On three-body scattering cross sections

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, , Citation W O Amrein and K B Sinha 1982 J. Phys. A: Math. Gen. 15 1567 DOI 10.1088/0305-4470/15/5/018

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1 Dept. of Theoretical Phys., Univ. of Geneva, Geneva, Switzerland

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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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