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arXiv · 2403.18265

A Deep Learning Framework for Disentangling Triangle Singularity and Pole-Based Enhancements

Abstract

Enhancements in the invariant mass distribution or scattering cross-section are usually associated with resonances. However, the nature of exotic signals found near hadron-hadron thresholds remain a puzzle today due to the presence of experimental uncertainties. In fact, a purely kinematical triangle diagram is also capable of producing similar structures, but do not correspond to any unstable quantum state. In this paper, we report for the first time, that a deep neural network can be trained to distinguish triangle singularity from pole-based enhancements with a reasonably high accuracy of discrimination between the two seemingly identical line shapes. We also identify the type of triangle enhancement that can be misidentified as a dynamic pole structure. We apply our method to confirm that the $P_ψ^N(4312)^+$ state is not due to a triangle singularity, but is more consistent with a pole-based interpretation, as determined solely through pure line-shape analysis. Lastly, we explain how our method can be used as a model-selection framework useful in studying other exotic hadron candidates.

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Darwin Alexander O. Co, Vince Angelo A. Chavez, Denny Lane B. Sombillo. 2024-11-27. A Deep Learning Framework for Disentangling Triangle Singularity and Pole-Based Enhancements. https://arxiv.org/abs/2403.18265

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