Lattice study of the nucleon excited states with domain wall fermions

Shoichi Sasaki, Tom Blum, Shigemi Ohta

Research output: Contribution to journalArticlepeer-review

134 Citations (Scopus)


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 β=6/g2=6.0 on a 163×32×16 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.

Original languageEnglish
Article number074503
Pages (from-to)745031-7450314
Number of pages6705284
JournalPhysical Review D
Issue number7 B
Publication statusPublished - 2002 Apr 1


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