Two-Baryon Correlation Functions in 2-flavour QCD

Abstract

We present first results for two-baryon correlation functions, computed using $N_f=2$ flavours of O($a$) improved Wilson quarks, with the aim of explaining potential dibaryon bound states, specifically the H-dibaryon. In particular, we use a GEVP to isolate the groundstate using two-baryon (hyperon-hyperon) correlation functions $(⟨C_{XY}(t)C_{XY}(0)⟩$, where $XY=\Lambda \Lambda ,\Sigma \Sigma ,N\Xi ,\cdots )$, each of which has an overlap with the H-dibaryon. We employ a `blocking' algorithm to handle the large number of contractions, which may easily be extended to N-baryon correlation functions. We also comment on its application to the analysis of single baryon masses ($n$, $\Lambda$, $\Xi$, $\cdots$). This study is performed on an isotropic lattice with $m_{\pi }=460$ MeV, $m_{\pi }L=4.7$ and $a=0.063$ fm.

Comments: 7 pages, 10 figures, presented at "The 31st International Symposium on Lattice Field Theory" (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany