Abstract
Charmed tetraquarks \$T\_cc=(ccud)\$ and
\$T\_cs=(csud)\$ are studied through the S-wave meson-meson
interactions, \$D\$-\$D\$, \$K\$-\$D\$, \$D\$-\$D^*\$ and \$K\$-\$D^*\$, on the
basis of the (2+1)-flavor lattice QCD simulations with the pion mass \$m\_\pi
\$410, 570 and 700 MeV. For the charm quark, the relativistic heavy quark
action is employed to treat its dynamics on the lattice. Using the HAL QCD
method, we extract the S-wave potentials in lattice QCD simulations, from which
the meson-meson scattering phase shifts are calculated. The phase shifts in the
isospin triplet (\$I\$=1) channels indicate repulsive interactions, while those
in the \$I=0\$ channels suggest attraction, growing as \$m\_\pi\$ decreases. This
is particularly prominent in the \$T\_cc (J^P=1^+,I=0)\$ channel, though neither
bound state nor resonance are found in the range \$m\_\pi =410-700\$ MeV. We
make a qualitative comparison of our results with the phenomenological diquark
picture.
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