Cerenkov line emission - Basic theory

Astronomy and Astrophysics – Astronomy

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Atomic Spectra, Cerenkov Radiation, Emission Spectra, Line Spectra, Emissivity, Optical Thickness, Red Shift, Spectral Line Width

Scientific paper

Cerenkov radiation in the neighborhood of an atomic line has been numerically demonstrated (You and Cheng, 1980). The radiation was in the form of a redshifted, asymmetrical, broad line. The basic theory of this 'Cerenkov line emission' is developed in the present paper. It is shown that, with Delta-lambda representing the displacement from the given atomic line, the emissivity varies as the reciprocal of Delta-lambda while the absorption varies as the reciprocal of Delta-lambda-squared for very small Delta-lambda and is nearly constant for larger displacements. From this it follows, even in the optically-thick case, that there will be an emergent flux, that the emission will be redshifted, and that its profile will be broad and asymmetrical. Formulas are given for the profile, the total intensity, the displacement of the emission peak, and the total width. The theory predicts a strict relation between any two intensity ratios of Balmer lines. It offers a new way of solving some of the outstanding problems of quasar emission lines, the low Ly-alpha/H-beta ratio, their differing widths, their differing redshifts, etc.

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