### 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 β=6/g^{2}=6.0 on a 16^{3}×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 language | English |
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Article number | 074503 |

Pages (from-to) | 745031-7450314 |

Number of pages | 6705284 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 65 |

Issue number | 7 B |

Publication status | Published - 2002 Apr 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*65*(7 B), 745031-7450314. [074503].