The work of E.B. and B.L. is supported in part by the EPSRC ExCALIBUR programme ExaTEPP (project EP/X017168/1). The work of E.B. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of E.B., B.L., and M.P. has been supported in part by the STFC Consolidated Grant No. ST/X000648/1. The work of N.F. has been supported by the STFC Consolidated Grant No. ST/X508834/1. A.L. is funded in part by l’Agence Nationale de la Recherche (ANR), under grant ANR-22-CE31-0011. The work of D.K.H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of D.K.H. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). L.D.D. and R.C.H. are supported by the UK Science and Technology Facility Council (STFC) grant ST/P000630/1. The work of L.D.D. was supported by the ExaTEPP project EP/X01696X/1. The work of J.W.L. was supported by IBS under the project code, IBS-R018-D1. The work of H.H. and C.J.D.L. is supported by the Taiwanese MoST grant 109-2112-M-009-006-MY3 and NSTC grant 112-2112-M-A49-021-MY3. The work of C.J.D.L. is also supported by Grants No. 112-2639-M-002-006-ASP and No. 113-2119-M-007-013-. The work of B.L. and M.P. has been supported in part by the STFC Consolidated Grant No. ST/T000813/1. B.L., M.P. and L.D.D. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of D.V. is supported by STFC under Consolidated Grant No. ST/X000680/1. The work of F.Z. is supported by the STFC Grant No. ST/X000648/1. Numerical simulations have been performed on the DiRAC Extreme Scaling service at the University of Edinburgh, and on the DiRAC Data Intensive service at Leicester. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BEIS capital funding via STFC capital grant ST/R00238X/1 and STFC DiRAC Operations grant ST/R001006/1. DiRAC is part of the National e-Infrastructure. Spectral density measurements have been performed by using the LSDensities software package, available here.

This is the data release relative to the paper "Meson spectroscopy from spectral densities in lattice gauge theories" (arXiv:2405.01388). It contains the data that can be analysed through the analysis code in doi:10.5281/zenodo.11048300.