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Universal Mass Equation for Equal-Quantum Excited-States Sets II

High Energy Physics - Phenomenology 2025-06-10 v1 High Energy Physics - Experiment Nuclear Experiment Nuclear Theory

Abstract

We extend our recent study of the universal mass equation for equal-quantum excited-states sets reported by Roper and Strakovsky~\cite{Roper:2024ovj}. 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 at fixed JPJ^P for baryons and JPCJ^{PC} for mesons, are fitted by a simple one-parameter logarithmic function, Mn=αLn(n)+M1M_n = \alpha Ln(n) + M_1, where nn is the level of radial excitation. Two accurate masses that start a set are used to calculate four higher masses in the set accurately. It is noted that α\alpha values for bbˉb\bar{b} equal-quantum excited-states sets accurately lie on a straight line, whose line parameters can be used to calculate α\alpha and predict higher mass states for bbˉb\bar{b} sets that have only one known member.

Cite

@article{arxiv.2506.06496,
  title  = {Universal Mass Equation for Equal-Quantum Excited-States Sets II},
  author = {L. David Roper and Igor Strakovsky},
  journal= {arXiv preprint arXiv:2506.06496},
  year   = {2025}
}

Comments

40 pages, 42 figures, 5 tables

R2 v1 2026-07-01T03:04:23.405Z