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Measurement of directional muon beams generated at the Berkeley Lab Laser Accelerator

Davide Terzani1,*, Stanimir Kisyov1, Stephen Greenberg1,2, Luc Le Pottier1,2, Maria Mironova1, Alex Picksley1, Joshua Stackhouse1,3, Hai-En Tsai1, Raymond Li1,3 et al.

Ela Rockafellow4, Bo Miao4, Jaron E. Shrock4, Timon Heim1, Maurice Garcia-Sciveres1, Carlo Benedetti1, John Valentine1, Howard M. Milchberg4, Kei Nakamura1, Anthony J. Gonsalves1, Jeroen van Tilborg1, Carl B. Schroeder1,3, Eric Esarey1, and Cameron G. R. Geddes1

  • *Contact author: dterzani@lbl.gov
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Phys. Rev. Accel. Beams 28, 103401 – Published 8 October, 2025

DOI: https://doi.org/10.1103/kxjr-h7zs

Abstract

We present the detection of directional muon beams produced using a PW laser facility at the Lawrence Berkeley National Laboratory. The muon source is a multi-GeV electron beam generated in a 30  cm laser-plasma accelerator interacting with a high-Z converter target. The GeV photons resulting from the interaction are converted into a high-flux, directional muon beam via pair production. By employing scintillators to capture delayed events, we were able to identify the produced muons and characterize the source. Using theoretical knowledge of the muon production process combined with simulations that are in excellent agreement with the experiments, we demonstrate that laser-plasma accelerators have the capability of generating electron beams with characteristics suitable to produce GeV-scale muons that offer unique advantages with respect to the cosmic background. Laser-plasma-accelerator-based muon sources can therefore enhance muon imaging applications thanks to their compactness, directionality, and high yields, which reduce the exposure time by orders of magnitude compared to cosmic ray muons. Using the geant4-based simulation code we developed to gain insight into the experimental results, we can design future experiments and applications based on LPA-generated muons.

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References (46)

  1. D. Schulte, The Muon Collider (JACOW, Geneva, Switzerland, 2022), pp. 821–826.
  2. A. Keshavarzi, K. S. Khaw, and T. Yoshioka, Muon g−2: A review, Nucl. Phys. B975, 115675 (2022).
  3. M. S. Zisman, Proton beam requirements for a neutrino factory and muon collider, in Applications of High Intensity Proton Accelerators (World Scientific, Singapore, 2010), pp. 145–150.
  4. S. Bouteille, D. Attié, P. Baron, D. Calvet, P. Magnier, I. Mandjavidze, S. Procureur, M. Riallot, and M. Winkler, A micromegas-based telescope for muon tomography: The WatTo experiment, Nucl. Instrum. Methods Phys. Res., Sect. A 834, 223 (2016).
  5. Particle Data Group, Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  6. K. Morishima et al., Discovery of a big void in Khufu’s Pyramid by observation of cosmic-ray muons, Nature (London) 552, 386 (2017).
  7. A. Nishio, K. Morishima, K. Kuwabara, and M. Nakamura, Development of nuclear emulsion detector for muon radiography, Phys. Procedia 80, 74 (2015).
  8. H. Tanaka, K. Nagamine, N. Kawamura, S. N. Nakamura, K. Ishida, and K. Shimomura, Development of a two-fold segmented detection system for near horizontally cosmic-ray muons to probe the internal structure of a volcano, Nucl. Instrum. Methods Phys. Res., Sect. A 507, 657 (2003).
  9. X. Hu, L. S. Ökvist, E. Åström, F. Forsberg, P. Checchia, G. Bonomi, I. Calliari, P. Calvini, A. Donzella, E. Faraci, F. Gonella, J. Klinger, D. Pagano, A. Rigoni, P. Zanuttigh, P. Ronchese, M. Urbani, S. Vanini, A. Zenoni, and G. Zumerle, Exploring the capability of muon scattering tomography for imaging the components in the blast furnace, ISIJ Int. 58, 35 (2018).
  10. H. Fujii, K. Hara, S. Hashimoto, F. Ito, H. Kakuno, S. Kim, M. Kochiyama, K. Nagamine, A. Suzuki, Y. Takada, Y. Takahashi, F. Takasaki, and S. Yamashita, Performance of a remotely located muon radiography system to identify the inner structure of a nuclear plant, Prog. Theor. Exp. Phys. 2013, 073C01 (2013).
  11. H. Fujii, K. Hara, K. Hayashi, H. Kakuno, H. Kodama, K. Nagamine, K. Sato, K. Sato, S.-H. Kim, A. Suzuki, K. Takahashi, and F. Takasaki, Detection of on-surface objects with an underground radiography detector system using cosmic-ray muons, Prog. Theor. Exp. Phys. 2017, 053C01 (2017).
  12. G. Jonkmans, V. N. P. Anghel, C. Jewett, and M. Thompson, Nuclear waste imaging and spent fuel verification by muon tomography, Ann. Nucl. Energy 53, 267 (2013).
  13. S. Vanini, P. Calvini, P. Checchia, A. Rigoni Garola, J. Klinger, G. Zumerle, G. Bonomi, A. Donzella, and A. Zenoni, Muography of different structures using muon scattering and absorption algorithms, Phil. Trans. R. Soc. A 377, 20180051 (2018).
  14. S. Procureur, Muon imaging: Principles, technologies and applications, Nucl. Instrum. Methods Phys. Res., Sect. A 878, 169 (2018), Radiation Imaging Techniques and Applications.
  15. A. I. Titov, B. Kämpfer, and H. Takabe, Dimuon production by laser-wakefield accelerated electrons, Phys. Rev. ST Accel. Beams 12, 111301 (2009).
  16. B. S. Rao, J. H. Jeon, H. T. Kim, and C. H. Nam, Bright muon source driven by GeV electron beams from a compact laser wakefield accelerator, Plasma Phys. Controlled Fusion 60, 095002 (2018).
  17. L. Calvin, P. Tomassini, D. Doria, D. Martello, R. M. Deas, and G. Sarri, Laser-driven muon production for material inspection and imaging, Front. Phys. 11 (2023).
  18. C. Aniculaesei et al., The acceleration of a high-charge electron bunch to 10 GeV in a 10-cm nanoparticle-assisted wakefield accelerator, Matter Radiat. Extremes 9, 014001 (2023).
  19. J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J.-P. Rousseau, F. Burgy, and V. Malka, A laser-plasma accelerator producing monoenergetic electron beams, Nature (London) 431, 541 (2004).
  20. C. G. R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C. B. Schroeder, D. Bruhwiler, C. Nieter, J. Cary, and W. P. Leemans, High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding, Nature (London) 431, 538 (2004).
  21. W. Leemans, A. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. Schroeder, C. Tóth, J. Daniels, D. Mittelberger, S. Bulanov, J.-L. Vay, C. Geddes, and E. Esarey, Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime, Phys. Rev. Lett. 113, 245002 (2014).
  22. S. P. D. Mangles, C. D. Murphy, Z. Najmudin, A. G. R. Thomas, J. L. Collier, A. E. Dangor, E. J. Divall, P. S. Foster, J. G. Gallacher, C. J. Hooker, D. A. Jaroszynski, A. J. Langley, W. B. Mori, P. A. Norreys, F. S. Tsung, R. Viskup, B. R. Walton, and K. Krushelnick, Monoenergetic beams of relativistic electrons from intense laser-plasma interactions, Nature (London) 431, 535 (2004).
  23. X. Wang et al., Quasi-monoenergetic laser-plasma acceleration of electrons to 2 GeV, Nat. Commun. 4, 1988 (2013).
  24. A. Gonsalves et al., Petawatt laser guiding and electron beam acceleration to 8 GeV in a laser-heated capillary discharge waveguide, Phys. Rev. Lett. 122, 084801 (2019).
  25. A. Picksley, J. Stackhouse, C. Benedetti, K. Nakamura, H. Tsai, R. Li, B. Miao, J. Shrock, E. Rockafellow, H. Milchberg, C. Schroeder, J. van Tilborg, E. Esarey, C. Geddes, and A. Gonsalves, Matched guiding and controlled injection in dark-current-free, 10-GeV-class, channel-guided laser-plasma accelerators, Phys. Rev. Lett. 133, 255001 (2024).
  26. J. Shrock, E. Rockafellow, B. Miao, M. Le, R. Hollinger, S. Wang, A. Gonsalves, A. Picksley, J. Rocca, and H. Milchberg, Guided mode evolution and ionization injection in meter-scale multi-GeV laser wakefield accelerators, Phys. Rev. Lett. 133, 045002 (2024); E. Rockafellow, B. Miao, J. E. Shrock, A. Sloss, M. S. Le, S. W. Hancock, S. Zahedpour, R. C. Hollinger, S. Wang, J. King, P. Zhang, J. Šišma, G. M. Grittani, R. Versaci, D. F. Gordon, G. J. Williams, B. A. Reagan, J. J. Rocca, and H. M. Milchberg, Development of a high charge 10 GeV laser electron accelerator, Phys. Plasmas 32, 053102 (2025); B. Miao, J. Shrock, L. Feder, R. Hollinger, J. Morrison, R. Nedbailo, A. Picksley, H. Song, S. Wang, J. Rocca, and H. Milchberg, Multi-GeV electron bunches from an all-optical laser wakefield accelerator, Phys. Rev. X 12, 031038 (2022).
  27. L. Kiani et al., High average power ultrafast laser technologies for driving future advanced accelerators, J. Instrum. 18, T08006 (2023).
  28. J. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Vol. 3.
  29. A. W. Chao, K. H. Mess, M.Tigner, and F.Zimmermann. Handbook of Accelerator Physics and Engineering (World Scientific, Singapore, 2013).
  30. Y.-S. Tsai, Pair production and bremsstrahlung of charged leptons, Rev. Mod. Phys. 46, 815 (1974).
  31. H. Bethe, W. Heitler, and P. A. M. Dirac, On the stopping of fast particles and on the creation of positive electrons, Proc. R. Soc. A 146, 83 (1997).
  32. S. Agostinelli et al., geant4-A simulation toolkit, Nucl. Instrum. Methods Phys. Res., Sect. A 506, 250 (2003).
  33. J. Allison et al., geant4 developments and applications, IEEE Trans. Nucl. Sci. 53, 270 (2006).
  34. J. Allison et al., Recent developments in geant4, Nucl. Instrum. Methods Phys. Res., Sect. A 835, 186 (2016).
  35. K. Nakamura, H.-S. Mao, A. J. Gonsalves, H. Vincenti, D. E. Mittelberger, J. Daniels, A. Magana, C. Toth, and W. P. Leemans, Diagnostics, control and performance parameters for the BELLA high repetition rate petawatt class laser, IEEE J. Quantum Electron. 53, 1 (2017).
  36. B. Miao, J. E. Shrock, E. Rockafellow, A. J. Sloss, and H. M. Milchberg, Meter-scale supersonic gas jets for multi-GeV laser-plasma accelerators, Rev. Sci. Instrum. 96, 043003 (2025).
  37. C. G. Durfee and H. M. Milchberg, Light pipe for high intensity laser pulses, Phys. Rev. Lett. 71, 2409 (1993).
  38. R. J. Shalloo, C. Arran, L. Corner, J. Holloway, J. Jonnerby, R. Walczak, H. M. Milchberg, and S. M. Hooker, Hydrodynamic optical-field-ionized plasma channels, Phys. Rev. E 97, 053203 (2018); R. Shalloo, C. Arran, A. Picksley, A. von Boetticher, L. Corner, J. Holloway, G. Hine, J. Jonnerby, H. Milchberg, C. Thornton, R. Walczak, and S. Hooker, Low-density hydrodynamic optical-field-ionized plasma channels generated with an axicon lens, Phys. Rev. Accel. Beams 22, 041302 (2019); A. Picksley, A. Alejo, R. J. Shalloo, C. Arran, A. von Boetticher, L. Corner, J. A. Holloway, J. Jonnerby, O. Jakobsson, C. Thornton, R. Walczak, and S. M. Hooker, Meter-scale conditioned hydrodynamic optical-field-ionized plasma channels, Phys. Rev. E 102, 053201 (2020); A. Picksley, A. Alejo, J. Cowley, N. Bourgeois, L. Corner, L. Feder, J. Holloway, H. Jones, J. Jonnerby, H. Milchberg, L. Reid, A. Ross, R. Walczak, and S. Hooker, Guiding of high-intensity laser pulses in 100-mm-long hydrodynamic optical-field-ionized plasma channels, Phys. Rev. Accel. Beams 23, 081303 (2020); A. Picksley, J. Chappell, E. Archer, N. Bourgeois, J. Cowley, D. Emerson, L. Feder, X. Gu, O. Jakobsson, A. Ross, W. Wang, R. Walczak, and S. Hooker, All-optical GeV electron bunch generation in a laser-plasma accelerator via truncated-channel injection, Phys. Rev. Lett. 131, 245001 (2023).
  39. N. Lemos, L. Cardoso, J. Geada, G. Figueira, F. Albert, and J. M. Dias, Guiding of laser pulses in plasma waveguides created by linearly-polarized femtosecond laser pulses, Sci. Rep. 8, 3165 (2018).
  40. L. Feder, B. Miao, J. E. Shrock, A. Goffin, and H. M. Milchberg, Self-waveguiding of relativistic laser pulses in neutral gas channels, Phys. Rev. Res. 2, 043173 (2020); B. Miao, L. Feder, J. Shrock, A. Goffin, and H. Milchberg, Optical guiding in meter-scale plasma waveguides, Phys. Rev. Lett. 125, 074801 (2020).
  41. D. E. Groom, N. V. Mokhov, and S. I. Striganov, Muon stopping power and range tables 10 MeV-100 TeV, At. Data Nucl. Data Tables 78, 183 (2001).
  42. R. Frühwirth and M. Regler, On the quantitative modelling of core and tails of multiple scattering by Gaussian mixtures, Nucl. Instrum. Methods Phys. Res., Sect. A 456, 369 (2001).
  43. H. A. Bethe, Moliere’s theory of multiple scattering, Phys. Rev. 89, 1256 (1953).
  44. L. Dahing, R. Yahya, R. Yahya, and H. Hassan, Non destructive multi elemental analysis using prompt gamma neutron activation analysis techniques: Preliminary results for concrete sample, AIP Conf. Proc. 1614, 20 (2014).
  45. C. Benedetti, C. B. Schroeder, E. Esarey, C. G. R. Geddes, and W. P. Leemans, Efficient modeling of laser-plasma accelerators with inf&rno, AIP Conf. Proc. 1299, 250 (2010).
  46. C. Benedetti, C. B. Schroeder, C. G. R. Geddes, E. Esarey, and W. P. Leemans, An accurate and efficient laser-envelope solver for the modeling of laser-plasma accelerators, Plasma Phys. Controlled Fusion 60, 014002 (2017).

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Phys. Rev. Accel. Beams 28, 103401– Published 8 October, 2025
  • Received 4 November 2024
  • Accepted 18 August 2025
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