Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-02-23
Phys.Rev. D65 (2002) 074503
Physics
High Energy Physics
High Energy Physics - Lattice
46 pages, REVTeX, 11 figures included, revised version accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.074503
We present results of our numerical calculation of the mass spectrum for isospin one-half and spin one-half non-strange 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 non-zero lattice spacing. We make a systematic investigation of the negative-parity $N^*$ spectrum by using two distinct interpolating operators at $\beta=6/g^2=6.0$ on a $16^3 \times 32 \times 16$ 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 found that it is heavier than the negative-parity excited state for the quark masses studied.
Blum Tom
Ohta Shigemi
Sasaki Shoichi
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