First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
Three-body Unitarity in the Finite Volume
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abstract
The physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume. A method is proposed to perform such an extrapolation for three interacting particles at energies above threshold. For this, a recently formulated relativistic $3\to 3$ amplitude based on the isobar formulation is adapted to the finite volume. The guiding principle is two- and three-body unitarity that imposes the imaginary parts of the amplitude in the infinite volume. In turn, these imaginary parts dictate the leading power-law finite-volume effects. It is demonstrated that finite-volume poles arising from the singular interaction, from the external two-body sub-amplitudes, and from the disconnected topology cancel exactly leaving only the genuine three-body eigenvalues. The corresponding quantization condition is derived for the case of three identical scalar-isoscalar particles and its numerical implementation is demonstrated.
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Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.
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Exotic $T^*_{csJ}$ and $T^*_{c\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD
First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
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Effects of Final State Interactions on Landau Singularities
Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.