By David Bates, Benjamin Bederson
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Textual content is a tribute to the existence and paintings of J. Q. Chen, discussing his contributions to nuclear and molecular physics. Covers a number of of his theories.
'Et moi . .. .. si j'avait su remark en revenir, One carrier arithmetic has rendered the je n'y serais aspect aIle. ' human race. It has positioned logic again Jules Verne the place it belongs. at the topmost shelf subsequent to the dusty canister labelled 'discarded non. The sequence is divergent; for this reason we will be sense'.
The research of scattering phenomena is an incredible topic of contemporary physics. A scattered particle presents a dynamical probe of the objective approach. the sensible challenge of curiosity this is the scattering of a low power electron by way of an N-electron atom. it's been tough during this sector of analysis to accomplish theoretical effects which are even qualitatively right, but quantitative accuracy is frequently wanted as an accessory to scan.
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Extra info for Advances in Atomic and Molecular Physics, Vol. 19
Is the Euler's constant. As seen from Eq. (108), the quantity xo = xo(u, Z ) depends logarithmically on u and is almost independent of Z . 5 X Zln(314/u) (cm2) (109) The basic idea ofthe decay model, namely the existence of a large number of ionic states available for the reaction, may also be formulated in terms of a dense multi-curve-crossingsystem. In that case one can introduce an internuclear distance R,,such that for R > R, all crossings are passed diabatically (with zero transition probability) and for R G R, the capture probability is equal to unity.
The linear trajectory was accurate above u = 0. ; the nonlinear trajectory was used at lower energies. B. H . Bransden and R. K. Janev 24 - 20-E = 15z i 0 0 c wl 8 10- 5- v OO 2 4 6 8 7 L ~ LABORATORY ENERGY (keV/amu) ’* 10 FIG. 2. Cross sections for electron capture by Li3+ from H(ls) at low velocities. (A) Experimental data of Seim et a/. (1980). Theoretical cross sections: (-) atomic expansion (Bransden and Noble, 1982); (---) molecular orbital expansion (Kimura and Thorson, I981 b): (----) UDWA (Ryufuku and Watanabe, 1979a,b).
A different approach, suggested by Mittleman and Quong (1968) and developed by Dewangan (1975, 1977), is based on the eikonal, or Glauber, approximation. The exact amplitude for charge exchange to a final level can be represented as (in the notation of Section II1,B) In the eikonal approximation (see, for instance, Bransden, 1983), the exact wave function for the system, y(r,l), is approximated by The phase factor represents scattering between the projectile of charge Z2 and the bound electron in the initial state, treating the bound electron as a fixed charge, which seems physically reasonable when the velocity of the projectile is large.
Advances in Atomic and Molecular Physics, Vol. 19 by David Bates, Benjamin Bederson