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- W5838097 abstract "We use the conventional F and D octet and decimet generator matrices to reformulate chiral properties of local (non-derivative) and one-derivative non-local fields of baryons consisting of three quarks with flavor SU(3) symmetry that were expressed in SU(3) tensor form in Ref. [12]. We show explicitly the chiral transformations of the [(6,3)oplus(3,6)] chiral multiplet in the SU(3) particle basis, for the first time to our knowledge, as well as those of the (3,bar{3}) oplus (bar{3}, 3), (8,1) oplus (1,8) multiplets, which have been recorded before in Refs. [4,5]. We derive the vector and axial-vector Noether currents, and show explicitly that their zeroth (charge-like) components close the SU_L(3) times SU_R(3) chiral algebra. We use these results to study the effects of mixing of (three-quark) chiral multiplets on the axial current matrix elements of hyperons and nucleons. We show, in particular, that there is a strong correlation, indeed a definite relation between the flavor-singlet (i.e. the zeroth), the isovector (the third) and the eighth flavor component of the axial current, which is in decent agreement with the measured ones." @default.
- W5838097 created "2016-06-24" @default.
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- W5838097 date "2010-03-08" @default.
- W5838097 modified "2023-09-29" @default.
- W5838097 title "Baryon fields with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>U</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=false>)</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mi>R</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math>chiral symmetry: Axial currents of nucleons and hyperons" @default.
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- W5838097 doi "https://doi.org/10.1103/physrevd.81.054002" @default.
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