TY - JOUR

T1 - Lattice study of the nucleon excited states with domain wall fermions

AU - Sasaki, Shoichi

AU - Blum, Tom

AU - Ohta, Shigemi

PY - 2002/4/1

Y1 - 2002/4/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.65.074503

DO - 10.1103/PhysRevD.65.074503

M3 - Article

AN - SCOPUS:0012600226

SN - 0556-2821

VL - 65

SP - 745031

EP - 7450314

JO - Physical Review D

JF - Physical Review D

IS - 7 B

M1 - 074503

ER -