Please wait a minute...
Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Frontiers of Physics  2015, Vol. 10 Issue (4): 101202-    DOI: 10.1007/s11467-015-0471-3
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
全文: PDF(6486 KB)  

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.

Key wordspair production    quantum Vlasov equation    mapping equation
收稿日期: 2015-01-26      出版日期: 2015-08-17
. [J]. Frontiers of Physics, 2015, 10(4): 101202-.
Nuriman Abdukerim, Zi-Liang Li, Bai-Song Xie. Electron-positron pair production in the low-density approximation. Front. Phys. , 2015, 10(4): 101202-.
链接本文:      或
1 F. Sauter, Uber das Verhalten eines Elektrons im homogenen elektrischen Feld nach der relativistischen Theorie Diracs, Z. Phys. 69(11-12), 742 (1931)
doi: 10.1007/BF01339461
2 W. Heisenberg and H. Euler, Folgerungen aus der Diracschen Theorie des Positrons, Z. Phys. 98(11-12), 714 (1936)
doi: 10.1007/BF01343663
3 J. S. Schwinger, On Gauge invariance and vacuum polarization, Phys. Rev. 82(5), 664 (1951)
doi: 10.1103/PhysRev.82.664
4 E. Brezin and C. Itzykson, Pair production in vacuum by an alternating field, Phys. Rev. D 2(7), 1191 (1970)
doi: 10.1103/PhysRevD.2.1191
5 R. Alkofer, M. B. Hecht, C. D. Roberts, S. M. Schmidt, and D. V. Vinnik, Pair creation and an X-ray free electron laser, Phys. Rev. Lett. 87(19), 193902 (2001)
doi: 10.1103/PhysRevLett.87.193902
6 C. D. Roberts, S. M. Schmidt, and D. V. Vinnik, Quantum effects with an X-ray free-electron laser, Phys. Rev. Lett. 89(15), 153901 (2002)
doi: 10.1103/PhysRevLett.89.153901
7 A. Ringwald, Pair production from vacuum at the focus of an X-ray free electron laser, Phys. Lett. B 510(1-4), 107 (2001)
8 V. S. Popov, Pair production in a variable external field (Quasiclassical approximation), Sov. Phys. JETP 34, 709 (1972)
9 M. S. Marinov and V. S. Popov, Electron–positron pair creation from vacuum induced by variable electric field, Fortschr. Phys. 25(1-12), 373 (1977)
10 S. S. Bulanov, Pair production by a circularly polarized electromagnetic wave in a plasma, Phys. Rev. E 69(3), 036408 (2004)
doi: 10.1103/PhysRevE.69.036408
11 G. V. Dunne and Q. H. Wang, Multidimensional worldline instantons, Phys. Rev. D 74(6), 065015 (2006)
doi: 10.1103/PhysRevD.74.065015
12 R. Schützhold, H. Gies, and G. V. Dunne, Dynamically assisted Schwinger mechanism, Phys. Rev. Lett. 101(13), 130404 (2008)
doi: 10.1103/PhysRevLett.101.130404
13 B. S. Xie, M. Melike, and D. Sayipjamal, Electron–positron pair production in an elliptic polarized time varying field, Chin. Phys. Lett. 29(2), 021102 (2012)
doi: 10.1088/0256-307X/29/2/021102
14 F. Hebenstreit, R. Alkofer, G. V. Dunne, and H. Gies, Momentum signature for Schwinger pair production in short laser pulses with a subcycle structure, Phys. Rev. Lett. 102(15), 150404 (2009)
doi: 10.1103/PhysRevLett.102.150404
15 F. Hebenstreit, R. Alkofer, and H. Gies, Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory, Phys. Rev. D 82(10), 105026 (2010)
doi: 10.1103/PhysRevD.82.105026
16 O. Oluk, B. S. Xie, M. A. Bake, and S. Dulat, Electron– positron pair production in a strong asymmetric laser electric field, Front. Phys. 9(2), 157 (2014)
doi: 10.1007/s11467-013-0379-8
17 Z. L. Li, D. Lu, and B. S. Xie, Dynamically assisted pair production for scalar QED by two fields, Front. Phys. 10(1), 101201 (2015)
doi: 10.1007/s11467-014-0455-8
18 T. Heinzl, A. Ilderton, and M. Marklund, Finite size effects in simulated laser pair production, Phys. Lett. B 692(4), 250 (2010)
doi: 10.1016/j.physletb.2010.07.044
19 M. Orthaber, F. Hebenstreit, and R. Alkofer, Momentum spectra for dynamically assisted Schwinger pair production, Phys. Lett. B 698(1), 80 (2011)
doi: 10.1016/j.physletb.2011.02.053
20 C. Fey and R. Schützhold, Momentum dependence in the dynamically assisted Sauter–Schwinger effect, Phys. Rev. D 85(2), 025004 (2012)
doi: 10.1103/PhysRevD.85.025004
21 Z. L. Li, D. Lu, and B. S. Xie, Multi-slit interference effect in the time domain for boson pair production, Phys. Rev. D 89(6), 067701 (2014)
doi: 10.1103/PhysRevD.89.067701
22 E. Akkermans and G. V. Dunne, Ramsey fringes and timedomain multiple-slit interference from vacuum, Phys. Rev. Lett. 108(3), 030401 (2012)
doi: 10.1103/PhysRevLett.108.030401
23 A. Nuriman, B. S. Xie, Z. L. Li, and D. Sayipjamal, Enhanced electron-positron pair creation by dynamically assisted combinational fields, Phys. Lett. B 717(4-5), 465 (2012)
doi: 10.1016/j.physletb.2012.09.060
24 N. Abdukerim, Z. L. Li, and B. S. Xie, Effects of laser pulse shape and carrier envelope phase on pair production, Phys. Lett. B 726(4-5), 820 (2013)
doi: 10.1016/j.physletb.2013.09.014
25 S. Schmidt, D. B. Blaschke, G. Ropke, A. V. Prozorkevich, S. A. Smolyansky, and V. D. Toneev, Non-Makrovian effects in strong-field pair creation, Phys. Rev. D 59(9), 094005 (1999)
doi: 10.1103/PhysRevD.59.094005
26 D. B. Blaschke, B. Kampfer, A. D. Panferov, A. V. Prozorkevich, and S. A. Smolyansky, Infulence of laser pulse parameters on the properties of e-e+ palsmas created from vacuum, Contrib. Plasma Phys. 53(2), 165 (2013)
doi: 10.1002/ctpp.201310029
27 D. B. Blaschke, B. K?mpfer, S.M. Schmidt, A. D. Panferov, A. V. Prozorkevich, and S. A. Smolyansky, Properties of the electron–positron plasma created from a vacuum in a strong laser field: Quasiparticle excitations, Phys. Rev. D 88(4), 045017 (2013)
doi: 10.1103/PhysRevD.88.045017
28 Y. Kluger, E. Mottola, and J. M. Eisenberg, Quantum Vlasov equation and its Markov limit, Phys. Rev. D 58(12), 125015 (1998)
doi: 10.1103/PhysRevD.58.125015
29 Z. L. Li, D. Lu, B. S. Xie, L. B. Fu, J. Liu, and B. F. Shen, Enhanced pair production in strong fields by multiple-slit interference effect with dynamically assisted Schwinger mechanism, Phys. Rev. D 89(9), 093011 (2014)
doi: 10.1103/PhysRevD.89.093011
No related articles found!
Full text