By D.R. Bates (ed.), Benjamin Bederson (ed.)
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Extra info for Advances in Atomic and Molecular Physics, Vol. 14
Therefore, one may conclude that the experimental evidence suggesting that there are additional resonances near the n = 2 levels of helium unaccounted for as yet by theory is on surer ground than the evidence suggesting that there are no additional resonances. However, the problem is clearly not as yet resolved. The excitation functions of many states of helium have been studied with high electron energy resolution by Heddle and co-workers (1973, 1974a,b, 1977; Heddle, 1977; Keesing, 1977). The work has shown that there are many resonances that affect the excitation functions.
First of all, if the background effect becomes comparable to the effect due to the target beam effect, obviously the result is statistically meaningless. Second, the effect due to multiple scattering cannot be compensated for by substraction. Finally, at high target gas flow rates, the effect of turning off the target gas beam may change the composition of the background gas. Thus the subtraction may introduce an error due to change in species. To illustrate some of these effects we consider the equations involved in a differential scattering experiment with a target gas beam from the work of Sutcliffe et al.
70 lnddrm energy k V ) FIG. 13. , 1974). (Copyright by The Institute of Physics. ) ofthe S-matrix in the vicinity of the 23S threshold by continuing the analytic form of the S-matrix in the vicinity of the (1s 2s2)2 S resonance across the 23S threshold using effective range theory. This type of procedure was used, for example, by Burke (1965) to estimate the S-wave contribution to the 23S excitation cross section. The matrix element corresponding to elastic scattering is, from Eq (1l), s0 -- e 2 i d o E - E, - i r / 2 E - E, ir/2 where 6, is the nonresonant S-wave phase shift r = ky2K and the scattering matrix is continued across the threshold according to the prescription iK = k , .
Advances in Atomic and Molecular Physics, Vol. 14 by D.R. Bates (ed.), Benjamin Bederson (ed.)