Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry

Abstract

We investigate chiral properties of local (non-derivative) fields of baryons consisting of three quarks with flavor SU(3) symmetry. We construct explicitly independent local three-quark fields belonging to definite Lorentz and flavor representations. Chiral symmetry is spontaneously broken and therefore the baryon fields can have different chiral representations. It turns out that the allowed chiral representations are strongly correlated with the Lorentz group representations due to the color and spatial structure of the local three-quark fields. We discuss some implications of the allowed chiral symmetry representations on phenomenological Lagrangians with chiral U(3)_L \otimes U(3)_R symmetry.

arXiv comment21 pages, comments and suggestions welcome

References in corpus (10)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Chiral Symmetry of Baryons
• Chiral Symmetry Realization for Even- and Odd-parity Baryon Resonances
• Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule
• Spin-3/2 Nucleon and Delta Baryons in Lattice QCD
• Chiral Multiplets of Hadron Currents
• Baryon Spectroscopy in Lattice QCD
• Predictive Ability of QCD Sum Rules for Excited Baryons
• Suppression of PiNN* Coupling and Chiral Symmetry
• A Conjecture about Hadrons

Cited by in corpus (36)

• The hidden-charm pentaquark and tetraquark states
• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• A review of the open charm and open bottom systems
• Towards exotic hidden-charm pentaquarks in QCD
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Hadronic molecules in B decays
• QCD sum rule study of hidden-charm pentaquarks
• QCD sum rule Study of the $d^{\ast }(2380)$
• Establishing low-lying doubly charmed baryons
• $D$-wave heavy baryons of the $SU(3)$ flavor $6_F$
• Low-lying Lambda Baryons from the Lattice
• Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model
• Baryon Fields with U_L(3) \times U_R(3) Chiral Symmetry: Axial Currents of Nucleons and Hyperons
• Casimir effect for nucleon parity doublets
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Baryon Fields with U_L(3) times U_R(3) Chiral Symmetry III: Interactions with Chiral (3,3_bar)+(3_bar,3) Spinless Mesons
• Chiral partner structure of light nucleons in an extended parity doublet model
• Baryons with U_L(3)*U_R(3) Chiral Symmetry IV: Interactions with Chiral (8,1)+(1,8) Vector and Axial-vector Mesons and Anomalous Magnetic Moments
• Decay properties of $P_c$ states through the Fierz rearrangement
• Baryon fields with $U_L(3)\times U_R(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\Sigma$ Terms
• Searching for hidden-charm baryonium signals in QCD sum rules
• A Lagrangian for the Chiral (1/2,0) + (0,1/2) Quartet Nucleon Resonances
• Nucleon axial couplings and [(1/2,0) + (0,1/2)]-[(1,1/2) + (1/2,1)] chiral multiplet mixing
• Bi-local baryon interpolating fields with two flavours
• The "Closed" Chiral Symmetry and Its Application to Tetraquark
• Chiral Structure of Vector and Axial-Vector Tetraquark Currents
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• Baryon Tri-local Interpolating Fields
• Effects of a dense medium on parameters of doubly heavy baryons
• Bi-Local Baryon Interpolating Fields with Three Flavours
• Chiral Structure of Scalar and Pseudoscalar Mesons
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment
• Baryons and baryoniums in the perspective of QCD sum rules