Statistical Inference of Scattering Parameters for Exotic Hadronic States in the $J/\psi\,p$ Spectrum

André Aimé Atangana Likéné; P. Pradyun Hebbar; Alexis Franck Rothen; Ron Rayan Baatjes; Saralees Nadarajah; Patrice Ele Abiama; Tobias Golling; Germain Hubert Ben-Bolie

arXiv · 2608.25106

Statistical Inference of Scattering Parameters for Exotic Hadronic States in the $J/\psi\,p$ Spectrum

André Aimé Atangana Likéné·P. Pradyun Hebbar·Alexis Franck Rothen·Ron Rayan Baatjes·Saralees Nadarajah·Patrice Ele Abiama·Tobias Golling·Germain Hubert Ben-Bolie

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Abstract

We present a global two-channel Flatt\'e amplitude analysis of the hidden-charm pentaquark candidates observed by the LHCb collaboration in the J/{\psi}p invariant-mass spectrum using the Run 1+2 dataset. We simultaneously fit the three pentaquark amplitudes to the full spectrum, including a polynomial background and complex coupling phases. The scattering length and effective range are extracted from the fitted amplitudes using the effective range expansion, with uncertainties determined through non-parametric bootstrap resampling. While real couplings yield scattering parameters compatible with a molecular interpretation, this conclusion becomes less robust when coupling phases are included. We further find that interference effects are important for the closely spaced Pc(4440)+ and Pc(4457)+ states, demonstrating the limitations of the incoherent-sum approximation.

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André Aimé Atangana Likéné, P. Pradyun Hebbar, Alexis Franck Rothen, Ron Rayan Baatjes, Saralees Nadarajah, Patrice Ele Abiama, Tobias Golling, Germain Hubert Ben-Bolie. 2026-08-25. Statistical Inference of Scattering Parameters for Exotic Hadronic States in the $J/\psi\,p$ Spectrum. https://arxiv.org/abs/2608.25106

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