Search for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>dibaryon on the lattice

Abstract

We investigate the $H$-dibaryon, an $I({J}^{P})=0({0}^{+})$ with $s=\ensuremath{-}2$, in the chiral and continuum regimes on anisotropic lattices in quenched QCD. Simulations are performed on modest lattices with refined techniques to obtain results with high accuracy over a spatial lattice spacing in the range of ${a}_{s}\ensuremath{\sim}0.19--0.40\text{ }\text{ }\mathrm{fm}$. We present results for the energy difference between the ground state energy of the hexa-quark stranglet and the free two-baryon state from our ensembles. A negative energy shift observed in the chirally extrapolated results leads to the conclusion that the measured hexa-quark state is bound. This is further confirmed by the attractive interaction in the continuum limit with the observed $H$-dibaryon bound by $47\ifmmode\pm\else\textpm\fi{}37\text{ }\text{ }\mathrm{MeV}$.