English

Two-Baryon Correlation Functions in 2-flavour QCD

High Energy Physics - Lattice 2013-11-18 v1 Nuclear Theory

Abstract

We present first results for two-baryon correlation functions, computed using Nf=2N_f=2 flavours of O(aa) 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 (CXY(t)CXY(0)\big(\langle C_{XY}(t)C_{XY}(0) \rangle, where XY=ΛΛ,ΣΣ,NΞ,)XY=\Lambda\Lambda, \Sigma\Sigma, N\Xi, \cdots\big), 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 (nn, Λ\Lambda, Ξ\Xi, \cdots). This study is performed on an isotropic lattice with mπ=460m_\pi = 460 MeV, mπL=4.7m_\pi L = 4.7 and a=0.063a = 0.063 fm.

Keywords

Cite

@article{arxiv.1311.3933,
  title  = {Two-Baryon Correlation Functions in 2-flavour QCD},
  author = {Anthony Francis and Chuan Miao and Thomas D. Rae and Hartmut Wittig},
  journal= {arXiv preprint arXiv:1311.3933},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-22T02:08:29.759Z