Search for the H-Dibaryon in two flavor Lattice QCD

Abstract

We present preliminary results from a lattice QCD calculation of the H-dibaryon using two flavors of $\mathcal{O}(a)$ improved Wilson fermions. We employ local six-quark interpolating operators at the source with a combination of local six-quark and two-baryon operators at the sink with the appropriate quantum numbers of the H-dibaryon and its coupling to the two-baryon channels. We find that the two-baryon operators provide an improved overlap onto the ground state in comparison to the local six-quark operators. We also apply Lüscher's finite volume formalism to obtain information on the nature of the infinite-volume interaction of two particles. Further, the momentum projection to three moving frames enables the isolation of the pole in the infinite-volume scattering amplitude. Preliminary results at pion masses of 450 MeV and 1 GeV clearly indicate the presence of states below the $\Lambda \Lambda$ threshold while a finite-volume analysis fails to conclusively show the existence of an infinite-volume bound state.

Comments: 7 pages, 6 figures. Proceedings of the 8th International Workshop on Chiral Dynamics, 29 June 2015 - 03 July 2015, Pisa Italy and 33rd International Symposium on Lattice Field Theory, 14-18 July 2015, Kobe Japan