Numerical method of electron-positron pairs generation in photon-photon collider

Li Ang; Yu Jin-Qing; Chen Yu-Qing; Yan Xue-Qing

doi:10.7498/aps.69.20190729

Abstract

The creation of positron and electron pairs through photon-photon collision, named Breit-Wheeler process, has been well understood in the theories of quantum electrodynamics for nearly 100 years. The photon-photon collision, which is one of the most basic processes of matter generation in the universe, has not been observed yet. The study on photon-photon collision can promote the development of two-photon physics, quantum electrodynamics theories and high energy physics. To observe photon-photon collision in the laboratory, one needs to collimate a huge number of energetic γ-ray photons into a very small spot. Recently, the development of highly collomated source generated by 10 PW laser makes photon-photon collider much more possible than before. In photon-photon collider, the study of numerical simulation plays a critical role since no experiment has achieved such a process. In this paper, a new numerical method is developed to handle the two-photon Breit-Wheeler process. This method is based on the exact two-photon collision dynamic principle, including energy threshold condition, cross-section condition, Lorentz transformation, etc. In the method, the photons are divided into quantitative photon blocks based on the spatial coordinates. Firstly, one needs to find the collision blocks according to the spatial motion law. Secondly, the ergodic method is used to look up the photons that satisfy the energy threshold condition and the cross-section condition from the blocks. Then, one can calculate the electron yield of the photon collision, and the kinetic parameters of the positrons and electrons. This method rigorously follows the physical principle so it has high precision. On the other hand, this method determines the collision of the block in advance, which can reduce the computational requirement a lot. A series of tests is carried out to confirm the accuracy and feasibility of this numerical method by calculating the collision between mono-energetic photon beams. In the tests, the collision angle is assumed to 180° and 60° separately, the results of pair momentum distribution are discussed. We also simulate the collision of the γ-ray beams generated through the interaction between ultra-intense laser and narrow tube targets. In the simulations, the collision angle is changed from 170° to 30° to see its effect on pair production. It is found that the yield of electron-positron pairs decreases with collision angle increasing, which has also been reported in previous work. Therefore, this numerical method can be efficiently used for modeling photon-photon collider, and provide theoretical reference and suggestion to the future experimental design of γ-ray collision.

Keywords:

Authors and contacts

1.
College of Nuclear Science and Technology, Naval University of Engineering, Wuhan 430033, China
2.
State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

Corresponding author: Yu Jin-Qing, jinqing.yu@hnu.edu.cn

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References

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Cited By

图 1 单能光子180°对撞时　(a)电子动量分布; (b)正电子动量分布

Figure 1. (a) Electron momentum distribution; (b) positron momentum distribution of 180° collision of single-energy photons.

DownLoad: Full-Size Img PowerPoint

图 2 单能光子60°对撞时　(a)电子动量分布; (b)正电子动量分布

Figure 2. (a) Electron momentum distribution; (b) positron momentum distribution from 60° collision of single-energy photons.

DownLoad: Full-Size Img PowerPoint

图 3 粒子模拟程序得到的光子束角-谱分布^[7,10]

Figure 3. Angle-spectral distribution of photon beams from particle simulator^[7,10].

DownLoad: Full-Size Img PowerPoint

图 4 10⁶光子170°对撞电子动量极角分布　(a)区块分法一; (b)区块分法二

Figure 4. Polar angular distribution of electron momentum from 170° collision of 10⁶ photons: (a) the first block division; (b) the second block division.

DownLoad: Full-Size Img PowerPoint

图 5 电子产额随光子束对撞角的变化趋势

Figure 5. The trend of electronic yield with the collision angle of photon beam.

DownLoad: Full-Size Img PowerPoint

图 6 电子产额随光子束偏移量的变化趋势

Figure 6. The trend of electronic yield with the offset of photon beam.

DownLoad: Full-Size Img PowerPoint

[1]	Marklund M, Shukla P K 2006 Rev. Mod. Phys. 78 591 Google Scholar
[2]	Ehlotzky F, Krajewska K, Kamiński J 2009 Rep. Prog. Phys. 72 046401 Google Scholar
[3]	Piazza A D, Müller C, Hatsagortsyan K Z, Keitel C H 2012 Rev. Mod. Phys. 84 1177 Google Scholar
[4]	黄金书, 罗鹏晖, 鲁公儒 2009 物理学报 58 12 Huang J S, Luo P H, Lu G R 2009 Acta Phys. Sin. 58 12
[5]	Burke D L, Field R C, Smith G H, Spencer J E, Walz D 1997 Phys. Rev. Lett. 79 1626 Google Scholar
[6]	Breit G, Wheeler J A 1934 Phys. Rev. 46 1087 Google Scholar
[7]	Yu J Q, Lu H Y, Takahashi T, Hu R H, Gong Z, Ma W J, Huang Y S, Chen C E, Yan X Q 2019 Phys. Rev. Lett. 122 014802 Google Scholar
[8]	周美林, 颜学庆 2015 物理 44 281 Google Scholar Zhou M L, Yan X Q 2015 Physics 44 281 Google Scholar
[9]	Brady C S, Ridgers C, Arber T, Bell A R 2013 Plasma. Phys. Controlled Fusion 55 124016 Google Scholar
[10]	Yu J Q, Hu R H, Gong Z, Ting A, Najmudin Z, Wu D, Lu H Y, Ma W J, Yan X Q 2018 Appl. Phys. Lett. 112 204103 Google Scholar
[11]	Yu T P, Pukhov A, Sheng Z M, Liu F, Shvets G 2013 Phys. Rev. Lett. 110 045001 Google Scholar
[12]	Stark D J, Toncian T, Arefiev A V 2016 Phys. Rev. Lett. 116 185003 Google Scholar
[13]	Capdessus R, Humi`eres E, Tikhonchuk V T 2013 Phys. Rev. Lett. 110 215003 Google Scholar
[14]	Brady C S, Ridgers C P, Arber T D, Bell A R, Kirk J G 2012 Phys. Rev. Lett. 109 245006 Google Scholar
[15]	Nakamura T, Koga J K, Esirkepov T Z, Kando M, Korn G, Bulanov S V 2012 Phys. Rev. Lett. 108 195001 Google Scholar
[16]	Yi L, Pukhov A, Thanh P L, Shen B 2016 Phys. Rev. Lett. 116 115001 Google Scholar
[17]	Ji L L, Snyder J, Pukhov A, Freeman R R, Akli K U 2016 Sci. Rep. 6 23256 Google Scholar
[18]	Zhu X L, Yu T P, Sheng Z M, Yin Y, Turcu I C E, Pukhov A 2016 Nat. Commun. 7 13686 Google Scholar
[19]	Liu J X, Ma Y Y, Yu T P, Zhao J, Yang X H, Zou D B, Zhang G B, Zhao Y, Yang J K, Li H Z, Zhuo H B, Shao F Q, Kawata S 2017 Chin. Phys. B 26 035202 Google Scholar
[20]	Geng P F, Lv W J, Li X L, Tang R A, Xue J K 2018 Chin. Phys. B 27 035201 Google Scholar
[21]	Zhang G B, Hafz N A M, Ma Y Y, Qian L J, Shao F Q, Sheng Z M 2016 Chin. Phys. Lett. 33 095202 Google Scholar
[22]	Zhu X L, Yin Y, Yu T P, Shao F Q, Ge Z Y, Wang W Q, Liu J J 2015 New J. Phys. 17 053039 Google Scholar
[23]	Liu J J, Yu T P, Yin Y, Zhu X L, Shao F Q 2016 Opt. Express 24 14
[24]	Yu T P, Hu L X, Yin Y, Shao F Q, Zhuo H B, Ma Y Y, Yang X H, Luo W, Pukhov A 2014 Appl. Phys. Lett. 105 114101 Google Scholar
[25]	Luo W, Zhu Y B, Zhuo H B, Ma Y Y, Song Y M, Zhu Z C, Wang X D, Li X H, Turcu I, Chen M 2015 Phys. Plasmas 22 063112 Google Scholar
[26]	Luo W, Wu S D, Liu W Y, Ma Y Y, Li F Y, Yuan T, Yu J Y, Chen M, Sheng Z M 2018 Plasma Phys. Controlled Fusion 60 095006 Google Scholar
[27]	Chen L M, Yan W C, Li D Z, Hu Z D, Zhang L, Wang W M, Hafz N, Mao J Y, Huang K, Ma Y, Zhao J R, Ma J L, Li Y T, Lu X, Sheng Z M, Wei Z Y, Gao J, Zhang J 2013 Sci. Rep. 3 1912 Google Scholar
[28]	Wang W M, Sheng Z M, Gibbon P, Chen L M, Li Y T, Zhang J 2018 Proc. Natl. Acad. Sci. U.S.A. 115 9911 Google Scholar
[29]	Wang W M, Gibbon P, Sheng Z M, Li Y T, Zhang J 2017 Phys. Rev. E 96 013201 Google Scholar
[30]	Chen M, Luo J, Li F Y, Liu F, Sheng Z M, Zhang J 2016 Light-Sci. Appl. 5 e16015 Google Scholar
[31]	Liu J B, Yu J Q, Shou Y R, Wang D H, Hu R H, Tang Y H, Wang P J, Cao Z X, Mei Z S, Lin C, Lu H Y, Zhao Y Y, Zhu K, Yan X Q, Ma W J 2019 Phys. Plasmas 26 033109 Google Scholar
[32]	Gong Z, Hu R H, Lu H Y, Yu J Q, Wang D H, Fu E G, Chen C E, He X T, Yan X Q 2018 Plasma Phys. Controlled Fusion 60 044004 Google Scholar
[33]	H X Chang, B Qiao, Y X Zhang, Z Xu, W P Yao, C T Zhou, X T He 2017 Phys. Plasmas 24 043111 Google Scholar
[34]	Cristoforetti G, Londrillo P, Singh P K et al. 2017 Phys. Plasmas 7 1479 Google Scholar
[35]	Huang T, Zhou C, Zhang H, Wu S, Qiao B, He X, Ruan S 2017 Appl. Phys. Lett. 110 021102 Google Scholar
[36]	Shen B, Bu Z, Xu J, Xu T, Ji L, Li R, Xu Z 2018 Plasma Phys. Controlled Fuison 60 044002 Google Scholar
[37]	Ribeyre X, d’Humi`eres E, Jansen O, Jequier S, Tikhonchuk V T, Lobet M 2016 Phys. Rev. E 93 013201 Google Scholar
[38]	Jansen O, d’Humi`eres E, Ribeyre X, Jequier S, Tikhonchuk V T 2018 J. Comput. Phys. 355 582
[39]	Pike O J, Mackenroth F, Hill E G, Rose S J 2014 Nat. Photonics 8 434 Google Scholar
[40]	Ribeyre X, d’Humi`eres E, Jansen O, Jequier S, Tikhonchuk V T 2017 Plasma Phys. Controlled Fusion 59 014024 Google Scholar

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