By David Bates, Benjamin Bederson

ISBN-10: 0080564798

ISBN-13: 9780080564791

ISBN-10: 0120038196

ISBN-13: 9780120038190

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1980). The partial cross sections were also calculated. 5 keV/amu, the n-distributions are shown in Fig. 4. It is seen from this figure that, in this range of 2,only a few final levels are significantly populated: one for even 2 (except for 2 = 20) and two for odd 2 (except for Z = 5). ’68 and changes by one unit when Z changes by two units. This gives rise to a specific oscillatory structure of the maxima of n-distributions, which remains also in the Z dependence of the total cross section (see Fig.

103), has been derived (in a different way) by Duman and Smirnov (1978). 577 . . is the Euler's constant. As seen from Eq. (108), the quantity xo = xo(u, Z ) depends logarithmically on u and is almost independent of Z . 5 X Zln(314/u) (cm2) (109) The basic idea ofthe decay model, namely the existence of a large number of ionic states available for the reaction, may also be formulated in terms of a dense multi-curve-crossingsystem. In that case one can introduce an internuclear distance R,,such that for R > R, all crossings are passed diabatically (with zero transition probability) and for R G R, the capture probability is equal to unity.

Provided that 20 B. H . Bransden and R. K. Janev In the diabatic basis H is no longer diagonal, so that interaction matrix given by elements Voin the PSS approximation are replaced by vij where Ho is the matrix element of H with respect to the diabatic states. It should be noted that levels i a n d j which have an avoided crossing in the adiabatic basis have a real crossing, Hii(Rc)= H,(Rc), in the diabatic basis. Apart from easing the numerical solution of the coupled equations, the diabatic basis is important because, particularly for the one-electron system, approximate diabatic orbitals can be constructed from perturbed atomic wave functions (Janev, 1976).

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

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