Lattice study on a tetraquark state in the HAL QCD method
Sinya Aoki🇯🇵 · Takafumi Aoki🇯🇵
We investigate a doubly-bottomed tetraquark state with quantum number in -flavor lattice QCD. Using the Non-Relativistic QCD (NRQCD) quark action for quarks, we have extracted the coupled channel potential between and in the HAL QCD method at {fm} on lattices. The potential predicts an existence of a bound below the threshold. At the physical pion mass {MeV} extrapolated from {MeV}, a binding energy with its statistical error is given by MeV from a coupled channel analysis where effects due to virtual states are included through the coupled channel potential, while we obtain MeV only from a potential for a single channel. This difference indicates that the effect from virtual states is sizable to the binding energy of . Adding MeV as empirical systematic error caused by the NRQCD approximation for quarks, our estimate of the binding energy becomes MeV.