Download Advances in Atomic and Molecular Physics, Vol. 19 by David Bates, Benjamin Bederson PDF

By David Bates, Benjamin Bederson

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Let (4, , q2, q3)be the Cartesian coordinates of the electron with respect to the proton, (q4, q5, q6) the coordinates of the projectile nucleus (2)with respect to the center of mass of the hydrogen atom (p, e), and (q,, q8,q9)the coordinates the center of mass of the entire system. The pi(i = 1, . . , 9) are the corresponding conjugate momenta. By subtracting the center of mass motion, the system ( 159) is reduced to 12 coupled equations for qi(i = I , , . , , 6 ) and pi(i = 1, . . , 6 ) (Olson and Salop, 1977): pi, p, = ' 1 ( 1 + m , I + m , qi + i = 1,2,3 ( I60a) i = 4, 5, 6 ( 160b) 1 ~ qi+3) Z I -++;R: R$ ( 160c) 52 B.

Lol)], with 1, = n - 1 as a dominantly populated u/n2+a substate. With increasing n, the mixing parameter con u/R, (a > 0 ) again decreases, which leads to a shift of the 1, toward lower values of l(1, < n - 1). More detailed discussions of the final-state distributions of captured electrons (including the m-distributions) in the multichannel Landau-Zener model, as well as in other theoretical treatments of the chargeexchange process, have been given by Janev ( 1982a,b). - - 3. Decay Models If the charge of multiply charged ions is very large, such that the density of final states available for electron capture is also high, the process can be considered as an underbamer electron transition (tunneling) into a quasicontinuum of states.

H . Bransden and R. K. Janev Since the rotational coupling is most pronounced at smaller values of R (the angular velocity of nuclear motion is 8 = -u/R2 for a linear trajectory) and since the curve crossing takes place at large R, it is sufficient to consider the effect of the Stark mixing only in the region R < R,. Furthermore, if the collision velocity is not extremely small, the radial coupling (in the region 6R,) and the rotational coupling (in the region R < R, between two passes of the crossing point R,) may be considered independently.

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