$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911606483451904 |
|---|---|
| author | Lang, Nicolas Wilson, David J. |
| author_facet | Lang, Nicolas Wilson, David J. |
| contents | Isospin-1/2 charmed axial-vector $D^*π-D^*η-D^*_s\bar{K}$ scattering amplitudes are computed, along with interactions in several other $I=1/2$ $J^P$ channels. Using lattice QCD, we work at a light-quark mass corresponding to $m_π\approx 391$ MeV, where the lowest three-hadron threshold ($Dππ$) lies high enough to enable a rigorous treatment of this system considering only two-hadron scattering channels. At this light-quark mass, an axial-vector $D_1$ bound state is observed just below $D^*π$ threshold, that is strongly coupled to $D^*π$ in a relative $S$-wave and influences a wide energy region up to the $D^*η$ threshold. An axial-vector $D_1^\prime$ resonance is observed in the elastic $D^*π$ energy-region, which is coupled more strongly to $D$-wave $D^*π$. A single narrow tensor state is seen in $J^P=2^+$ coupled to both $Dπ$ and $D^*π$. In the region where $D^*η$ and $D^*_s\bar{K}$ are kinematically open, the available energy levels indicate significant $S$-wave interactions. Upon searching this region for poles, several possibilities exist with large uncertainties. One additional state consistently arises, predominantly coupled to the $S$-wave $D^*π-D^*η-D^*_s\bar{K}$ amplitudes around the upper energy limit of this analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD Lang, Nicolas Wilson, David J. High Energy Physics - Lattice High Energy Physics - Phenomenology Isospin-1/2 charmed axial-vector $D^*π-D^*η-D^*_s\bar{K}$ scattering amplitudes are computed, along with interactions in several other $I=1/2$ $J^P$ channels. Using lattice QCD, we work at a light-quark mass corresponding to $m_π\approx 391$ MeV, where the lowest three-hadron threshold ($Dππ$) lies high enough to enable a rigorous treatment of this system considering only two-hadron scattering channels. At this light-quark mass, an axial-vector $D_1$ bound state is observed just below $D^*π$ threshold, that is strongly coupled to $D^*π$ in a relative $S$-wave and influences a wide energy region up to the $D^*η$ threshold. An axial-vector $D_1^\prime$ resonance is observed in the elastic $D^*π$ energy-region, which is coupled more strongly to $D$-wave $D^*π$. A single narrow tensor state is seen in $J^P=2^+$ coupled to both $Dπ$ and $D^*π$. In the region where $D^*η$ and $D^*_s\bar{K}$ are kinematically open, the available energy levels indicate significant $S$-wave interactions. Upon searching this region for poles, several possibilities exist with large uncertainties. One additional state consistently arises, predominantly coupled to the $S$-wave $D^*π-D^*η-D^*_s\bar{K}$ amplitudes around the upper energy limit of this analysis. |
| title | $D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.04232 |