Mathematics – Probability
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...344..525l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 344, Sept. 1, 1989, p. 525-530.
Mathematics
Probability
13
Astronomical Spectroscopy, Fluorescence, Line Spectra, Spectrum Analysis, Far Infrared Radiation, Hydroxyl Radicals, Hyperfine Structure, Molecular Spectra, Oxygen Spectra
Scientific paper
An escape probability method is developed that utilizes realistic line profiles to account for line overlap effects. This enables a test of the accuracy of the simpler procedure developed by Elitzur and Netzer (1985) that is also based on the escape probability method but which utilizes rectangular profiles. Good agreement is found between the two methods in calculations involving a range of possible physical situations including the Bowen fluorescence phenomenon. the simple rectangular profile method can thus be used with confidence in escape probability calculations involving line overlap. Calculations using the more accurate method are performed to see what effects the overlap of the far-infrared rotational lines of the OH molecule have on the ground-state hyperfine levels. It is found that the overlap can lead to inversion and thus to maser production.
Elitzur Moshe
Lockett Philip
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