Universal Mass Equation for Equal-Quantum Excited-States Sets II
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arXiv
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| Format: | Preprint |
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2025
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| author | Roper, L. David Strakovsky, Igor |
| author_facet | Roper, L. David Strakovsky, Igor |
| contents | 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 $J^P$ for baryons and $J^{PC}$ for mesons, are fitted by a simple one-parameter logarithmic function, $M_n = αLn(n) + M_1$, where $n$ 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 $α$ values for $b\bar{b}$ equal-quantum excited-states sets accurately lie on a straight line, whose line parameters can be used to calculate $α$ and predict higher mass states for $b\bar{b}$ sets that have only one known member. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_06496 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Mass Equation for Equal-Quantum Excited-States Sets II Roper, L. David Strakovsky, Igor High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory 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 $J^P$ for baryons and $J^{PC}$ for mesons, are fitted by a simple one-parameter logarithmic function, $M_n = αLn(n) + M_1$, where $n$ 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 $α$ values for $b\bar{b}$ equal-quantum excited-states sets accurately lie on a straight line, whose line parameters can be used to calculate $α$ and predict higher mass states for $b\bar{b}$ sets that have only one known member. |
| title | Universal Mass Equation for Equal-Quantum Excited-States Sets II |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2506.06496 |