Abstract
1 Introduction
In the presence of strong electromagnetic fields, vacuum can be unstable and if a certain field strength is exceeded, electron–positron pair creation can occur[
Based on Popov’s treatment we are going to present our numerical estimates for pair creation efficiency on an E144 like experimental setup that can be realized in the near future by high intensity laser facilities[
Continuing with the presentation of Popov’s theory the probability density is given by Refs. [
Sign up for High Power Laser Science and Engineering TOC. Get the latest issue of High Power Laser Science and Engineering delivered right to you!Sign up now
For the sake of introduction completeness the simplified asymptotic formulas for
In the following section (Section
For the numerical estimates of created pairs, to be presented, it is adequate to use Equation (
Since
As mentioned above, our aim is to apply and investigate numerically Popov’s theory to an E144 like experimental setup. However it is worth commenting on the efficiency of other physical mechanisms that one can implement in such a setup. In particular, if we choose to implement the Breit–Wheeler mechanism via nonlinear Compton scattering, taking also into account radiation losses during electron–photon collision, the efficiency is lower than that of Popov’s theory due to low cross-section of the above events.
An interesting scheme is proposed at the recent work of Ref. [
We modeled the two step scheme (1st step: electron beam–laser beam interaction, 2nd step: high energy photon–laser interaction) with the parameters used in Ref. [
The proposed scheme in Ref. [
2 Pair creation using an E144 analogous scheme: case
Consider an experimental configuration where on the first step a high focal intensity (for the ELI system values of
In Figure
In Figure
However in Figure
In Figure
3 Pair creation using an E144 analogous scheme: case
In this section pion pair creation is examined by considering the same setup as before. Pions are particles of
In Figure
From the above analysis it is expected that according to the imaginary time method, adequate number of pion pairs can be detected in the field effect region of
4 Conclusions
In this paper, we presented numerical estimates for
The crucial question that now arises is what occurs as far as the efficiency of pion pair detection concerns, near the critical pion field
The resolution to this problem is to attempt to establish a kind of selection or better tunability process between the generation of
A specific numerical example of the above argument can be as follows. Consider a laser pulse of
Finally it should be noted that this work was solely based on applying and quantitatively investigating Popov’s imaginary time method[
References
[1] J. W. Schwinger. Phys. Rev., 82, 664(1951).
[2] W. Greiner, B. Muller, J. Rafelski. Quantum Electrodynamics of Strong Fields(1985).
[3] A. DiPiazza. Phys. Rev. D, 70(2004).
[4] A. Di Piazza, K. Z. Hatsagortsyan, C. H. Keitel. Phys. Rev. Lett., 97(2006).
[5] A. Di Piazza, K. Z. Hatsagortsyan, C. H. Keitel. Phys. Plasmas, 14(2007).
[6] A. Di Piazza, A. I. Milstein, C. H. Keitel. Phys. Rev. A, 76(2007).
[7] A. Di Piazza, K. Z. Hatsagortsyan, C. H. Keitel. Phys. Rev. Lett., 100(2008).
[8] I. Ploumistakis, S. D. Moustaizis, I. Tsohantjis. Phys. Lett. A, 373, 2897(2009).
[9] I. Tsohantjis, S. Moustaizis, I. Ploumistakis. Phys. Lett. B, 650, 249(2007).
[10] I. Ploumistakis, I. Tsohantjis, S. Moustaizis35th EPS Conference on Plasma Physics.
[11] I. Tsohantjis, S. D. Moustaizis, I. Ploumistakis35th EPS Conference on Plasma Physics.
[12] E. Brezin, C. Itzykson. Phys. Rev. D, 2, 1191(1970).
[13] V. S. Popov. JETP Lett., 13, 185(1971).
[14] V. S. Popov. Sov. Phys. JETP, 34, 709(1972).
[15] V. S. Popov. Sov. Phys. JETP, 35, 659(1972).
[16] V. S. Popov, M. S. Marinov. Sov. J. Nucl. Phys., 16, 449(1973).
[17] V. S. Popov. JETP Lett., 18, 255(1974).
[18] V. S. Popov. Sov. J. Nucl. Phys., 19, 584(1974).
[19] V. S. Popov. Phys. Let. A, 298, 83(2002).
[20] V. S. Popov, V. D. Mur, N. B. Narozhnyi, S. V. Popruzhenko. JETP, 122, 539(2016).
[21] N. B. Narozhny, S. S. Bulanov, V. D. Mur, V. S. Popov. Phys. Lett. A, 330(2004).
[22] N. B. Narozhny, A. M. Fedotov. Eur. Phys. J. Special Topics, 223, 1083(2014).
[23] A. M. Fedotov. Laser Phys., 19, 214(2009).
[24] S. S. Bulanov, N. B. Narozhny, V. D. Mur, V. S. Popov. JETP, 102, 9(2006).
[25] S. S. Bulanov, M. Chen, C. B. Schroeder, E. Esarey, W. P. Leemans, S. V. Bulanov, T. Zh. Esirkepov, M. Kando, J. K. Koga, A. G. Zhidkov, P. Chen, V. D. Mur, N. B. Narozhny, V. S. Popov, A. G. R. Thomas, G. Korn. AIP Conf. Proc., 1507, 825(2012).
[26] S. S. Bulanov, V. D. Mur, N. B. Narozhny, J. Nees, V. S. Popov. Phys. Rev. Lett., 104(2010).
[27] S. Meuren, K. Z. Hatsagortsyan, C. H. Keitel, A. Di Piazza. Phys. Rev. Lett., 114(2015).
[29] G. Breit, J. A. Wheeler. Phys. Rev., 46, 1087(1934).
[30] C. Kaberidis, I. Tsohantjis, S. MoustaizisFrontiers of Foundamental and Computational Physics’ Udine.
[31] M. Perry, G. Mourou. Science, 264, 917(1994).
[32] P. Chen, T. Tajima. Phys. Rev. Lett., 83, 256(1999).
[33] T. Tajima, G. Mourou. Phys. Rev. ST Accel. Beams, 5(2002).
[34]
[38] C. N. Danson, T. H. Bett, N. Cann, S. J. Duffield, R. Edwards, D. A. Egan, S. P. Elsmere, M. T. Girling, T. Goldsack, E. J. Harvey, D. I. Hillier, D. J. Hoarty, N. W. Hopps, S. F. James, M. J. Norman, K. Oades, S. J. F. Parker, P. D. Roberts, P. A. Treadwell, D. N. Winter. Proceedings of the 38th EPS Plasma Physics Conference(2011).
[40] A. Ringwald. Phys. Lett. B, 510, 107(2001).
[41] G. Mourou, T. Tajima. Eur. Phys. J. Spec. Top., 223, 979(2014).
[42] K. Ishida, K. Nagamine, T. Matsuzaki, N. Kawamura. Nucl. Phys. B, 149, 348(2005).
[44] S. Choubey, R. Gandhi, S. Goswami, J. S. Berg, R. Fernow, J. C. Gallardo, R. Gupta, H. Kirk, N. Simos, N. Souchlas, M. Ellis, P. Kyberd, E. Benedetto, E. Fernandez-Martinez, I. Efthymiopoulos, R. Garoby, S. Gilardoni, M. Martini, G. Prior, D. Indumathi, N. Sinha, P. Ballett, S. Pascoli, A. Bross, S. Geer, C. Johnstone, J. Kopp, N. Mokhov, J. Morfin, D. Neuffer, S. Parke, M. Popovic, J. Strait, S. Striganov, A. Blondel, F. Dufour, A. Laing, F. J. P. Soler, M. Lindner, T. Schwetz, A. Alekou, M. Apollonio, M. Aslaninejad, C. Bontoiu, P. Dornan, R. Eccleston, A. Kurup, K. Long, J. Pasternak, J. Pozimski, A. Bogacz, V. Morozov, Y. Roblin, S. Bhattacharya, D. Majumdar, Y. Mori, T. Planche, M. Zisman, D. Cline, D. Stratakis, X. Ding, P. Coloma, A. Donini, B. Gavela, J. Lopez Pavon, M. Maltoni, C. Bromberg, M. Bonesini, T. Hart, Y. Kudenko, N. Mondal, S. Antusch, M. Blennow, T. Ota, R. J. Abrams, C. M. Ankenbrandt, K. B. Beard, M. A. C. Cummings, G. Flanagan, R. P. Johnson, T. J. Roberts, C. Y. Yoshikawa, P. Migliozzi, V. Palladino, A. de Gouvea, V. B. Graves, Y. Kuno, J. Peltoniemi, V. Blackmore, J. Cobb, H. Witte, M. Mezzetto, S. Rigolin, K. T. McDonald, L. Coney, G. Hanson, P. Snopok, L. Tortora, C. Andreopoulos, J. R. J. Bennett, S. Brooks, O. Caretta, T. Davenne, C. Densham, R. Edgecock, D. Kelliher, P. Loveridge, A. McFarland, S. Machida, C. Prior, G. Rees, C. Rogers, J. W. G. Thomason, C. Booth, G. Skoro, Y. Karadzhov, R. Matev, R. Tsenov, R. Samulyak, S. R. Mishra, R. Petti, M. Dracos, O. Yasuda, S. K. Agarwalla, A. Cervera-Villanueva, J. J. Gomez-Cadenas, P. Hernandez, T. Li, J. Martin-Albo, P. Huber, J. Back, G. Barker, P. Harrison, D. Meloni, J. Tang, W. Winter.
[45] C. Müller, K. Z. Hatsagortsyan, C. H. Keitel. Phys. Rev. D, 74(2006).
[46] O. J. Pike, F. Mackenroth, E. G. Hill, S. J. Rose. Nat. Photon., 8, 434(2014).
[47] V. Malka, J. Faure, Y. Glinec, A. Pukhov, J. Rousseau. Phys. Plasmas, 12(2005).
[52] E. Gerstner. Nature, 446, 16(2007).
[53] G. Mourou, B. Brocklesby, T. Tajima, J. Limpert. Nat. Photon., 7, 258(2013).
[54] I. V. Sokolov, N. M. Naumova, J. A. Nees, G. A. Mourou. Phys. Rev. Lett., 105(2010).
[55] S. S. Bulanov, C. B. Schroeder, E. Esarey, W. P. Leemans. Phys. Rev. A, 87(2013).
[56] A. Di Piazza, C. Muller, K. Z. Hatsagortsyan, C. H. Keitel. Rev. Mod. Phys., 84, 1177(2012).
Set citation alerts for the article
Please enter your email address