By David Bates, Benjamin Bederson

ISBN-10: 0080564798

ISBN-13: 9780080564791

ISBN-10: 0120038196

ISBN-13: 9780120038190

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Bransden and R. K . Janev 22 Clearly the adoption of the form (75) is arbitrary, and several other functions have been put forward based on physical intuition [some of these have been discussed by Delos (1 98 I)]. A particular form suitable for fully stripped ions of charge 2 incident on hydrogen atoms has been suggested by Vaaben and Taulbjerg (1981). It is 1-Z + +-1 + Z Z r j - rj f(r, R) = Zrj rj (77) This is obtained by studying the electrostatic properties of the system and ensures that the electron shares the translational motion of the centers 1, 2 and the center of charge in the limiting cases r, << r2, r2 << r, and the united atom limit, respectively.

This method has been reviewed in detail by BelkiC et ul. (1979) and we will only make a few brief remarks about it here. The idea is to take as a zero-order wave function for the initial state (within the straight-line impact parameter method), the function + - + ( 1 55) t ) ~ X iai P where is the initial wave function of the target and ai is a plane-wave translational factor. , i, iuzr2 - iv r2) ( 156) where N is a normalization factor, v = Z , Z , / u and V = Z,/v. A similar distorted wave yfis employed for the final channel of interest, and the scattering amplitude is expressed as a matrix element with respect to yi and yfof a corresponding perturbing potential operator.

In which for 6 2 25 keV/amu, the reduced cross sections q6)differ very little from each other. For 6 < 25 keV/amu, the difference between them for different values of Z ( 33) is within a factor of about two. , down to i? N 10-2 keV/amu (see Fig. 7). The scaling of Eqs. (1 54) has been derived from the charge-exchange cross section calculations based on Eqs. ( 148) - ( 1 53), taking account of excitation and ionization channels in the total probability p. In Fig. 8 the partial cross sections cn,for capture into a specific ionic principal shell in the H SiI4+and H NelO+collision systems, are shown.

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Advances in Atomic and Molecular Physics, Vol. 19 by David Bates, Benjamin Bederson


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