Three‐quark nucleon interpolating fields in QCD have well‐defined and chiral transformation properties, viz. and their “mirror” images, Ref. [1]. It has been shown (phenomenologically) in Ref. [2] that mixing of the chiral multiplet with one ordinary (“naive”) and one “mirror” field belonging to the multiplets can be used to fit the values of the isovector and the flavor‐singlet (isoscalar) axial coupling of the nucleon and then predict the axial F and D coefficients, or vice versa, in reasonable agreement with experiment. In an attempt to derive such mixing from an effective Lagrangian, we construct all chirally invariant non‐derivative one‐meson‐baryon interactions and then calculate the mixing angles in terms of baryons’ masses. It turns out that there are (strong) selection rules: for example, there is only one non‐derivative chirally symmetric interaction between fields belonging to the chiral multiplets, that is also symmetric. We also study the chiral interactions of the and nucleon fields. Again, there are selection rules that allow only one off‐diagonal non‐derivative chiral interaction of this type, that also explicitly breaks the symmetry. We use this interaction to calculate the corresponding mixing angles in terms of baryon masses and fit two lowest lying observed nucleon (resonance) masses, thus predicting the third Δ resonance, as well as one or two flavor‐singlet Λ hyperon(s), depending on the type of mixing. The effective chiral Lagrangians derived here may be applied to high density matter calculations.
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21 October 2011
INTERNATIONAL CONFERENCE ON THE STRUCTURE OF BARYONS (BARYONS' 10)
7–11 December 2010
Osaka, (Japan)
Research Article|
October 21 2011
SU(3) chiral symmetry for baryons
V. Dmitrašinovic
V. Dmitrašinovic
Institute of Physics, Belgrade University, Pregrevica 118, Zemun, P.O.Box 57, 11080 Beograd, Serbia
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AIP Conf. Proc. 1388, 326–329 (2011)
Citation
V. Dmitrašinovic; SU(3) chiral symmetry for baryons. AIP Conf. Proc. 21 October 2011; 1388 (1): 326–329. https://doi.org/10.1063/1.3647400
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