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

Abstract

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).

To appear in Modern Physics Letters A

References in corpus (4)

• Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry
• F and D Values with Explicit Flavor Symmetry Breaking and Δs Contents of Nucleons
• Chiral Properties of Baryon Interpolating Fields
• $\pi N$ and $\pi \pi N$ Couplings of the $\Delta (1232)$ and its Chiral Partners

Cited by in corpus (11)

• The pion-nucleon sigma term from lattice QCD
• Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model
• Baryon Fields with U_L(3) \times U_R(3) Chiral Symmetry: Axial Currents of Nucleons and Hyperons
• Casimir effect for nucleon parity doublets
• Baryon Fields with U_L(3) times U_R(3) Chiral Symmetry III: Interactions with Chiral (3,3_bar)+(3_bar,3) Spinless Mesons
• Chiral partner structure of light nucleons in an extended parity doublet model
• Baryons with U_L(3)*U_R(3) Chiral Symmetry IV: Interactions with Chiral (8,1)+(1,8) Vector and Axial-vector Mesons and Anomalous Magnetic Moments
• Baryon fields with $U_L(3)\times U_R(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\Sigma$ Terms
• Bi-local baryon interpolating fields with two flavours
• Bi-Local Baryon Interpolating Fields with Three Flavours
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment