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Global parameterization of scattering up to 2 .

J R Pelaez1, A Rodas1, J Ruiz de Elvira2

  • 11Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, 28040 Madrid, Spain.

The European Physical Journal. C, Particles and Fields
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We developed global parameterizations for pion-nucleon (πN) scattering S0 and P partial waves up to 2 GeV. These models accurately describe experimental data and dispersive analyses, aiding phenomenological applications.

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Area of Science:

  • Nuclear Physics
  • Particle Physics
  • Hadron Spectroscopy

Background:

  • Pion-nucleon (πN) scattering is fundamental to understanding strong interactions.
  • Previous partial-wave dispersive analyses provide valuable insights but require comprehensive parameterizations.

Purpose of the Study:

  • To develop global parameterizations for πN scattering S0 and P partial waves up to 2 GeV.
  • To ensure these parameterizations accurately describe existing data and dispersive analyses.
  • To provide reliable tools for phenomenological applications in nuclear and particle physics.

Main Methods:

  • Global parameterization of S0 and P partial waves for πN scattering.
  • Description of real and complex axis outputs from dispersive analyses.
  • Fulfillment of forward dispersion relations.
  • Fitting experimental data above 1.43 GeV.

Main Results:

  • Successful global parameterizations for πN scattering S0 and P partial waves up to 2 GeV.
  • Accurate description of dispersive analysis outputs and uncertainties.
  • Good agreement with experimental data above 1.43 GeV.
  • Accurate reproduction of pole parameters for various resonances.

Conclusions:

  • The developed global parameterizations are robust and suitable for phenomenological use.
  • These parameterizations advance the understanding of πN scattering and related physics.
  • The work provides a valuable resource for the nuclear and particle physics community.