复合场下优化产生粒子对能量分布宽度的特性研究

林南省; 韩禄雪; 江淼; 李英骏

doi:10.7498/aps.67.20172656

摘要

采用计算量子场论的方法，对振荡场加稳恒场的组合外场下真空中正反粒子对的产生特性进行了研究.通过一系列的对比得到当振荡场的宽度减小时，一方面可增加正反粒子对的产生量，另一方面也可减小正反粒子对的能量分布宽度从而得到能量单一性更好的粒子对.同时，通过分析产生量、能量分布宽度与振荡场宽度的关系可得出，仅在一定范围内减小振荡场的宽度可使能量分布更加集中，则能量分布宽度趋于某个极限值.因此，要得到产生量多且能量分布集中的正反粒子对应选择合适的参数，这可为今后的实验设计提供数据参考.

关键词:

正反粒子对 /
场宽 /
能量分布

Abstract

In this paper, we use the quantum field theory to solve the generation process of particle-anti-particle pairs (PAPs), and study the generation characteristics of PAPs by changing the profile of the field combining an oscillating field and a static electric field. We find a way to increase the generation of PAPs and change the energy distribution. As the field strength of the oscillating field increases, the quantity of particle pairs generated increases. Increasing the field strength of a static electric field yields higher energy pairs of particles. If the frequency of the oscillating field becomes higher, the peak of the energy distribution shifts to higher energy but the width of the peak remains unchanged. The reduction of the field width of the oscillating field increases the generated quantity of PAPs on the one hand, and reduces the peak width of the energy distribution on the other hand. Therefore, we can obtain a narrower range of the energy distribution and more PAPs at less energy cost. Meanwhile, the relationship among the generation yield, the width of energy distribution and the width of the oscillation field is obtained. The width of the oscillating field only significantly narrows the peak width of the energy distribution in a range and reaches a limit after that. This provides useful details for future experiments, and suggests an appropriate width of the oscillating field to produce enough quantity of PAPs with concentrated energy distribution. According to previous studies, varying field width will inevitably lead to the change in the intensity of the electric field. It will be shown that the concentrating of the energy distribution is induced by narrowing the oscillating field instead of increasing the electric field intensity. Therefore, more concentrated PAPs will be obtained and their mutual annihilation will lead to the generation of -ray, which can be used as a -ray in experiments that follow. We suggest reducing the width of the oscillating field to improve the energy concentration of both particles and anti-particles while their quantities are still large enough.

Keywords:

作者及机构信息

1.
中国矿业大学(北京), 深部岩土力学与地下工程国家重点实验室, 北京 100083;

2.
中国矿业大学(北京) 理学院物理系, 北京 100083

通信作者: 李英骏, lyj@aphy.iphy.ac.cn

基金项目: 国家自然科学基金（批准号：11605286，11405266，11374360）和国家重点基础研究发展计划（批准号：2013CBA01504）资助的课题.

Authors and contacts

1.
State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China;

2.
Department of Physics, College of Science, China University of Mining and Technology, Beijing 100083, China

Corresponding author: Li Ying-Jun, lyj@aphy.iphy.ac.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11605286, 11405266, 11374360) and the National Basic Research Program of China (Grant No. 2013CBA01504).

参考文献

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[2]	Chao C Y 1930 Phys. Rev. 36 1519
[3]	Cowan T, Backe H, Bethge K, Bokemeyer H, Folger H, Greenberg J S, Sakaguchi K, Schwalm D, Schweppe J, Stiebing K E, Vincent P 1986 Phys. Rev. Lett. 56 444
[4]	Ahmad I, Austin S M, Back B B, Betts R R, Calaprice F P, Chan K C, Chishti A, Conner C, Dunford R W, Fox J D, Freedman S J, Freer M, Gazes S B, Hallin A L, Happ T, Henderson D, Kaloskamis N I, Kashy E, Kutschera W, Last J, Lister C J, Liu M, Maier M R, Mercer D J, Mikolas D, Perera P A A, Rhein M D, Roa D E, Schiffer J P, Trainor T A, Wilt P, Winfield J S, Wolanski M R, Wolfs F L H, Wuosmaa A H, Xu G, Young A, Yurkon J E (A P E X Collaboration) 1997 Phys. Rev. Lett. 78 618
[5]	Burke D L, Field R C, Horton-Smith G, Spencer J E, Walz D, Berridge S C, Bugg W M, Shmakov K, Weidemann A W, Bula C, McDonald K T, Prebys E J, Bamber C, Boege S J, Koffas T, Kotseroglou T, Melissinos A C, Meyerhofer D D, Reis D A, Ragg W 1997 Phys. Rev. Lett. 79 1626
[6]	Tajima T, Mourou G 2002 Phys. Rev. Spec. Top. 5 031301
[7]	Hubbell J H 2006 Radiat. Phys. Chem. 75 614
[8]	Dong S S, Chen M, Su Q, Grobe R 2017 Phys. Rev. A 96 032120
[9]	Schtzhold R, Gies H, Dunne G 2008 Phys. Rev. Lett. 101 130404
[10]	Su Q, Grobe R 2008 Laser Phys. 17 92
[11]	Muller B, Greiner W, Rafelski J 1985 Quantum Electrodynamics of Strong Fields (Berlin: Springer) p26
[12]	Shen H, Bandrauk A D 1994 J. Phys. A 27 7147
[13]	Braun J W, Su Q, Grobe R 1999 Phys. Rev. A 59 604
[14]	Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868
[15]	Ruf M, Bauke H, Keitel C H 2009 J. Comput. Phys. 228 9092
[16]	Cheng T, Su Q, Grobe R 2010 Contemp. Phys. 51 315
[17]	Holstein B R 1998 Am. J. Phys. 66 507
[18]	Sauter F 1931 Z. Phys. 69 742
[19]	Hansen A, Ravndal F 1981 Phys. Scr. 23 1036
[20]	Holstein B R 1999 Am. J. Phys. 67 499
[21]	Cheng T, Su Q, Grobe R 2010 Contemp. Phys. 51 315
[22]	Krekora P, Su Q, Grobe R 2004 Phys. Rev. Lett. 93 043004
[23]	Newton T D, Wigner E P 1949 Rev. Mod. Phys. 21 400
[24]	Jiang M, Su W, L Z Q, Lu X, Li Y J, Grobe R, Su Q 2012 Phys. Rev. A 85 033408
[25]	Jiang M, L Q Z, Sheng Z M, Grobe R, Su Q 2013 Phys. Rev. A 87 042503

施引文献

[1]	Schwinger J 1951 Phys. Rev. 82 664
[2]	Chao C Y 1930 Phys. Rev. 36 1519
[3]	Cowan T, Backe H, Bethge K, Bokemeyer H, Folger H, Greenberg J S, Sakaguchi K, Schwalm D, Schweppe J, Stiebing K E, Vincent P 1986 Phys. Rev. Lett. 56 444
[4]	Ahmad I, Austin S M, Back B B, Betts R R, Calaprice F P, Chan K C, Chishti A, Conner C, Dunford R W, Fox J D, Freedman S J, Freer M, Gazes S B, Hallin A L, Happ T, Henderson D, Kaloskamis N I, Kashy E, Kutschera W, Last J, Lister C J, Liu M, Maier M R, Mercer D J, Mikolas D, Perera P A A, Rhein M D, Roa D E, Schiffer J P, Trainor T A, Wilt P, Winfield J S, Wolanski M R, Wolfs F L H, Wuosmaa A H, Xu G, Young A, Yurkon J E (A P E X Collaboration) 1997 Phys. Rev. Lett. 78 618
[5]	Burke D L, Field R C, Horton-Smith G, Spencer J E, Walz D, Berridge S C, Bugg W M, Shmakov K, Weidemann A W, Bula C, McDonald K T, Prebys E J, Bamber C, Boege S J, Koffas T, Kotseroglou T, Melissinos A C, Meyerhofer D D, Reis D A, Ragg W 1997 Phys. Rev. Lett. 79 1626
[6]	Tajima T, Mourou G 2002 Phys. Rev. Spec. Top. 5 031301
[7]	Hubbell J H 2006 Radiat. Phys. Chem. 75 614
[8]	Dong S S, Chen M, Su Q, Grobe R 2017 Phys. Rev. A 96 032120
[9]	Schtzhold R, Gies H, Dunne G 2008 Phys. Rev. Lett. 101 130404
[10]	Su Q, Grobe R 2008 Laser Phys. 17 92
[11]	Muller B, Greiner W, Rafelski J 1985 Quantum Electrodynamics of Strong Fields (Berlin: Springer) p26
[12]	Shen H, Bandrauk A D 1994 J. Phys. A 27 7147
[13]	Braun J W, Su Q, Grobe R 1999 Phys. Rev. A 59 604
[14]	Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868
[15]	Ruf M, Bauke H, Keitel C H 2009 J. Comput. Phys. 228 9092
[16]	Cheng T, Su Q, Grobe R 2010 Contemp. Phys. 51 315
[17]	Holstein B R 1998 Am. J. Phys. 66 507
[18]	Sauter F 1931 Z. Phys. 69 742
[19]	Hansen A, Ravndal F 1981 Phys. Scr. 23 1036
[20]	Holstein B R 1999 Am. J. Phys. 67 499
[21]	Cheng T, Su Q, Grobe R 2010 Contemp. Phys. 51 315
[22]	Krekora P, Su Q, Grobe R 2004 Phys. Rev. Lett. 93 043004
[23]	Newton T D, Wigner E P 1949 Rev. Mod. Phys. 21 400
[24]	Jiang M, Su W, L Z Q, Lu X, Li Y J, Grobe R, Su Q 2012 Phys. Rev. A 85 033408
[25]	Jiang M, L Q Z, Sheng Z M, Grobe R, Su Q 2013 Phys. Rev. A 87 042503

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