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

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arxiv 2506.03669 v1 pith:ARYQJ63P submitted 2025-06-04 hep-ph nucl-th

R. Molina , E. Oset This is my paper
classification hep-phnucl-th
keywords functionscorrelationoff-shelluncertaintiesambiguitiesanalysisbaryonbigger
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum interference effects enhanced in $\pi^+p$ femtoscopic correlation functions

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The π⁺p correlation peak near 140 MeV/c arises from quantum interference of incident and scattered waves, while the Δ decay peaks near 220 MeV/c; their m_T-dependent mix explains the ALICE peak shift.

  2. Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.

  3. Probing the structure of the $D_{s 0}^*(2317)$ and $X(3872)$ states through correlation functions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Femtoscopic correlation functions for D0K+ and D0Dbar*0 pairs are predicted to be sensitive to the molecular versus bare-state composition of D_s0*(2317) and X(3872).

  4. Finding Low Star Discrepancy 3D Kronecker Point Sets Using Algorithm Configuration Techniques

    cs.NE 2026-04 unverdicted novelty 5.0 of 10

    Optimizing the two Kronecker parameters with irace yields new state-of-the-art L∞ star discrepancy for 3D point sets of size at least 500 and for ranges of sizes.

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