By David Bates, Benjamin Bederson

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**Extra resources for Advances in Atomic and Molecular Physics, Vol. 19**

**Example text**

Thus, a structure (two maxima) is expected in the n-distribution of captured electrons for u d I . A characteristic result of the M -VPS approximation for charge exchange in the H Z system is the quadratic dependence of the cross section on Z for u < 1 (in contrast to the linear one, predicted by the M-LZ and electron tunneling models). For the a&? component of the cross section, the ZZ dependence in the considered range follows from the VPS model itself. However, for the ab2,'crosssection, the quadratic Zdependence is an artifact of inappropriate R and Z dependences of the coupling matrix element Vo,(R,Z).

This results from the very concept of the models. However, within the electron tunneling formalism, one can still determine the level which will be preferentially populated in the process (Chibisov, 1976; Grozdanov and Janev, I978b). This is possible because of two circumstances: the resonant character of the process (in the particular model) and the strong variation of the decay probability with R. 768,which is an analytical fit of the results for n, 35 ELECTRON CAPTURE obtained in the unitarized distorted wave approximation (Ryufuku and Watanabe, 1979b).

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.