Scalar and tensor charmonium resonances in coupled-channel scattering from QCD
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| Format: | Preprint |
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2023
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| _version_ | 1866916347721547776 |
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| author | Wilson, David J. Thomas, Christopher E. Dudek, Jozef J. Edwards, Robert G. |
| author_facet | Wilson, David J. Thomas, Christopher E. Dudek, Jozef J. Edwards, Robert G. |
| contents | We determine $J^{PC}=0^{++}$ and $2^{++}$ hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at $m_π\approx 391$ MeV, more than 200 finite-volume energy levels are computed and these are used in extensions of the Lüscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single $χ_{c0}$ and a single $χ_{c2}$ resonance. Both are found as pole singularities on the closest unphysical Riemann sheet, just below 4000 MeV with widths around 70 MeV. The largest couplings are to kinematically-closed $D^* \bar{D}^*$ channels in $S$-wave, and couplings to several decay channels consisting of pairs of open-charm mesons are found to be large and significant in both cases. Above the ground state $χ_{c0}$, no other scalar bound-states or near-$D\bar{D}$ threshold resonances are found, in contrast to several theoretical and experimental studies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_14070 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scalar and tensor charmonium resonances in coupled-channel scattering from QCD Wilson, David J. Thomas, Christopher E. Dudek, Jozef J. Edwards, Robert G. High Energy Physics - Lattice High Energy Physics - Phenomenology We determine $J^{PC}=0^{++}$ and $2^{++}$ hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at $m_π\approx 391$ MeV, more than 200 finite-volume energy levels are computed and these are used in extensions of the Lüscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single $χ_{c0}$ and a single $χ_{c2}$ resonance. Both are found as pole singularities on the closest unphysical Riemann sheet, just below 4000 MeV with widths around 70 MeV. The largest couplings are to kinematically-closed $D^* \bar{D}^*$ channels in $S$-wave, and couplings to several decay channels consisting of pairs of open-charm mesons are found to be large and significant in both cases. Above the ground state $χ_{c0}$, no other scalar bound-states or near-$D\bar{D}$ threshold resonances are found, in contrast to several theoretical and experimental studies. |
| title | Scalar and tensor charmonium resonances in coupled-channel scattering from QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2309.14070 |