Axial charges of N(1535) and N(1650) in two-flavor lattice QCD

Toru T. Takahashi; Teiji Kunihiro

doi:10.1088/1674-1137/33/12/029

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2024年10月30日

Chinese Physics C> 2009, Vol. 33> Issue(12) : 1233-1237 DOI: 10.1088/1674-1137/33/12/029

Axial charges of N(1535) and N(1650) in two-flavor lattice QCD

Toru T. Takahashi ^, ,
Teiji Kunihiro

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Abstract：
We show the lattice QCD results on the axial charge g_A^N*N* of negative parity nucleon resonances, N^*(1535) and N^*(1650), which are key clues to the chiral structure in baryon sector. The measurements are performed with up and down dynamical quarks employing the renormalization-group improved gauge action at β=1.95 and the O(a) improved clover quark action with the hopping parameters, κ=0.1375, 0.1390 and 0.1400. In order to properly separate signals of N^*(1535) and N^*(1650), we construct 2×2 correlation matrices and diagonalize them. Wraparound contributions in the correlator, which can be another source of signal contaminations, are eliminated by imposing the Dirichlet boundary condition in the temporal direction. We find that the axial charge of N^*(1535) takes small values as g_A^N*N*~O(0.1), whereas that of N^*(1650) is about 0.5, which is found independent of quark masses and consistent with the predictions by the naive nonrelativistic quark model.

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Toru T. Takahashi and Teiji Kunihiro. Axial charges of N(1535) and N(1650) in two-flavor lattice QCD[J]. Chinese Physics C, 2009, 33(12): 1233-1237. doi: 10.1088/1674-1137/33/12/029

Toru T. Takahashi and Teiji Kunihiro. Axial charges of N(1535) and N(1650) in two-flavor lattice QCD[J]. Chinese Physics C, 2009, 33(12): 1233-1237. doi: 10.1088/1674-1137/33/12/029 shu

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Received: 2009-08-07
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Axial charges of N(1535) and N(1650) in two-flavor lattice QCD

Toru T. Takahashi ^,
Teiji Kunihiro

Corresponding author: Toru T. Takahashi,

Received Date: 2009-08-07
Accepted Date: 1900-01-01
Available Online: 2009-12-05

Abstract:

We show the lattice QCD results on the axial charge g_A^N*N* of negative parity nucleon resonances, N^*(1535) and N^*(1650), which are key clues to the chiral structure in baryon sector. The measurements are performed with up and down dynamical quarks employing the renormalization-group improved gauge action at β=1.95 and the O(a) improved clover quark action with the hopping parameters, κ=0.1375, 0.1390 and 0.1400. In order to properly separate signals of N^*(1535) and N^*(1650), we construct 2×2 correlation matrices and diagonalize them. Wraparound contributions in the correlator, which can be another source of signal contaminations, are eliminated by imposing the Dirichlet boundary condition in the temporal direction. We find that the axial charge of N^*(1535) takes small values as g_A^N*N*~O(0.1), whereas that of N^*(1650) is about 0.5, which is found independent of quark masses and consistent with the predictions by the naive nonrelativistic quark model.