We present a derivation of an ECB-based relation between the branching ratio for autoionization F and the ratio between the cross sections for transfer ionization and single-electron capture. We apply this method to two different experimental results. The method yields semi-empirical upper limits for F of unity for double R.ydberg levels formed in Xeq+-He collisions for charge states up to q=29. The fact that direct measurements of aTl/(CrTi+aDC ) leads to values in the range 0.925. We point out that the apparent discrepancy between the results obtained for He and Xe targets at high q could be explained by population of higher angular momentum (1, I r) states in the latter case.
I. I n t r o d u c t i o nIn this paper we will present experimental results on branching ratios for autoionization, F, for doubly excited states of Xe (q-2)+ populated through two-electron transfer in Xeq+-He collisions at 4q keV [1]. We will also review earlier results for semi-empirical upper limits of F for double Rydberg states formed in 4q keV Xeq+-Xe collisions [2,3]. The latter results are obtained using the extended classical over barrier (ECB) model [4,5] and measured ratios between the cross sections for transfer ionization and single-electron capture, R [2,3]. In the present energy regime, where the collision velocity is much lower than the orbital velocities of active electrons (v<< 1 a.u.), transfer ionization has been found to proceed through the formation of an intermediate doubly excited state (nl, n'l') which autoionizes at large internuclear separations [6,7]:
X e q+ + B--+Xe(q-~)+(nl) + B + Xe(~-e)+(nl, n't ') + B 2+,Xe (q-~)+ + B 2+ + e-. (1) Here (n, n') and (l, l') denote the principal and angular momentum quantum numbers of the two transferred electrons, respectively, while B represents the target species. As indicated by (1), the two-electron transfer process proceeds through two consecutive one-electron transitions. It has been shown through numerous experimental studies of projectile scattering angles that such two-step processes dominate for collision systems where the densities of projectile capture states are sufficiently high [8][9][10].The electric dipole decay rate scales as q4 while the Coulombic autolonlzation rate is independent of q. Since a typical allowed radiative decay rate is about four orders of magnitude smaller than a typical autoionization rate in a neutral atom, one would expect that the two decay branches will be of equal importance for projectile charge states in the vicinity of q=lO [11]. This prediction is, however, partly contradicted by calculations by Hansen [12], who found that autoionization dominates the decay of doubly excited Ar 14+ states due to the possibility of low-energy electron em...