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Unitarity, Analyticity and Crossing Symmetry in Two- and Three-hadron Final State Interactions

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arxiv 1507.02697 v1 pith:NMGPVZBB submitted 2015-07-09 hep-ph

Unitarity, Analyticity and Crossing Symmetry in Two- and Three-hadron Final State Interactions

classification hep-ph
keywords finalthree-hadronanalyticitycrossinginteractionsstatesymmetrytwo-
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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These notes are a fuller version of four lectures given at the 2015 International Summer Workshop in Reaction Theory held at Indiana University, Bloomington. The aim is to provide a simple introduction to how the tools of "the S-matrix era" - i.e. the constraints of unitarity, analyticity and crossing symmetry - can be incorporated into analyses of final state interactions in two- and three-hadron systems. The main focus is on corrections to the isobar model in three-hadron final states, which may be relevant once more as much larger data sets become available.

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  1. Three-body unitary determination of the $f_1(1285)$ and $f_1(1420)$ pole positions

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    Fitting a spectator-isobar three-body unitary amplitude to BESIII K0S K0S pi0 data yields poles at (1277±2±1)-i(12±1±0) MeV for f1(1285) and (1435±2±7)-i(40±2±1) MeV for f1(1420), with the latter traced to a K Kbar* q...