Speaker
Description
In this work, we investigate the possible existence of a strange partner of the $T_{cc}$ tetraquark with flavor content $cc\bar{u}\bar{s}$ using lattice QCD. We determine the coupled-channel $DD_s^* - D^*D_s$ scattering amplitudes in the axialvector ($J^P = 1^+$) channel, as well as the elastic $DD_s$ scattering amplitude in the scalar ($J^P = 0^+$) channel. The calculations are performed on two ensembles from the CLS consortium with $m_{\pi} \approx 280\,\text{MeV}$, lattice spacing $a \approx 0.09\,\text{fm}$, and spatial extents $L/a = 24$ and $32$. The two-meson spectrum in the finite volume is determined for the $DD_s$, $DD_s^*$, $D^*D_s$, and $D^*D_s^*$ channels. This is achieved through a variational analysis of two-point correlation matrices constructed using a large basis of bilocal two-meson operators within the distillation framework. To extract the infinite-volume amplitudes, we employ Lüscher’s formalism as well as a Lippmann-Schwinger equation based quantization condition in a plane-wave basis. Despite the presence of nontrivial interactions in both channels, no non-spurious pole singularities are found in the S-wave amplitudes within the constrained energy region.
| Parallel Session (for talks only) | Hadronic and nuclear spectrum and interactions |
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