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Determination of off-shell ambiguities in correlation functions: Strategies to minimize them

R. Molina* and E. Oset†

  • *Contact author: Raquel.Molina@ific.uv.es
  • †Contact author: Eulogio.Oset@ific.uv.es
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Phys. Rev. D 112, 096006 – Published 6 November, 2025

DOI: https://doi.org/10.1103/rst4-rkmm

Abstract

We face here the problem of uncertainties in correlation functions due to the freedom in the off-shell dependence of the wave functions or, equivalently, off-shell ambiguities in the scattering matrices. We make the study for the case of meson baryon interaction, choosing the KΛ, KΣ, and ηN coupled channels, which are related to the N*(1535) resonance, and the K+K¯0 channel related to the a0(980) resonance. We find that, by using realistic interactions based on chiral dynamics, the uncertainties are small, of the order of 2–3%, but could be much bigger if other methods are used. However, our study shows the way to optimally overcome these uncertainties in the analysis of correlation functions, and we provide a series of recommendations for any general analysis.

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Phys. Rev. D 112, 096006– Published 6 November, 2025
  • Received 28 July 2025
  • Accepted 26 September 2025
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