceleration

LIU Ming-ping1,TAO Zhi-peng2,ZHONG Xi-juan3,TAO Xiang-yang2,LIU San-qiu3(1.College of Information Engineering,Nanchang University,Nanchang Jiangxi 330031,China; 2.College of Physics & Communication Electronics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 3.Department of Physics,Nanchang University,Nanchang Jiangxi 330031,China)  
The equation of electron momentum in the wakefield during the laser-plasma interaction has been derived by using the Hamiltonian theory.The dependences of electron self-injection and acceleration on the plasma density and initial momentum have been discussed in detail.It is found that electrons with certain initial momentum can be trapped and accelerated forward in the wakefield,while electron with px0=0 participates in the wake field oscillation.The lower the plasma density is,the larger the electron momentum is,i.e.,the electron gains more energy.The theoretical results are consist with those of PIC simulations.The results may be significant theoretically to the mechanism of ultraintense laser-wakefield acceleration.
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