A Method of Calculating Cross Sections for Molecular Collisions

Cover A Method of Calculating Cross Sections for Molecular Collisions
A Method of Calculating Cross Sections for Molecular Collisions
Ernest Bauer
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95 ^: has its maxinmin for ^- h 15 23 2U 22 6-" is essentially zero fori > 6 30 U7 67 75 *^/d (expression (2) ) . 18 . 03 . 02 . 015 . 012 5pR/h (expression (U) ) evaluated at r ■ d 0. 5 . 08 . 06 . Ou . 03 evaluated at r corres- . 02 0. 5 0. 9 l. U 1. 8 ponding to the value of ^ that inaxiraizes G'q(. £) N. B. (i) E " 20. 27 X 10 e /a is too close to the threshold for the present method to yield reliable results, on accovtnt of the small number of phases that contribute.
(ii) There are conside
...rable differences in the value of the expression (U), 5pR/h, depending on just how one evaluates 6p, or V . As a third alternative one might substitute the expectation value of the momentum transfer for 6pj tliis yields values '^0. 3 for the expression (U).
The basic point is that expression (U) is of the order luiity but somewhat smaUfir so that one would expect the result for which lies somewhere between the C- and the Q- results.
- 21 - 2. 0n I(flvl0)l Figure 2a » The square of the transition ma- trix element, I (f|V'|0)l^, as a function of ^, 2 X 10"' ^-1 ^o;(-^)^ (cmr Figure 2b .


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