Pole structure inference of Λ(1405) via deep learning in the Σâ°Ï€â° invariant mass spectrum
Abstract
Peak structures in invariant mass distributions are often interpreted as genuine hadronic resonances. However, its existence near a hadron-hadron threshold results to ambiguous interpretations such as bound and virtual states as dynamical and kinematical effects come into play. These states can be inferred by studying the pole structure of the S-matrix. In this work, we analyzed one of these enhancements that is the Λ(1405) observed near the KÌ…N-threshold in the Σâ°Ï€â° invariant mass distribution from CLAS measurements of the γp → K+Σâ°Ï€â° reaction. Using a convolutional neural network, our results show that the Λ(1405) is a two-pole structure of the S-matrix in the second Riemann sheet and can be interpreted as a bound state of KÌ… and N.
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