Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-body scattering: Ladders and Resonances   We discuss unitarity constraints on the dynamics of a system of three
interacting particles. We show how the short-range interaction that describes
three-body resonances can be separated from the long-range exchange processes,
in particular the one-pion-exchange process. It is demonstrated that unitarity
demands a specific functional form of the amplitude with a clear
interpretation: the bare three-particle resonances are dressed by the initial-
and final-state interaction, in a way that is consistent with the considered
long-range forces. We postulate that the resonance kernel admits a
factorization in the energy variables of the initial- and the final-state
particles. The factorization assumption leads to an algebraic form for the
unitarity equations, which is reminiscent of the well-known two-body-unitarity
condition and approaches it in the limit of the narrow-resonance approximation.

9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
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The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn