Universal Mass Equation for Equal-Quantum Excited-States Sets I
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915244514738176 |
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| author | Roper, L. David Strakovsky, Igor |
| author_facet | Roper, L. David Strakovsky, Igor |
| contents | The masses of fifteen baryon sets and twenty-four meson sets of three or more equal-quantum excited states, using Breit-Wigner PDG masses and their uncertainties at fixed $J^P$ for baryons and $J^{PC}$ for mesons, are fitted by a simple two-parameter logarithmic function, $M_n = αLn(n) + β$, where $n$ is the level of radial excitation. The conjecture is made that accurately measured masses of all equal-quantum baryons (including LHCb exotic $P_{c\bar{c}}^+$s) and meson excited states (including $s\bar{s}$, $s\bar{c}$, $c\bar{c}$, $c\bar{b}$, and $b\bar{b}$ states) are related by the logarithmic function used here; at least for the mass range of currently known excited states. The baryon ``star'' rating case is evaluated. The Cornell potential is an example of how a logarithmic behavior can be explained by an appropriate potential. Thus, a ``universal mass equation'' (UME) for equal-quantum excited-state sets is presented. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_11196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal Mass Equation for Equal-Quantum Excited-States Sets I Roper, L. David Strakovsky, Igor High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory The masses of fifteen baryon sets and twenty-four meson sets of three or more equal-quantum excited states, using Breit-Wigner PDG masses and their uncertainties at fixed $J^P$ for baryons and $J^{PC}$ for mesons, are fitted by a simple two-parameter logarithmic function, $M_n = αLn(n) + β$, where $n$ is the level of radial excitation. The conjecture is made that accurately measured masses of all equal-quantum baryons (including LHCb exotic $P_{c\bar{c}}^+$s) and meson excited states (including $s\bar{s}$, $s\bar{c}$, $c\bar{c}$, $c\bar{b}$, and $b\bar{b}$ states) are related by the logarithmic function used here; at least for the mass range of currently known excited states. The baryon ``star'' rating case is evaluated. The Cornell potential is an example of how a logarithmic behavior can be explained by an appropriate potential. Thus, a ``universal mass equation'' (UME) for equal-quantum excited-state sets is presented. |
| title | Universal Mass Equation for Equal-Quantum Excited-States Sets I |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2410.11196 |