Strange partner of $T_{cc}^{+}$ from lattice QCD in $D^{(\ast )}{D}_s^{(\ast )}$ scattering

Abstract

We report on our lattice QCD study of coupled $D{D}_s^{\ast }-D^{\ast }{D}_s$ scattering in the $J^P=1^{+}$ channel and elastic $D{D}_s$ scattering in the $J^P=0^{+}$ channel, aimed at investigating the possible existence of $cc\bar{u}\bar{s}$ tetraquarks near threshold. The calculation uses CLS ensembles with $m_{\pi }\approx 280$ MeV, lattice spacing $a\approx 0.09$ fm, and spatial extents $L/a=24,32$. Finite-volume spectra are obtained from a variational analysis of two-point correlation matrices constructed from two-meson operator bases using distillation. The $l=0$ partial-wave scattering amplitudes are determined from the lattice spectra in multiple moving frames using Lüscher's formalism as well as a finite-volume implementation of the Lippmann-Schwinger equation. In both channels we observe small but nonzero shifts relative to the noninteracting spectrum, indicating weak meson interactions. The extracted physically plausible $S$-wave amplitudes show no pole structures near threshold.

Comments: 10 pages, 5 figures, Contribution to the 42nd International Symposium on Lattice Field Theory (LATTICE2025), 2-8 Nov. 2025, Mumbai, India