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Journal of Physical Studies 4(3), 245–258 (2000)
DOI: https://doi.org/10.30970/jps.04.245 THREE-BODY THEORY OF THE POLARIZATION INTERACTION BETWEEN A LIGHT CHARGED PARTICLE AND TWO-BODY COMPLEX AT INTERMEDIATE DISTANCESV. F. Kharchenko
Bogolyubov Institute for Theoretical Physics, National Academy of Science of Ukraine |
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On the basis of the general three-body formalism and the Watson-Feshbach definition of the effective (optical) potential, the behaviour of the polarization potential of the interaction between a light charged particle and two-body complex is investigated in a range of distances exceeding the size of the complex but bounded from above. The polarization potential in the range of variables is found to have a specific non-local long-range behaviour in all the orbital states. New analytical expressions for the kernel of the non-local operator of the polarization potential in the intermediate range of variables is derived in both the momentum and configuration spaces. The shape of the polarization potential in the range is shown to be fully determined by the Coulomb pair interaction and to be independent on the form of the interaction between particles inside the complex. The strength of the polarization interaction potential in the intermediate range appears to be proportional to the mass of the light charged incident particle and to the mean square radius of the complex.
PACS number(s): 03.65.Nk, 21.45.+v, 25.30.-c