Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Anomalous pinch in electron-electron beam collision

W. Zhang1,2,*, T. Grismayer3,†, and L. O. Silva3,‡

  • *Contact author: wenlong.zhang@ecut.edu.cn
  • Contact author: thomas.grismayer@tecnico.ulisboa.pt
  • Contact author: luis.silva@tecnico.ulisboa.pt

Phys. Rev. Accel. Beams 28, 091001 – Published 11 September, 2025

DOI: https://doi.org/10.1103/9np4-tzwl

Abstract

We show that an anomalous pinch can occur in ultrarelativistic electron-electron or positron-positron beam interaction, caused by the combined interplay of collective beam motion (disruption) and strong-field quantum electrodynamics (SF-QED). The locally created electron-positron pairs, from SF-QED effects, screen the self-fields of the beams and can invert the polarity of the Lorentz force, resulting in a pinch of the beams. A theoretical model predicts the pinch condition and is confirmed by first-principles three-dimensional particle-in-cell simulations. This anomalous pinch causes density compression, increases the collision luminosity, and amplifies the local magnetic fields and the quantum parameter of the beam particles by several orders of magnitude.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (58)

  1. John Ellis, The future of high-energy collider physics, arXiv:1810.11263.
  2. V. Shiltsev and F. Zimmermann, Modern and future colliders, Rev. Mod. Phys. 93, 015006 (2021).
  3. Heather M. Gray, Future colliders for the high-energy frontier, Rev. Phys. 6, 100053 (2021).
  4. N. Mounet, European Strategy for Particle Physics—Accelerator R&D Roadmap, CERN Yellow Reports: Monographs (CERN, Geneva, Switzerland, 2022), 10.23731/CYRM-2022-001.
  5. C. B. Schroeder, E. Esarey, and W. P. Leemans, Beamstrahlung considerations in laser-plasma-accelerator-based linear colliders, Phys. Rev. ST Accel. Beams 15, 051301 (2012).
  6. C. Geddes, M. Hogan, P. Musumeci, and R. Assmann, Report of Snowmass 21 accelerator frontier topical group 6 on advanced accelerators, arXiv:2208.13279.
  7. Thomas Roser, Reinhard Brinkmann, Sarah Cousineau, Dmitri Denisov, Spencer Gessner, Steve Gourlay, Philippe Lebrun, Meenakshi Narain, Katsunobu Oide, Tor Raubenheimer, John Seeman, Vladimir Shiltsev, Jim Strait, Marlene Turner, and Lian-Tao Wang, On the feasibility of future colliders: Report of the Snowmass’21 implementation task force, J. Instrum. 18, P05018 (2023).
  8. C. B. Schroeder et al., Linear colliders based on laser-plasma accelerators, J. Instrum. 18, T06001 (2023).
  9. Vladimir Shiltsev, Particle colliders: Options for the US and internationally, in Proceedings of the IPAC-2024 (CERN, Geneva, Switzerland, 2024), FRYD3, 10.18429/JACoW-IPAC2024-FRYD3.
  10. J. Vieira et al., Report on the advanced linear collider study group (ALEGRO) workshop 2024, arXiv:2408.03968.
  11. Brian Foster et al., Proceedings of the Erice workshop: A new baseline for the hybrid, asymmetric, linear Higgs factory HALHF, Phys. Open 23, 100261 (2025).
  12. Hitoshi Murayama et al., Exploring the quantum universe: Pathways to innovation and discovery in particle physics (2023), 10.2172/2368847.
  13. Alexander Aryshev, Ties Behnke, Mikael Berggren et al., The international linear collider: Report to Snowmass 2021, arXiv:2203.07622.
  14. P. Roloff, R. Franceschini, U. Schnoor, and A. Wulzer, The compact linear e+e collider (CLIC): physics potential, arXiv:1812.07986.
  15. D. Schulte, Beam-beam effects in linear colliders, in CERN Yellow Reports: School Proceedings (CERN, Geneva, Switzerland, 2017), Vol. 3, pp. 431–445, 10.23730/CYRSP-2017-003.431.
  16. Tim Barklow et al., Beam delivery and beamstrahlung considerations for ultra-high energy linear colliders, J. Instrum., 18, P09022 (2023).
  17. F. Del Gaudio, T. Grismayer, R. A. Fonseca, W. B. Mori, and L. O. Silva, Bright γ rays source and nonlinear Breit-Wheeler pairs in the collision of high density particle beams, Phys. Rev. Accel. Beams 22, 023402 (2019).
  18. V. Yakimenko, S. Meuren, F. Del Gaudio, C. Baumann, A. Fedotov, F. Fiuza, T. Grismayer, M. J. Hogan, A. Pukhov, L. O. Silva, and G. White, Prospect of studying nonperturbative QED with beam-beam collisions, Phys. Rev. Lett. 122, 190404 (2019).
  19. W. L. Zhang, T. Grismayer, and L. O. Silva, Signatures for strong-field QED in the quantum limit of beamstrahlung, Phys. Rev. A 108, 042816 (2023).
  20. Matteo Tamburini and Sebastian Meuren, Efficient high-energy photon production in the supercritical QED regime, Phys. Rev. D 104, L091903 (2021).
  21. Pisin Chen and Kaoru Yokoya, Disruption effects from the interaction of round e+e beams, Phys. Rev. D 38, 987 (1988).
  22. T. Katsouleas, J. J. Su, W. B. Mori, and J. M. Dawson, Plasma physics at the final focus of high-energy colliders, Phys. Fluids B 2, 1384 (1990).
  23. Pisin Chen, Differential luminosity under multiphoton beamstrahlung, Phys. Rev. D 46, 1186 (1992).
  24. Pisin Chen and Valery I. Telnov, Coherent pair creation in linear colliders, Phys. Rev. Lett. 63, 1796 (1989).
  25. Robert J. Noble, Beamstrahlung from colliding electron-positron beams with negligible disruption, Nucl. Instrum. Methods Phys. Res., Sect. A 256, 427 (1987).
  26. P. Raimondi, F.-J. Decker, and P. Chen, Disruption effects on the beam size measurement, in Proceedings of the Particle Accelerator Conference (IEEE, Dallas, TX, 1995), Vol. 5, pp. 2919–2921, 10.1109/PAC.1995.505737.
  27. T. Barklow and et al., Experimental evidence for beam-beam disruption at the SLC, in Proceedings of the IEEE Particle Accelerator Conference (PAC-99) (IEEE, New York, 1999), pp. 307–309.
  28. Ties Behnke, James E. Brau, Brian Foster, Juan Fuster, Mike Harrison, James McEwan Paterson, Michael Peskin, Marcel Stanitzki, Nicholas Walker, and Hitoshi Yamamoto, The international linear collider technical design report—Volume 1: Executive summary, arXiv:1306.6327.
  29. Qing-Lei Xiu, Hong-Bo Zhu, Teng Yue, and Xin-Chou Lou, Study of beamstrahlung effects at CEPC, Chin. Phys. C 40, 053001 (2016).
  30. C. B. Schroeder, E. Esarey, C. G. R. Geddes, C. Benedetti, and W. P. Leemans, Physics considerations for laser-plasma linear colliders, Phys. Rev. ST Accel. Beams 13, 101301 (2010).
  31. Spencer Gessner, Jens Osterhoff, Carl A. Lindstrøm et al., Design initiative for a 10 TeV pCM wakefield collider, arXiv:2503.20214.
  32. W. Zhang, T. Grismayer, R. Fonseca, and L. Silva, Disruption-induced kink instability in the leptonic beam collision driven by QED effects, in Proceedings of the Poster Contribution Presented at the 47th EPS Conference on Plasma Physics, Barcelona, Spain (European Physical Society, 2021), https://info.fusion.ciemat.es/OCS/EPS2021ABS/html/contrib.html.
  33. A. S. Samsonov, E. N. Nerush, I. Yu Kostyukov, M. Filipovic, C. Baumann, and A. Pukhov, Beamstrahlung-enhanced disruption in beam-beam interaction, New J. Phys. 23, 103040 (2021).
  34. W. L. Zhang, T. Grismayer, K. M. Schoeffler, R. A. Fonseca, and L. O. Silva, High-order harmonic generation in an electron-positron-ion plasma, Phys. Rev. E 103, 013206 (2021).
  35. Kenan Qu, Sebastian Meuren, and Nathaniel J. Fisch, Signature of collective plasma effects in beam-driven QED cascades, Phys. Rev. Lett. 127, 095001 (2021).
  36. T. Grismayer, M. Vranic, J. L. Martins, R. A. Fonseca, and L. O. Silva, Laser absorption via quantum electrodynamics cascades in counter propagating laser pulses, Phys. Plasmas 23, 056706 (2016).
  37. E. N. Nerush, I. Yu. Kostyukov, A. M. Fedotov, N. B. Narozhny, N. V. Elkina, and H. Ruhl, Laser field absorption in self-generated electron-positron pair plasma, Phys. Rev. Lett. 106, 035001 (2011).
  38. Alexander Philippov, Andrey Timokhin, and Anatoly Spitkovsky, Origin of pulsar radio emission, Phys. Rev. Lett. 124, 245101 (2020).
  39. A. N. Timokhin, Time-dependent pair cascades in magnetospheres of neutron stars—I. Dynamics of the polar cap cascade with no particle supply from the neutron star surface, Mon. Not. R. Astron. Soc. 408, 2092 (2010).
  40. Fábio Cruz, Thomas Grismayer, Alexander Y. Chen, Anatoly Spitkovsky, and Luis O. Silva, Coherent emission from QED cascades in pulsar polar caps, Astrophys. J. Lett. 919, L4 (2021).
  41. Andrei M. Beloborodov, On the mechanism of hard x-ray emission from magnetars, Astrophys. J. 762, 13 (2012).
  42. V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field, J. Sov. Laser Res. 6, 497 (1985).
  43. A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, Extremely high-intensity laser interactions with fundamental quantum systems, Rev. Mod. Phys. 84, 1177 (2012).
  44. A. Gonoskov, T. G. Blackburn, M. Marklund, and S. S. Bulanov, Charged particle motion and radiation in strong electromagnetic fields, Rev. Mod. Phys. 94, 045001 (2022).
  45. A. Fedotov, A. Ilderton, F. Karbstein, B. King, D. Seipt, H. Taya, and G. Torgrimsson, Advances in QED with intense background fields, Phys. Rep. 1010, 1 (2023).
  46. M. Pouyez, T. Grismayer, M. Grech, and C. Riconda, Kinetic structure of strong-field QED showers in crossed electromagnetic fields, Phys. Rev. Lett. 134, 135001 (2025).
  47. M. Pouyez, A. A. Mironov, T. Grismayer, A. Mercuri-Baron, F. Perez, M. Vranic, C. Riconda, and M. Grech, Multiplicity of electron- and photon-seeded electromagnetic showers at multipetawatt laser facilities, Phys. Rev. E 110, 065208 (2024).
  48. Tim Barklow, Su Dong, Claudio Emma, Joseph Duris, Zhirong Huang, Adham Naji, Emilio Nanni, James Rosenzweig, Anne Sakdinawat, Sami Tantawi, and Glen White, XCC: An x-ray FEL-based γγ Collider Higgs Factory, arXiv:2203.08484.
  49. R. A. Fonseca, L. O. Silva, F. S. Tsung, V. K. Decyk, W. Lu, C. Ren, W. B. Mori, S. Deng, S. Lee, T. Katsouleas, J. C. Adam, A. Sloot, Alfons G. Hoekstra, C. J. Kenneth Tan, and Jack J. Dongarra, osiris: A three-dimensional, fully relativistic particle in cell code for modeling plasma based accelerators, in Computational Science—ICCS 2002, edited by M. Peter (Springer, Berlin, Heidelberg, 2002), pp. 342–351.
  50. Daniel Schulte. Study of electromagnetic and hadronic background in the interaction region of the TESLA collider, Ph.D. thesis, University of Hamburg, 1996.
  51. Helmut Wiedemann, Particle Accelerator Physics, 4th ed. (Springer, Cham, 2015), 10.1007/978-3-319-18317-6.
  52. Kaoru Yokoya and Pisin Chen, Beam-beam phenomena in linear colliders, in Frontiers of Particle Beams: Intensity Limitations, edited by M. Dienes, M. Month and S. Turner (Springer, Berlin, Heidelberg, 1992), pp. 415–445, 10.1007/3-540-55250-2_37.
  53. D. Del Sorbo, F. Del Gaudio, E. P. Alves, H. G. Chu, T. Grismayer, W. Zhang, L. O. Silva, W. Mori, and F. Fiuza, Electron-positron QED cascades in the collision of tightly focused lepton beams, in Proceedings of the Oral Contribution Presented at 61st Annual Meeting of the APS Division of Plasma Physics (APS-DPP), Fort Lauderdale (American Physical Society, 2019), http://meetings.aps.org/link/BAPS.2019.DPP.PO4.1.
  54. John M. Dawson, Particle simulation of plasmas, Rev. Mod. Phys. 55, 403 (1983).
  55. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation, 1st ed. (CRC Press, Boca Raton, FL, 1991).
  56. L. Serafini, V. Petrillo, and S. Samsam, Full inverse Compton scattering: Total transfer of energy and momentum from electrons to photons, Nucl. Instrum. Methods Phys. Res., Sect. A 1069, 169964 (2024).
  57. P. Lebrun, L. Linssen, A. Lucaci-Timoce, D. Schulte, F. Simon, S. Stapnes, N. Toge, H. Weerts, and J. Wells, The CLIC programme: Towards a staged e+e linear collider exploring the terascale: CLIC conceptual design report, arXiv:1209.2543.
  58. Steinar Stapnes, CLIC status, in Proceedings of the 109th Plenary ECFA Meeting (CERN, Geneva, Switzerland, 2021), https://indico.cern.ch/event/1085137/.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation