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Dispersive approaches for three-particle final state interaction

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Abstract

In this work, we present different representations of the Khuri-Treiman equation and discuss advantages and disadvantages of each representation. In particular we focus on the inversion technique proposed by Pasquier, which, even though developed a long time ago, has not been used in modern analyses of data on three particle decays. We apply the method to a toy model and compare the sensitivity of this and alternative solution methods to the left-hand cut contribution. We also discuss the meaning and applicability of Watson’s theorem when three particles in final states are involved.

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Authors and Affiliations

  1. Physics Department, Indiana University, 47405, Bloomington, IN, USA

    Peng Guo & Adam P. Szczepaniak

  2. Center For Exploration of Energy and Matter, Indiana University, 47408, Bloomington, IN, USA

    Peng Guo & Adam P. Szczepaniak

  3. Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA

    Peng Guo, I. V. Danilkin & Adam P. Szczepaniak

Authors
  1. Peng Guo
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  2. I. V. Danilkin
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  3. Adam P. Szczepaniak
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Correspondence to Peng Guo.

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Communicated by R. Alkofer

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Guo, P., Danilkin, I.V. & Szczepaniak, A.P. Dispersive approaches for three-particle final state interaction. Eur. Phys. J. A 51, 135 (2015). https://doi.org/10.1140/epja/i2015-15135-7

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  • DOI: https://doi.org/10.1140/epja/i2015-15135-7

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