Universal Mass Equation for Equal-Quantum Excited-States Sets II
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 for baryons and for mesons, are fitted by a simple one-parameter logarithmic function, , where 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 values for equal-quantum excited-states sets accurately lie on a straight line, whose line parameters can be used to calculate and predict higher mass states for 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