On three-body scattering cross sections

Amrein, W. O. ; Sinha, K. B. (1982) On three-body scattering cross sections Journal of Physics A: Mathematical and General, 15 (5). p. 1567. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/15/5/018?v_sho...

Related URL: http://dx.doi.org/10.1088/0305-4470/15/5/018

Abstract

Using a Hilbert space version of the Faddeev method. The authors prove finiteness and continuity as a function of the energy of the total scattering cross section for three quantum mechanical particles with two-body initial states. It is assumed that the pair potentials are locally in Lq(R3) for some q > 3/2 and decay as mod x mod −2- delta at infinity.

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