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arXiv 0912.2372hep-ph
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核子轴向耦合与[(1/2,0)+(0,1/2)]-[(1,1/2)+(1/2,1)]手征多重态混合

Nucleon axial couplings and [(1/2,0) + (0,1/2)]-[(1,1/2) + (1/2,1)] chiral multiplet mixing

V. Dmitrasinovic, A. Hosaka, K. Nagata

摘要:

QCD中的三夸克核子内插场具有SU_L(2)x SU_R(2)和U_A(1)手征变换性质。用[(1,1/2)+(1/2,1)]手征多重态与[(1/2,0)+(0,1/2)]或[(0,1/2)+(1/2,0)]表示的混合,可以拟合等矢轴向耦合gA(1),从而预测核子的等矢轴向耦合gA(0),与实验符合较好.我们还利用手征介子-重子相互作用计算了J=1/2重子的[(0,1/2)+(1/2,0)]和[(1,1/2)+(1/2,1)]手征多重态的质量和1 π相互作用项,并将其中两个对角化质量与最低核子共振相拟合,从而预测了2030 MeV处的J=1/2第三共振.离(一星PDG)状态Delta(2150)不远。

英文摘要:

Three-quark nucleon interpolating fields in QCD have well-defined SU_L(2) x SU_R(2) and U_A(1) chiral transformation properties. Mixing of the [(1,1/2) + (1/2,1)] chiral multiplet with one of [(1/2,0) + (0,1/2)] or [(0,1/2) + (1/2,0)] representation can be used to fit the isovector axial coupling g_A(1) and thus predict the isoscalar axial coupling g_A(0) of the nucleon, in reasonable agreement with experiment. We also use a chiral meson-baryon interaction to calculate the masses and one-pion-interaction terms of J=1/2 baryons belonging to the [(0,1/2) + (1/2,0)] and [(1,1/2) + (1/2,1)] chiral multiplets and fit two of the diagonalized masses to the lowest-lying nucleon resonances thus predicting the third J=1/2 resonance at 2030 MeV, not far from the (one-star PDG) state Delta(2150).

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