Baryon Masses in Lattice QCD with Exact Chiral Symmetry

Abstract

We investigate the baryon mass spectrum in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ β= 6.1 $ on the $ 20^3 \times 40 $ lattice, we compute (point-to-point) quark propagators for 30 quark masses in the range $ 67 {MeV} \le m_q \le 1790 {MeV} $. For baryons only composed of strange and charm quarks, their masses are extracted directly from the time correlation functions, while for those containing $ u (d) $ light quarks, their masses are obtained by chiral extrapolation to $ m_π= 135 $ MeV. Our results of baryon masses are in good agreement with experimental values, except for the negative parity states of $ Λ$ and $ Λ_c $. Further, our results of charmed (including doubly-charmed and triply-charmed) baryons can serve as predictions of QCD.