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On the scalar form factor beyond the elastic region.

L von Detten1, F Noël1,2, C Hanhart1

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This study presents a new method to model pion-kaon scattering and production, crucial for understanding particle decays and searching for exotic states. The approach accurately incorporates inelastic effects and provides improved estimates for CP asymmetry.

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Area of Science:

  • * Particle Physics
  • * Quantum Field Theory
  • * Hadron Spectroscopy

Background:

  • * Pion-kaon pairs are common in heavy-particle decays.
  • * Consistent treatment of pion-kaon interactions is vital for Standard Model tests and exotic hadron searches.
  • * Watson's theorem relates elastic pion-kaon scattering phase shifts to form factor phases.

Purpose of the Study:

  • * To construct a scalar pion-kaon form factor model including inelastic effects.
  • * To fulfill constraints from pion-kaon scattering and maintain correct analytic structure.
  • * To analyze the decay B -> J/psi pi K and differentiate S-wave and P-wave resonances.

Main Methods:

  • * Developed a representation of the scalar pion-kaon form factor with resonance exchange.
  • * Incorporated inelastic effects and scattering constraints.
  • * Employed Padé approximants to extract resonance pole parameters and residues.

Main Results:

  • * Constructed a scalar pion-kaon form factor model satisfying scattering constraints and analytic structure.
  • * Differentiated S-wave and P-wave resonances in B -> J/psi pi K decay.
  • * Provided an improved estimate of CP asymmetry and extracted resonance pole parameters.

Conclusions:

  • * The developed method consistently treats pion-kaon interactions, including inelastic effects.
  • * This approach enhances the spectroscopy of excited kaon resonances and aids in exotic state searches.
  • * Extracted resonance parameters and a branching fraction upper limit for a specific decay.