Determine the physical origin of the inferred Lambda(1405) poles

Determine whether the singularities in the dominant [2_bt, 1_bb, 0_tb] pole configuration represent dynamically generated quantum states or compensating structures associated with subtle background patterns in the empirical CLAS data, using precise pole locations and an appropriate dynamical model.

Background

The CNN ensemble identifies the [2_bt, 1_bb, 0_tb] configuration as the dominant global pole structure in the CLAS invariant-mass data. However, classification of the number and Riemann-sheet locations of poles does not by itself establish their dynamical interpretation.

The unresolved issue is whether the inferred poles correspond to genuine dynamically generated states or whether some are effective structures introduced to reproduce subtle non-resonant background features. Resolving this requires accurate complex pole positions and a dynamical coupled-channel analysis, although the paper emphasizes that such an interpretation is model- or theory-dependent.

References

Without precise pole locations, one cannot determine whether some of the singularities act as a dynamically generated quantum states or simply compensating for subtle background specific patterns in the empirical data.

— Revisiting the $Λ(1405)$ pole structure with convolutional neural networks  (2608.22747 - Pagayon et al., 24 Aug 2026) in Section 4, subsection “Unified analysis of Σπ charge channels”