H dibaryon in the QCD sum rule

Abstract

The QCD sum rule is applied to the H dibaryon and is compared to the flavor non-singlet di-nucleon. We find that the H dibaryon is almost degenerate to the di-nucleon in the $SU(3)_{flavor}$ limit and therefore is not deeply bound as far as th\ e threshold parameter is adjusted not to have a di-nucleon bound state. After introducing the $SU(3)_{f}$ breaking effects, the H dibaryon is found to be bound by $40 MeV$ below the $\Lambda \Lambda$ threshold.