Da. Padmavathi et al., ROLE OF POTENTIAL STRUCTURE IN NONADIABATIC COLLISIONS WITH APPLICATIONS TO HE-]HE++NE(2P(5)3S) AND NA+I-]NA++I-(+NE(2P(6)), Physical review. A, 48(1), 1993, pp. 279-285
The first-order functional-sensitivity densities deltasigma12(E)/delta
V(ij)(R) from close-coupling calculations are used for a quantitative
probe of the role of structure in crossing diabatic curves used to mod
el nonadiabatic collisions. Application to the excitation of Ne by He shows a region of significance for deltasigma12(E)/deltaV12 (R) as a
prominent Gaussian-like profile around the crossing point (R) in acco
rd with the delta(R-R) idealization of the Landau-Zener-Stueckelberg
(LZS) theory. Similarly, the densities deltasigma12(E)/deltaV11(R) and
deltasigma12(E)/deltaV22(R) mimic ddelta(R-R)/dR-type behavior with
one being the negative of the other in the neighborhood of R, in qual
itative agreement with the LZS theory. However, all three sensitivity
profiles identify a much broader area of importance for the curves tha
n the loosely defined avoided-crossing region. Also, although the sens
itivities themselves decrease with increasing energy, the domain of im
portance of the curves increases. Examination of the functional-sensit
ivity densities deltasigma12(E)/deltaV(ij)(R) for the chemi-ionization
collision Na + I --> Na+ + I- reveals regions of potential-function i
mportance very different from that predicted by the LZS theory. The ch
emi-ionization cross section is about ten times more sensitive to the
ionic curve than the covalent curve. Also, the domain of sensitivity o
f the ionic curve is larger compared to that of the covalent curve. Th
e density deltasigma12(E)/deltaV12(R) for chemi-ionization shows that
the area of maximum potential significance is not at the crossing poin
t itself but the regions bracketing it on both sides. Also, the domina
nt sign dependence of the coupling sensitivity is unexpectedly negativ
e. The results offer other observations about the domain of validity o
f the intuitive pictures rooted in the LZS theory. The significance of
these results to the inversion of inelastic cross-section data is bri
efly discussed.