A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment

Abstract

In the case of three quark flavors, (pseudo)scalar diquarks transform as antiquarks under chiral transformations. We construct four spin-1/2 baryonic multiplets from left- and right-handed quarks as well as left- and right-handed diquarks. The fact that two of these multiplets transform in a "mirror" way allows for chirally invariant mass terms. We then embed these baryonic multiplets into the Lagrangian of the so-called extended Linear Sigma Model, which features (pseudo)scalar and (axial-)vector mesons, as well as glueballs. Reducing the Lagrangian to the two-flavor case, we obtain four doublets of nucleonic states. These mix to produce four experimentally observed states with definite parity: the positive-parity nucleon $N(939)$ and Roper resonance $N(1440)$, as well as the negative-parity resonances $N(1535)$ and $N(1650)$. We determine the parameters of the nucleonic part of the Lagrangian from a fit to masses and decay properties of the aforementioned states. Studying the limit of vanishing quark condensate, we conclude that $N(939)$ and $N(1535)$, as well as $N(1440)$ and $N(1650)$ form pairs of chiral partners.

19 pages, 3 figures

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Cited by in corpus (24)

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• Investigating the role of strangeness in baryon$-$antibaryon annihilation at the LHC
• Casimir effect for nucleon parity doublets
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• The chiral phase transition and the axial anomaly
• Parity doubling of baryons in a chiral approach with three flavors
• Chiral partner structure of light nucleons in an extended parity doublet model
• Chiral spin symmetry and hot/dense QCD
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Decays of the vector glueball
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
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• Baryon parity doublets and chiralspin symmetry
• Strong decays of singly heavy baryons from a chiral effective theory of diquarks
• Composition of scalar mesons and their effects on nuclear matter properties in an extended linear sigma model
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Study of conventional and non-conventional scalar and vector mesons
• Naive versus mirror assignment at finite density: correlator mixing and chiral symmetry restoration
• Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment