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Masses of Ground- and Excited-State Hadrons

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Abstract

We present the first Dyson–Schwinger equation calculation of the light hadron spectrum that simultaneously correlates the masses of meson and baryon ground- and excited-states within a single framework. At the core of our analysis is a symmetry-preserving treatment of a vector–vector contact interaction. In comparison with relevant quantities the root-mean-square-relative-error/degree-of freedom is 13%. Notable amongst our results is agreement between the computed baryon masses and the bare masses employed in modern dynamical coupled-channels models of pion-nucleon reactions. Our analysis provides insight into numerous aspects of baryon structure; e.g., relationships between the nucleon and Δ masses and those of the dressed-quark and diquark correlations they contain.

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Authors and Affiliations

  1. Physics Division, Argonne National Laboratory, Argonne, IL, 60439, USA

    Hannes L. L. Roberts, Lei Chang & Craig D. Roberts

  2. Department of Physics, University of Washington, Seattle, WA, 98195, USA

    Ian C. Cloët

  3. Physics Department, University of California, Berkeley, CA, 94720, USA

    Hannes L. L. Roberts

  4. Department of Physics, Center for High Energy Physics and the State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, China

    Lei Chang & Craig D. Roberts

  5. Institut für Kernphysik, Forschungszentrum Jülich, 52425, Jülich, Germany

    Craig D. Roberts

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  1. Hannes L. L. Roberts
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  2. Lei Chang
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  3. Ian C. Cloët
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  4. Craig D. Roberts
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Correspondence to Craig D. Roberts.

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Roberts, H.L.L., Chang, L., Cloët, I.C. et al. Masses of Ground- and Excited-State Hadrons. Few-Body Syst 51, 1–25 (2011). https://doi.org/10.1007/s00601-011-0225-x

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