On the spectrum of relativistic electrons accelerated in cosmic-ray sources |
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| Authors: | V L Ginzburg S I Syrovatskii |
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| Institution: | (1) Lebed v Physical Institute, U.S.S.R. Academy of Sciences, Moscow, USSR |
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| Abstract: | The data on the spectrum of the cosmic-ray electron component near the earth, on the radio-spectra of radio-galaxies, quasars and the Crab Nebula, as well as the data pertaining to the X-ray spectrum of the cosmic background, all agree that the sources of cosmic-ray electrons (such as supernovae and galactic nuclei) inject particles characterized by a power spectrumN(E)=KE
– 0, with 0 1.5–2.5. A mechanism is known in which the source emits a proton-nuclear component of cosmic rays with a spectrumN
n
(E)=K
n
E
–
n, n =  + 2, =w
cr/(w–w
cr), wherew
cr is the cosmic-ray energy density in the source, andw=w
cr+w
n+w
turb, the total energy density. We obtain =2.5 in agreement with observations on the natural assumption that =0.5. Within the framework of the same model with some additional assumptions, the electrons in the source, as well as those ejected by the source, are shown to have a power-spectrum characterized with 0  n = + 2. Thus the model discussed gives an adequate spectrum for both the proton-nuclear and the electron components of cosmic rays. |
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| Keywords: | |
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