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Unitarization Technics in Hadron Physics with Historical Remarks

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arxiv 2005.14417 v2 pith:HYBRJJYQ submitted 2020-05-29 hep-ph nucl-th

classification hep-phnucl-th
keywords connectionexpansioninverselikemethodmethodsthemunitarization
verification ladder T0 review T1 audit T2 compute T3 formal
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We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, K-matrix approach, Inverse Amplitude Method, Pad\'e approximants and the N/D method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omn\'es solution, generalization to coupled channels and the Khuri-Treiman formalism, among others.

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Cited by 2 Pith papers

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    A neural optimizer solves the Atkinson-Mandelstam unitarity equations over the full space of amplitudes and, together with standard bootstrap methods, maps the allowed region of zero-double-discontinuity S-matrices, t...

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    hep-ph 2024-12 conditional novelty 6.0 of 10

    New global, dispersion-constrained parametrizations for the S2, P, D, F, and G pion-pion partial waves, valid to roughly 1.8 to 2.1 GeV.

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