Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction
Abstract
We make a critical comparison of several versions of instanton-induced interactions present in the literature, all based on ITEP groups extension to three colours and flavours of t Hoofts effective lagrangian, with the predictions of the phenomenological Kobayashi-Kondo-Maskawa (KKM) chiral quark lagrangian. We analyze the effects of all versions of the effective U-A(1) symmetry breaking interactions on light hadron spectra in the non-relativistic constituent quark model. We show that the KKMT force, when used as a residual hyperfine interaction reproduces the correct ordering of pseudoscalar and vector mesons even without explicitly taking chiral symmetry into account. Moreover, the nucleon spectra are also correctly reproduced, only the Roper resonance remains too high, albeit lower than usual, at 1660 MeV. The latters lower than expected mass is not due to a small excitation energy, as in the Glozman-Riska (GR) model, but to a combination of colour, flavour, and spatial wave functio...n properties that enhance the relevant matrix elements. The KKMT interaction explicitly depends on flavour and spin of the quarks, but unlike the GR flavour-spin one it has a firm footing in QCD. In the process we provide several technical advances, in particular we show the first explicit derivation of the three-body Fierz transformation and apply it to the KKM interaction. We also discuss the ambiguities associated with the colour degree of freedom. (c) 2005 Published by Elsevier Inc.
Source:
Annals of Physics, 2006, 321, 2, 355-401
DOI: 10.1016/j.aop.2005.07.002
ISSN: 0003-4916
WoS: 000235262400005
Scopus: 2-s2.0-30944443374
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VinčaTY - JOUR AU - Dmitrasinovic, V AU - Toki, H PY - 2006 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2971 AB - We make a critical comparison of several versions of instanton-induced interactions present in the literature, all based on ITEP groups extension to three colours and flavours of t Hoofts effective lagrangian, with the predictions of the phenomenological Kobayashi-Kondo-Maskawa (KKM) chiral quark lagrangian. We analyze the effects of all versions of the effective U-A(1) symmetry breaking interactions on light hadron spectra in the non-relativistic constituent quark model. We show that the KKMT force, when used as a residual hyperfine interaction reproduces the correct ordering of pseudoscalar and vector mesons even without explicitly taking chiral symmetry into account. Moreover, the nucleon spectra are also correctly reproduced, only the Roper resonance remains too high, albeit lower than usual, at 1660 MeV. The latters lower than expected mass is not due to a small excitation energy, as in the Glozman-Riska (GR) model, but to a combination of colour, flavour, and spatial wave function properties that enhance the relevant matrix elements. The KKMT interaction explicitly depends on flavour and spin of the quarks, but unlike the GR flavour-spin one it has a firm footing in QCD. In the process we provide several technical advances, in particular we show the first explicit derivation of the three-body Fierz transformation and apply it to the KKM interaction. We also discuss the ambiguities associated with the colour degree of freedom. (c) 2005 Published by Elsevier Inc. T2 - Annals of Physics T1 - Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction VL - 321 IS - 2 SP - 355 EP - 401 DO - 10.1016/j.aop.2005.07.002 ER -
@article{ author = "Dmitrasinovic, V and Toki, H", year = "2006", abstract = "We make a critical comparison of several versions of instanton-induced interactions present in the literature, all based on ITEP groups extension to three colours and flavours of t Hoofts effective lagrangian, with the predictions of the phenomenological Kobayashi-Kondo-Maskawa (KKM) chiral quark lagrangian. We analyze the effects of all versions of the effective U-A(1) symmetry breaking interactions on light hadron spectra in the non-relativistic constituent quark model. We show that the KKMT force, when used as a residual hyperfine interaction reproduces the correct ordering of pseudoscalar and vector mesons even without explicitly taking chiral symmetry into account. Moreover, the nucleon spectra are also correctly reproduced, only the Roper resonance remains too high, albeit lower than usual, at 1660 MeV. The latters lower than expected mass is not due to a small excitation energy, as in the Glozman-Riska (GR) model, but to a combination of colour, flavour, and spatial wave function properties that enhance the relevant matrix elements. The KKMT interaction explicitly depends on flavour and spin of the quarks, but unlike the GR flavour-spin one it has a firm footing in QCD. In the process we provide several technical advances, in particular we show the first explicit derivation of the three-body Fierz transformation and apply it to the KKM interaction. We also discuss the ambiguities associated with the colour degree of freedom. (c) 2005 Published by Elsevier Inc.", journal = "Annals of Physics", title = "Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction", volume = "321", number = "2", pages = "355-401", doi = "10.1016/j.aop.2005.07.002" }
Dmitrasinovic, V.,& Toki, H.. (2006). Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction. in Annals of Physics, 321(2), 355-401. https://doi.org/10.1016/j.aop.2005.07.002
Dmitrasinovic V, Toki H. Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction. in Annals of Physics. 2006;321(2):355-401. doi:10.1016/j.aop.2005.07.002 .
Dmitrasinovic, V, Toki, H, "Light hadron spectra in the constituent quark model with the Kobayashi-Kondo-Maskawa-t Hooft effective U-A(1) symmetry breaking interaction" in Annals of Physics, 321, no. 2 (2006):355-401, https://doi.org/10.1016/j.aop.2005.07.002 . .