By D.R. Bates (ed.), Benjamin Bederson (ed.)
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The more recent calculations by Berrington et al. 3meV, respectively. 3eV was classified He-(ls, 2s2)'S, it became necessary to ask about the existence of He-(ls2, 2s)'S. The question of a stable state of He-(ls2,2s) had been addressed early on by Wu (1936) when making electron affinity calculations, with a negative response. 5 eV, which could have been due to a temporary negative-ion state. The effect observed in these early total cross section measurements is shown in Fig. 21 together with the total cross-section measurements of Golden and Bandel (1965a).
Are more precise principally because of the higher pressures used. It would be very useful if some cross section could be known very well so that it could be used as a standard against which all other cross-section measurements could be calibrated. However, attempts to relate total cross sections to momentum transfer cross sections or vice versa have shown that differences of about 10% exist for the simplest case of e--He scattering (see Bederson and Kieffer, 1971). From the discussion of the previous section, it would seem that the fitting of a resonance in a particular partial wave to an analytic form leads to a measurement of the nonresonant part of the phase shift in that partial wave at the resonance energy.
In a frame moving with the target, the velocity of the electron is given by v;2 = 0," f 0: - 2v,v, cos 9 (46) The energy of the electron in this frame EQ is given by E i = E, + (m/M)E, - 2(m/M)'~2(E,E,)''2 cos 0 (47) In a crossed-beam experiment cos 9 = 0 and for m / M << 1 and E, << EL, EL E, . In order to get an idea of the contributions to the energy spread in the experiment, AEL, we differentiate Eq. (47). A0 (49) For m/M << 1 and reasonable values of A E e , the second term in Eq. (49) may be neglected with respect to AEe .