Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems

doi:https://doi.org/10.1103/PhysRevD.55.4083

Title: Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems

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Abstract

We study the {eta}{r_arrow}{gamma}{gamma}, {eta}{r_arrow}{gamma}{mu}{sup {minus}}{mu}{sup +}, and {eta}{r_arrow}{pi}{sup 0}{gamma}{gamma} decays using an extended three-flavor Nambu{endash}Jona-Lasinio model that includes the `t Hooft instanton induced interaction. We find that the {eta}-meson mass, the {eta}{r_arrow}{gamma}{gamma}, {eta}{r_arrow}{gamma}{mu}{sup {minus}}{mu}{sup +}, and {eta}{r_arrow}{pi}{sup 0}{gamma}{gamma} decay widths are in good agreement with the experimental values when the U{sub A}(1) breaking is strong and the flavor SU(3) singlet-octet mixing angle {theta} is about zero. The calculated {eta}{gamma}{gamma}{sup {asterisk}} transition form factor has a somewhat weaker dependence on the squared four-momentum of the virtual photon. The effects of the U{sub A}(1) anomaly on the scalar quark contents in the nucleon, the {Sigma}{sub {pi}N} and {Sigma}{sub KN} terms, and the baryon number one and two systems are also studied. {copyright} {ital 1997} {ital The American Physical Society}

Authors:

Takizawa, M ^[1]; Nemoto, Y; Oka, M ^[2]

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188 (Japan)
Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152 (Japan)

Publication Date:: 1997-04-01

OSTI Identifier:: 477073

Resource Type:: Journal Article

Journal Name:: Physical Review, D

Additional Journal Information:: Journal Volume: 55; Journal Issue: 7; Other Information: PBD: Apr 1997

Country of Publication:: United States

Language:: English

Subject:: 66 PHYSICS; U-1 GROUPS; SYMMETRY BREAKING; ETA MESONS; RADIATIVE DECAY; FLAVOR MODEL; INSTANTONS; PHOTONS; SU-3 GROUPS; BARYON NUMBER; MIXING RATIO; FORM FACTORS

Citation Formats


                    Takizawa, M, Nemoto, Y, and Oka, M. Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems.  United States: N. p., 1997. 
        Web.  doi:10.1103/PhysRevD.55.4083.

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                    Takizawa, M, Nemoto, Y, & Oka, M. Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems.  United States.  https://doi.org/10.1103/PhysRevD.55.4083

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                    Takizawa, M, Nemoto, Y, and Oka, M. Tue .  
        "Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems".  United States.  https://doi.org/10.1103/PhysRevD.55.4083.

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@article{osti_477073,

  title        = {Strong U{sub A}(1) breaking in radiative {eta} decays and baryon systems},

  author       = {Takizawa, M and Nemoto, Y and Oka, M},

  abstractNote = {We study the {eta}{r_arrow}{gamma}{gamma}, {eta}{r_arrow}{gamma}{mu}{sup {minus}}{mu}{sup +}, and {eta}{r_arrow}{pi}{sup 0}{gamma}{gamma} decays using an extended three-flavor Nambu{endash}Jona-Lasinio model that includes the `t Hooft instanton induced interaction. We find that the {eta}-meson mass, the {eta}{r_arrow}{gamma}{gamma}, {eta}{r_arrow}{gamma}{mu}{sup {minus}}{mu}{sup +}, and {eta}{r_arrow}{pi}{sup 0}{gamma}{gamma} decay widths are in good agreement with the experimental values when the U{sub A}(1) breaking is strong and the flavor SU(3) singlet-octet mixing angle {theta} is about zero. The calculated {eta}{gamma}{gamma}{sup {asterisk}} transition form factor has a somewhat weaker dependence on the squared four-momentum of the virtual photon. The effects of the U{sub A}(1) anomaly on the scalar quark contents in the nucleon, the {Sigma}{sub {pi}N} and {Sigma}{sub KN} terms, and the baryon number one and two systems are also studied. {copyright} {ital 1997} {ital The American Physical Society}},

  doi          = {10.1103/PhysRevD.55.4083},

  url          = {https://www.osti.gov/biblio/477073},
  journal      = {Physical Review, D},
number       = 7,

  volume       = 55,

  place        = {United States},

  year         = {1997},

  month        = {4}

}

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