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arXiv · 2506.03669

Off-shell ambiguities in correlation functions: strategies to minimize them

R. Molina·E. Oset
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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 $K\Lambda$, $K \Sigma$, $\eta N$ coupled channels, which are related to the $N^*(1535)$ resonance. We find that 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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R. Molina, E. Oset. 2025-06-04. Off-shell ambiguities in correlation functions: strategies to minimize them. https://arxiv.org/abs/2506.03669

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