Target motion

Studies of the Pgl electron spectra have shown that, in spite of all the mentioned complications, many Pgl systems with molecular targets can still be well described within the theory of simple Pgl, if only the possibility of vibrational transitions is incorporated into the function r(fl). Within the Born-Oppenheimer approximation for both the projectile-target motion and the intramolecular motion, this is done in the following way. We denote by r,(rt) the width belonging to a certain final electronic state, defined as in (11.85). Then r,( ) can, at any distance R, be decomposed as... 

Maier (longitudinal tandem mass spectrometer) and Teloy and Gerlich (guided-ion-beam technique). (The former data were taken from their published paper and may be inaccurate, since the figure therein was small and the data were plotted on a logarithmic scale.) Note that in neither case has correction been made for target motion. Ep is the laboratory energy of the neon ion. 

Fig. 24. The experimental excitation function for the reaction C (D2,D)CD, due to Maier " is shown as the curve labeled M. The curve Q is effectively the true excitation function when the experimental curve is deconvoluted to remove the effect of thermal target motion. In practice, the curve Q is found by trial to be a best curve, which, when convoluted to include the effect of thermal target motion, yields the closet fit to the experimental excitation function. The data points indicate the result of convoluting the curve Q, and the agreement with the curve M is seen to be extremely good. " ...

Figure 4.68. Measuring system for the determination of the velocity of target motion by Fabry-Perot interferometry...

It is necessary to predict target motion over short periods for measurement updating and over long periods to satisfy user needs such as fire control or collision avoidance. The resulting prediction error for... 

In eqs. (2.7)-(2.9) is a physical eigenstate of Hp and is an antisymmetrized eigenstate of is the wave function describing the relative projectile-target motion. The homogeneous solution may be similarly expanded as... 

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