Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(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 [(1/2, 0) circle plus (0, 1/2)] chiral multiplet with one of four available [(1/2, 0) circle plus (0, 1/2)] or [(0, 1/2) circle plus (1/2, 0)] representations can be used to fit the isovector axial coupling g(A)((1)) A 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) circle plus (1/2, 0)] and [(1, 1/2) circle plus (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)
Keywords:
Chiral symmetry / baryon fields / axial couplingsSource:
Modern Physics Letters A, 2010, 25, 4, 233-242
DOI: 10.1142/S0217732310032494
ISSN: 0217-7323
WoS: 000274914600001
Scopus: 2-s2.0-77950583033
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Institution/Community
VinčaTY - JOUR AU - Dmitrasinovic, V. AU - Hosaka, A. AU - Nagata, K. PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3917 AB - 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 [(1/2, 0) circle plus (0, 1/2)] chiral multiplet with one of four available [(1/2, 0) circle plus (0, 1/2)] or [(0, 1/2) circle plus (1/2, 0)] representations can be used to fit the isovector axial coupling g(A)((1)) A 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) circle plus (1/2, 0)] and [(1, 1/2) circle plus (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) T2 - Modern Physics Letters A T1 - Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(1/2,1)] Chiral Multiplet Mixing VL - 25 IS - 4 SP - 233 EP - 242 DO - 10.1142/S0217732310032494 ER -
@article{ author = "Dmitrasinovic, V. and Hosaka, A. and Nagata, K.", year = "2010", 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 [(1/2, 0) circle plus (0, 1/2)] chiral multiplet with one of four available [(1/2, 0) circle plus (0, 1/2)] or [(0, 1/2) circle plus (1/2, 0)] representations can be used to fit the isovector axial coupling g(A)((1)) A 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) circle plus (1/2, 0)] and [(1, 1/2) circle plus (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)", journal = "Modern Physics Letters A", title = "Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(1/2,1)] Chiral Multiplet Mixing", volume = "25", number = "4", pages = "233-242", doi = "10.1142/S0217732310032494" }
Dmitrasinovic, V., Hosaka, A.,& Nagata, K.. (2010). Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(1/2,1)] Chiral Multiplet Mixing. in Modern Physics Letters A, 25(4), 233-242. https://doi.org/10.1142/S0217732310032494
Dmitrasinovic V, Hosaka A, Nagata K. Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(1/2,1)] Chiral Multiplet Mixing. in Modern Physics Letters A. 2010;25(4):233-242. doi:10.1142/S0217732310032494 .
Dmitrasinovic, V., Hosaka, A., Nagata, K., "Nucleon Axial Couplings and [(1/2,0)Circle Plus(0,1/2)]-[(1,1/2)Circle Plus(1/2,1)] Chiral Multiplet Mixing" in Modern Physics Letters A, 25, no. 4 (2010):233-242, https://doi.org/10.1142/S0217732310032494 . .