@article{e39b755896f646aa8e50b1c0a7fa78e1,
title = "A tabulation of the doppler integrals Ψ(x, t) and Φ(x, t)",
abstract = "The doppler integrals Ψ(x, t) and Φ(x, t) have been calculated over a wide range of arguments, t=0 to 10 000 and x=0 to 20 t with an accuracy better than 0.2 per cent. The results for Ψ(x, t) are compared with other published and unpublished calculations and errors in the old calculations are brought to notice.",
author = "Seth, {K. K.} and Tabony, {R. H.}",
note = "Funding Information: have been found useful in atomic and nuclear physics as well. The function ~(x,t) arose originally in the consideration of the Doppler broadening of the Lorentzian shape of the absorption lines in atomic spectral'2). Zemansky 1) and Born 2) evaluated these integrals by making a number of series approximations valid over different ranges of x and t. The interest in these functions was revived by the work of Bethe and Placzek 3) who showed that resonances in nuclear cross sections undergo similar broadening due to the effect of thermal motion of target nuclei. In particular, the shapes of resonances observed in neutron total cross sections are significantly affected by this broadening process 4) and values of ~ and • functions are required in order to permit the extraction of level widths from the observed resonance widths or the areas under the transmission dips. These integrals must be evaluated in order to do the correct analysis of the average total cross sections as well, if average parameters such as neutron strength functions and effective nuclear radii are desired. Ourinterestintheseintegralsarosefrom the • This work was supported in part by the U. S. Atomic Energy Commission. t Permanent address, Physics Department, Northwestern Uni-versity, Evanston, Ill. § Now at Physics Department, Boston College, Chestnut Hill, Mass.",
year = "1964",
month = dec,
day = "2",
doi = "10.1016/0029-554X(64)90181-8",
language = "English (US)",
volume = "31",
pages = "333--336",
journal = "Nuclear Instruments and Methods",
issn = "0029-554X",
publisher = "Elsevier BV",
number = "2",
}