
Lattice QCD calculations of the 2s radial excitation of the nucleon place the state at an energy of approximately 1.9 GeV, raising the possibility that it is associated with the N1/2+(1880) and N1/2+(1710) resonances through mixing with two-particle meson-baryon states. The discovery of the N1/2+(1880) resonance in pion photoproduction but not in πN scattering and the small width of the N1/2+(1710) resonance suggest that a state associated with these resonances would be insensitive to the manner in which pions are permitted to dress it. To explore this possibility, we examine the spectrum of nucleon radial excitations in both 2+1 flavour QCD and in simulations where the coupling to meson-baryon states is significantly modified through quenching. We find the energy of the 2s radial excitation to be insensitive to this modification for quark masses close to the physical point. This invariance provides further evidence that the 2s radial excitation of the nucleon is associated with the N1/2+(1880) and N1/2+(1710) resonances. The ensembles are available for all uses. If they are used, this Zenodo page and the related paper Physical interpretation of the 2s excitation of the nucleon must be appropriately cited, e.g. with bibtex @article{Stokes:2024pir, author = "Stokes, Finn M. and Kamleh, Waseem and Leinweber, Derek B. and Owen, Benjamin J.", title = "{Physical interpretation of the 2s excitation of the nucleon}", eprint = "2412.08968", archivePrefix = "arXiv", primaryClass = "hep-lat", reportNumber = "ADP-24-06/T1245", year = "2024"}@dataset{zenodo.14504933, author = "Stokes, Finn M. and Kamleh, Waseem and Leinweber, Derek B. and Owen, Benjamin J.", title = "{Dataset for "Physical interpretation of the 2s excitation of the nucleon" (1.0.0)}", year = "2024", doi = "10.5281/zenodo.14504933", publisher = "Zenodo"}
We thank the PACS-CS Collaboration for making their configurations available via the International Lattice Data Grid (ILDG). This research was supported with supercomputing resources provided by the Phoenix HPC service at the University of Adelaide. This research was undertaken with the assistance of resources from the National Computational Infrastructure (NCI), provided through the National Computational Merit Allocation Scheme, and supported by the Australian Government through Grant No. LE190100021 via the University of Adelaide Partner Share. This research was supported by the Australian Research Council through Grants No. DP150103164, DP190102215 and DP210103706 (DBL). WK was supported by the Pawsey Supercomputing Centre through the Pawsey Centre for Extreme Scale Readiness (PaCER) program. FS is supported by a Ramsay Fellowship from the University of Adelaide.
lattice QCD, radial excitations, hadron spectroscopy, lattice field theory, variational method
lattice QCD, radial excitations, hadron spectroscopy, lattice field theory, variational method
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