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Propagation of Electromagnetic Waves in a Degenerate Neutrino Sea

Pratul Bandyopadhyay and Probhas Ray Chaudhuri

Sushen Kumar Saha

  • Indian Statistical Institute, Calcutta, India

  • K. C. Vidyayatan, Sukchar (24-Parganas), West Bengal, India

Phys. Rev. D 1, 377 – Published 15 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.377

Abstract

The propagation of electromagnetic waves in a Fermi sea of neutrinos is investigated on the basis of the photon-neutrino weak-coupling theory and is compared with the result obtained by Royer on the basis of the (eν)(eν) coupling. It is shown that a photon propagating through the neutrino sea satisfies a dispersion relation of the form ω2=ω02+k2c2, where (ω0)26.2×1023 EF2, EF being the Fermi energy of the sea. Finally, some remarks are made as to the possibility of the destruction of a photon when propagating through the sea due to the process γ+νν+ν+ν¯. It is found that the mean free path corresponding to this process is ≈ 1069 cm, much larger than the radius of the universe.

References (5)

  1. S. Weinberg, Phys. Rev. 128, 1457 (1962)
  2. J. Royer, Phys. Rev. 174, 1719 (1968)
  3. P. Bandyopadhyay, Phys. Rev. 173, 1481 (1968) Nuovo Cimento 55A, 367 (1968)
  4. V. N. Tsytovich, Zh. Eksperim. i Teor. Fiz. 40, 1775 (1961) [English transl.: Soviet Phys.—JETP 13, 1249 (1961)]
  5. J. B. Adams, M. A. Ruderman, and C. H. Woo, Phys. Rev. 129, 1382 (1963)

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