Lattice study of the nucleon excited states with domain wall fermions

Abstract

We present results of our numerical calculation of the mass spectrum for isospin one-half and spin one-half nonstrange baryons, i.e., the ground and excited states of the nucleon, in quenched lattice QCD. We use a new lattice discretization scheme for fermions, domain wall fermions, which possess almost exact chiral symmetry at nonzero lattice spacing. We make a systematic investigation of the negative-parity ${N}^{*}$ spectrum by using two distinct interpolating operators at $\ensuremath{\beta}{=6/g}^{2}=6.0$ on a ${16}^{3}\ifmmode\times\else\texttimes\fi{}32\ifmmode\times\else\texttimes\fi{}16$ lattice. The mass estimates extracted from the two operators are consistent with each other. The observed large mass splitting between this state, ${N}^{*}(1535),$ and the positive-parity ground state, the nucleon $N(939),$ is well reproduced by our calculations. We have also calculated the mass of the first positive-parity excited state and find that it is heavier than the negative-parity excited state for the quark masses studied.