Coupled-channel ΛcK+−pDs interaction in the flavor SU(3) limit of lattice QCD

Abstract

We study S-wave interactions in the I(Jp)=1/2(1/2−) ΛcK+−pDs system on the basis of the coupled-channel Hadrons to Atomic nuclei from Lattice Quantum ChromoDynamics method. The potentials which are faithful to QCD S-matrix below the pD* threshold are extracted from Nambu-Bethe-Salpeter wave functions on the lattice in flavor SU(3) limit. For the simulation, we employ 3-flavor full QCD gauge configurations on a (1.93 fm)3 volume at mπ≃872 MeV. We present our results of the S-wave coupled-channel potentials for the ΛcK+−pDs system in the 1/2(1/2−) state as well as scattering observables obtained from the extracted potential matrix. We observe that the coupling between ΛcK+ and pDs channels is weak. The phase shifts and scattering length obtained from the extracted potential matrix show that the ΛcK+ interaction is attractive at low energy and stronger than the pDs interaction though no bound state at mπ≥872 MeV. Published by the American Physical Society 2024