Golden Rule fragment

Partial half widths for exiting the diatomic fragment in a precise v j ) vib-rotational state may be estimated by the Fermi s Golden Rule,... 

This paper is organized as follows. Section II is devoted to present the theoretical background needed to calculate the different rates within a Golden Rule frame. Finally, in Section III, we present the results obtained for an initial excitation V = 34, for which the Av = —1 channel only allows the fragmentation into He plus hNe all the other processes taking place on the Av = —2 channel. 

Using again the Golden Rule expression, we have the rate for fragmentation into two diatoms TD),... 

Since we seek the cause of an exponential dependence of lifetimes on van der Waals molecule properties the linear dependence on fragment velocity, v j, cannot be of great importance. It must then be the matrix element which controls the wide variation in vibrational predissociation lifetimes. The functions within this matrix element are factored out in equation (18) and presented in Fig. 7 for the example of F-H B that we have just considered. The radial functions Rq and have been transfered from Fig. 5 and the coupling term, V Q pq ng of equations (14) and (15) are presented. The product of these three functions, -aSRjjj(dV/dr)RQ, is the r-dependent integrand of the Golden Rule matrix element and it reveals the most about the efficiency (or inefficiency) of the vibrational predissociation process. 

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