Unquenched Radially Excited $P$-wave Charmonia
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917387487412224 |
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| author | Rupp, George |
| author_facet | Rupp, George |
| contents | The ground-state positive-parity charmonia $χ_{c0}(1P)$, $χ_{c1}(1P)$, $h_c(1P)$, and $χ_{c2}(1P)$ are generally well described in static (``quenched'') quark models, in which dynamical effects of actual or virtual strong decay are neglected. In contrast, the five PDG candidates for $P$-wave charmonia in the energy region 3.85-3.95 GeV, probably including the first radial excitations of the above ones, display a totally different and quite disparate mass pattern. Moreover, two scalar states are listed, viz. $χ_{c0}(3860)$ and $χ_{c0}(3915)$, the former one apparently being very broad.
Preliminary results will be presented here for the first radial excitations of the lowest $P$-wave $c\bar{c}$ states, obtained with the Resonance-Spectrum Expansion while including in the calculation all OZI-allowed decay channels of the most relevant charm-meson pairs. Employing a generalised scheme of computing coupling constants for decays based on the ${}^{3\!}P_0$ model ensures that no distortion of the spectra will occur due to the different classes of allowed decay channels for the various positive-parity charmonia. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_04991 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unquenched Radially Excited $P$-wave Charmonia Rupp, George High Energy Physics - Phenomenology High Energy Physics - Experiment The ground-state positive-parity charmonia $χ_{c0}(1P)$, $χ_{c1}(1P)$, $h_c(1P)$, and $χ_{c2}(1P)$ are generally well described in static (``quenched'') quark models, in which dynamical effects of actual or virtual strong decay are neglected. In contrast, the five PDG candidates for $P$-wave charmonia in the energy region 3.85-3.95 GeV, probably including the first radial excitations of the above ones, display a totally different and quite disparate mass pattern. Moreover, two scalar states are listed, viz. $χ_{c0}(3860)$ and $χ_{c0}(3915)$, the former one apparently being very broad. Preliminary results will be presented here for the first radial excitations of the lowest $P$-wave $c\bar{c}$ states, obtained with the Resonance-Spectrum Expansion while including in the calculation all OZI-allowed decay channels of the most relevant charm-meson pairs. Employing a generalised scheme of computing coupling constants for decays based on the ${}^{3\!}P_0$ model ensures that no distortion of the spectra will occur due to the different classes of allowed decay channels for the various positive-parity charmonia. |
| title | Unquenched Radially Excited $P$-wave Charmonia |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2604.04991 |