Open Access

Universal parameters of the $Λ (1380)$ , the $Λ (1405)$ , and their isospin partners from a combined analysis of lattice QCD and experimental results

Ferenc Pittler ^1,*, Maxim Mai ^2,3,†, Ulf-G. Meißner ^4,5,6,‡, Ryan F. Ferguson ⁷, Peter Hurck ⁷, David G. Ireland ⁷, and Bryan McKinnon ⁷

¹Computation-Based Science and Technology Research Center, The Cyprus Institute, Nicosia, Cyprus
²Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
³Institute for Nuclear Studies and Department of Physics, The George Washington University, Washington, DC 20052, USA
⁴Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
⁵Institute for Advanced Simulation (IAS-4), Forschungszentrum Jülich, D-52425 Jülich, Germany
⁶Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University, Beijing 100191, China
⁷School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom

^*Contact author: f.pittler@cyi.ac.cy
^†Contact author: maxim.mai@faculty.unibe.ch
^‡Contact author: meissner@hiskp.uni-bonn.de

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Phys. Rev. D 112, 074037 – Published 28 October, 2025

DOI: https://doi.org/10.1103/ls4c-6f2y

Abstract

We perform a global analysis of lattice and experimental data on negative-strangeness meson-baryon scattering using a large set of variations of the theoretical framework based on the chiral unitary approach. For the former, the Lüscher formalism is utilized taking into account all pertinent coupled-channel effects. Through this, systematic uncertainties related to data scarcity, potential ambiguities, and possible framework dependence are quantified for the first time. The implementation of information criteria and other statistical tools is discussed. As a final result we provide pole positions for isoscalar resonances at the physical and lattice points, including statistical and systematic uncertainties. Predictions for the isovector states are also provided, showing large uncertainties.

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https://github.com/maxim-mai/Supplemental_Material_arXiv2507.14283.

Phys. Rev. D 112, 074037– Published 28 October, 2025

Vol. 112, Iss. 7 — 1 October 2025

Received 13 August 2025
Accepted 30 September 2025

DOI: https://doi.org/10.1103/ls4c-6f2y

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Universal parameters of the $Λ (1380)$ , the $Λ (1405)$ , and their isospin partners from a combined analysis of lattice QCD and experimental results

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Universal parameters of the Λ(1380), the Λ(1405), and their isospin partners from a combined analysis of lattice QCD and experimental results

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Universal parameters of the $Λ (1380)$ , the $Λ (1405)$ , and their isospin partners from a combined analysis of lattice QCD and experimental results