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On causality, unitarity and perturbative expansions

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arxiv 1009.5928 v1 pith:G2UNGOII submitted 2010-09-29 hep-ph

I.V. Danilkin , A.M. Gasparyan , M.F.M. Lutz This is my paper · ORCID
classification hep-ph
keywords unitaritycaseperturbativescatteringadvocateamplitudeamplitudesanalytic
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We present a pedagogical case study how to combine micro-causality and unitarity based on a perturbative approach. The method we advocate constructs an analytic extrapolation of partial-wave scattering amplitudes that is constrained by the unitarity condition. Suitably constructed conformal mappings help to arrive at a systematic approximation of the scattering amplitude. The technique is illustrated at hand of a Yukawa interaction. The typical case of a superposition of strong short-range and weak long-range forces is investigated.

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Cited by 1 Pith paper

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  1. Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3

    hep-ph 2019-08 conditional novelty 6.0 of 10

    For meson-baryon interactions at chiral order Q^3, the 24 counterterms obey 22 large-N_c sum rules, leaving only 2 independent parameters at leading order.

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