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  • Letter
  • Open Access

Synchrotron radiation by slowly rotating fermions

Matteo Buzzegoli, Jonathan D. Kroth, Kirill Tuchin, and Nandagopal Vijayakumar

  • Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

Phys. Rev. D 107, L051901 – Published 21 March, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L051901

Abstract

We study the synchrotron radiation emitted by a charged fermion, rotating as a part of a larger system, in a constant magnetic field B parallel to the axis of rotation. The rotation is classical and independent of the magnetic field. The angular velocity of rotation Ω is assumed to be much smaller than the inverse magnetic length qB, which allows us to ignore the boundary effects at r=1/Ω. We refer to such rotation as slow, even though in absolute value it may be an extremely rapid rotation. Using the exact solution of the Dirac equation, we derived the intensity of electromagnetic radiation, its spectrum, and its chirality. We demonstrate by explicit numerical calculation that the effect of rotation on the radiation intensity increases with the particle energy. Depending on the relative orientation of the vectors Ω and B and the sign of the electric charge, the rotation can either strongly enhance or strongly suppress the radiation.

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Corrections

18 October, 2023

Correction: A typographical error in the value in the last sentence in the 11th paragraph has been fixed. Errors in the qB values presented in the captions of Figs. 1–3 have been set right. In the sixth, eighth, and ninth sentences of the 12th paragraph, the original wording “suppression” was replaced by “enhancement,” “smaller” was replaced by “larger,” and “enhancement” was replaced by “suppression,” respectively. In the second sentence of the 16th paragraph, the original wording “positive” was replaced by “negative” and “negative” was replaced by “positive.”

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References (25)

  1. L. Adamczyk et al. (STAR Collaboration), Global Λ hyperon polarization in nuclear collisions: Evidence for the most vortical fluid, Nature (London) 548, 62 (2017).
  2. L. P. Csernai, V. K. Magas, and D. J. Wang, Flow vorticity in peripheral high energy heavy ion collisions, Phys. Rev. C 87, 034906 (2013).
  3. W. T. Deng and X. G. Huang, Vorticity in heavy-ion collisions, Phys. Rev. C 93, 064907 (2016).
  4. Y. Jiang, Z. W. Lin, and J. Liao, Rotating quark-gluon plasma in relativistic heavy ion collisions, Phys. Rev. C 94, 044910 (2016); 95, 049904(E) (2017).
  5. X. L. Xia, H. Li, Z. B. Tang, and Q. Wang, Probing vorticity structure in heavy-ion collisions by local Λ polarization, Phys. Rev. C 98, 024905 (2018).
  6. F. Becattini, G. Inghirami, V. Rolando, A. Beraudo, L. Del Zanna, A. De Pace, M. Nardi, G. Pagliara, and V. Chandra, A study of vorticity formation in high energy nuclear collisions, Eur. Phys. J. C 75, 406 (2015); 78, 354(E) (2018).
  7. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, The effects of topological charge change in heavy ion collisions: ’Event by event P and CP violation’, Nucl. Phys. A803, 227 (2008).
  8. V. Skokov, A. Y. Illarionov, and V. Toneev, Estimate of the magnetic field strength in heavy-ion collisions, Int. J. Mod. Phys. A 24, 5925 (2009).
  9. V. Voronyuk, V. D. Toneev, W. Cassing, E. L. Bratkovskaya, V. P. Konchakovski, and S. A. Voloshin, (Electro-)Magnetic field evolution in relativistic heavy-ion collisions, Phys. Rev. C 83, 054911 (2011).
  10. A. Bzdak and V. Skokov, Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions, Phys. Lett. B 710, 171 (2012).
  11. J. Bloczynski, X. G. Huang, X. Zhang, and J. Liao, Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions, Phys. Lett. B 718, 1529 (2013).
  12. W. T. Deng and X. G. Huang, Event-by-event generation of electromagnetic fields in heavy-ion collisions, Phys. Rev. C 85, 044907 (2012).
  13. K. Tuchin, Time and space dependence of the electromagnetic field in relativistic heavy-ion collisions, Phys. Rev. C 88, 024911 (2013).
  14. B. G. Zakharov, Electromagnetic response of quark-gluon plasma in heavy-ion collisions, Phys. Lett. B 737, 262 (2014).
  15. C. G. de Oliveira and J. Tiomno, Representations of Dirac equation in general relativity, Nuovo Cimento 24, 672 (1962).
  16. F. W. Hehl and W. T. Ni, Inertial effects of a Dirac particle, Phys. Rev. D 42, 2045 (1990).
  17. A. A. Sokolov, I. M. Ternov, and C. W. Kilmister, Radiation from relativistic electrons, revised ed. (American Institute of Physics, New York, 1986).
  18. H. L. Chen, K. Fukushima, X. G. Huang, and K. Mameda, Analogy between rotation and density for Dirac fermions in a magnetic field, Phys. Rev. D 93, 104052 (2016).
  19. K. Mameda and A. Yamamoto, Magnetism and rotation in relativistic field theory, Prog. Theor. Exp. Phys. 2016, 093B05 (2016).
  20. G. Duffy and A. C. Ottewill, The rotating quantum thermal distribution, Phys. Rev. D 67, 044002 (2003).
  21. V. E. Ambrus and E. Winstanley, Rotating fermions inside a cylindrical boundary, Phys. Rev. D 93, 104014 (2016).
  22. S. Ebihara, K. Fukushima, and K. Mameda, Boundary effects and gapped dispersion in rotating fermionic matter, Phys. Lett. B 764, 94 (2017).
  23. M. N. Chernodub and S. Gongyo, Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions, Phys. Rev. D 95, 096006 (2017).
  24. K. Tuchin, Magneto-rotational dissociation of heavy hadrons in relativistic heavy-ion collisions, Phys. Lett. B 820, 136582 (2021).
  25. K. Tuchin, Role of magnetic field in photon excess in heavy ion collisions, Phys. Rev. C 91, 014902 (2015).

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