English

Baryon and Meson Excited States

High Energy Physics - Phenomenology 2025-06-13 v1 High Energy Physics - Experiment Nuclear Experiment Nuclear Theory

Abstract

The masses of fifteen baryon sets and twenty-four meson sets of three or more equal-quantum excited states are fitted by a simple two-parameter logarithm function, Mn=αLn(n)+βM_n = \alpha Ln(n) + \beta, where nn is the level of radial excitation. The conjecture is made that accurately measured masses using Breat-Wigner PDG2024 data at fixed JPJ^P for baryons and JPCJ^{PC} for mesons of all equal-quantum baryons (including LHCb exotic Pccˉ+P_{c\bar{c}}^+s) and meson (including ssˉs\bar{s}, scˉs\bar{c}, ccˉc\bar{c}, cbˉc\bar{b}, and bbˉb\bar{b}) excited states are related by the logarithm function used here; at least for the mass range of currently known excited states. Thus, a universal mass equation for equal-quantum excited-states sets is presented. The masses of twelve baryon sets and sixteen meson sets, with only two equal-quantum excited states in each set, using Breit-Wigner PDG2024 masses and their uncertainties, are fitted by thr universal mass equation.

Keywords

Cite

@article{arxiv.2506.10646,
  title  = {Baryon and Meson Excited States},
  author = {L. David Roper and Igor Strakovsky},
  journal= {arXiv preprint arXiv:2506.10646},
  year   = {2025}
}

Comments

7 pages, 11 figures, contribution to the HADRON2025 Proceedings