Electron-positron pair production in the low-density approximation

doi:10.1007/s11467-015-0471-3

Front. Phys.

2015, Vol. 10

Issue (4) : 101202 https://doi.org/10.1007/s11467-015-0471-3

RESEARCH ARTICLE

Electron-positron pair production in the low-density approximation

Nuriman Abdukerim,Zi-Liang Li,Bai-Song Xie(

)

Key Laboratory of Beam Technology and Materials Modification of the Ministry of Education, and College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China

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Abstract

Electron–positron pair creation is studied in the low-density approximation by solving the quantum Vlasov equation exactly and the mapping equation approximately. The simpler mapping equation is an approximate treatment of the quantum Vlasov equation in which the continuous external field is regarded as a series of delta kicks. Our study indicates that this new treatment is appropriate because the results of the two methods are in good agreement with each other. However, as the period number increases, interference and a complicated structure in the momentum distribution are observed. Furthermore, we also obtain the square power law relation of the number density to the applied electric field strength.

Keywords pair production quantum Vlasov equation mapping equation

Corresponding Author(s): Bai-Song Xie

Issue Date: 17 August 2015

Cite this article:

Nuriman Abdukerim,Zi-Liang Li,Bai-Song Xie. Electron-positron pair production in the low-density approximation[J]. Front. Phys. , 2015, 10(4): 101202.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-015-0471-3
https://academic.hep.com.cn/fop/EN/Y2015/V10/I4/101202

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[1]	Mo-Ran Jia,Zi-Liang Li,Chong Lv,Feng Wan,Bai-Song Xie. Pair production in strong SU(2) background fields[J]. Front. Phys. , 2017, 12(5): 121101-.
[2]	Zi-Liang Li, Ding Lu, Bai-Song Xie. Dynamically assisted pair production for scalar QED by two fields[J]. Front. Phys. , 2015, 10(2): 101201-.
[3]	Obulkasim Oluk, Bai-Song Xie, Muhmmad Ali Bake, Sayipjamal Dulat. Electron–positron pair production in a strong asymmetric laser electric field[J]. Front. Phys. , 2014, 9(2): 157-163.

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