Bounds on the total scattering cross-section for N-body systems

Amrein, W. O. ; Pearson, D. B. ; Sinha, K. B. (1979) Bounds on the total scattering cross-section for N-body systems Il Nuovo Cimento A (1971-1996), 52 (1). pp. 115-131. ISSN 0369-3546

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Official URL: http://www.springerlink.com/content/h58x6576g78108...

Related URL: http://dx.doi.org/10.1007/BF02774944

Abstract

We consider quantum-mechanical nonrelativistic N particle scattering systems with pair potentials decreasing at infinity more rapidly than r−2. Let σ̅α (λ ) be the total scattering cross-section, at energy λ , for scattering initiated in a two-body channel α . We derive explicit bounds, in terms of the pair potentials, for weighted averages of σα (λ ) over a range of energies and discuss some interesting features of these bounds, in particular their implications for the high-energy behaviour of σα (λ ).

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