Chiral effective theory of scalar and vector diquarks revisited

Abstract

Chiral effective theory of light diquarks is revisited. We construct an effective Lagrangian based on the linear representation of three-flavor chiral symmetry. Here, we focus on the effect of a chiral and $U(1{)}_A$ symmetric term originated from an eight-point quark interaction. From this model, we obtain the mass formulas of scalar, pseudoscalar, vector, and axial-vector diquarks, which also describe the dependence of diquark masses on the spontaneous chiral symmetry breaking and the $U(1{)}_A$ anomaly. We regard singly heavy baryons as two-body systems composed of one heavy quark and one diquark and then predict the fate of the mass spectrum and the strong decay widths under chiral symmetry restoration.

arXiv comment16 pages, 8 figures, 5 tables; published version

References in corpus (77)

• Exotica
• Spectroscopy and Regge trajectories of heavy baryons in the relativistic quark-diquark picture
• Spectrum of heavy baryons in the quark model
• Masses of excited heavy baryons in the relativistic quark-diquark picture
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory
• Chiral perturbation theory for hadrons containing a heavy quark: the sequel
• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• Strong and radiative decays of the low-lying $S$- and $P$-wave singly heavy baryons
• Charmed baryon strong decays in a chiral quark model
• Evidence for diquarks in lattice QCD
• Decay properties of $P$-wave charmed baryons from light-cone QCD sum rules
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Low-lying charmed and charmed-strange baryon states
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory: An Update
• Understanding the newly observed ${\Omega }_c$ states through their decays
• Dynamical generation of the gauged SU(2) linear sigma model
• Diquark Masses from Lattice QCD
• Quantum Numbers of ${\Omega }_c$ States and Other Charmed Baryons
• Structure of charmed baryons studied by pionic decays
• Strong and Electromagnetic Decays of Two New $Lambd{a}_c^{\ast }$ Baryons
• Strong and radiative decays of the low-lying $D$-wave singly heavy baryons
• Interpretation of the newly observed ${\Sigma }_b(6097{)}^{\pm }$ and ${\Xi }_b(6227{)}^{-}$ states as the $P$-wave bottom baryons
• Diquark correlations in baryons on the lattice with overlap quarks
• Charmed Baryons with $J=3/2$
• Doubly heavy tetraquarks in a chiral-diquark picture
• Systematic analysis of single heavy baryons ${\Lambda }_Q$, ${\Sigma }_Q$ and ${\Omega }_Q$
• Identifying the ${\Xi }_b(6227)$ and ${\Sigma }_b(6097)$ as $P$-wave bottom baryons of $J^P=3/2^{-}$
• Study of the strong ${\Sigma }_c\to {\Lambda }_c\pi$, ${\Sigma }_c^{\ast }\to {\Lambda }_c\pi$ and ${\Xi }_c^{\ast }\to {\Xi }_c\pi$ decays in a nonrelativistic quark model
• Single heavy baryons with chiral partner structure in a three-flavor chiral model
• Strong decay of ${\Lambda }_c(2940)$ as a $2P$ state in the ${\Lambda }_c$ family
• Relativistic corrections to decays of heavy baryons in the quark model
• $P$-wave charmed baryons of the $SU(3)$ flavor $6_F$
• Strong decays of the higher excited ${\Lambda }_Q$ and ${\Sigma }_Q$ baryons
• Interpretation of the newly observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ states in a chiral quark model
• Decay properties of $P$-wave heavy baryons accompanied by vector mesons within light-cone sum rules
• Strong decay widths and mass spectra of charmed baryons
• Identification of newly observed singly charmed baryons using relativistic flux tube model
• Diquark effects in light baryon correlators from lattice QCD
• Analysis of ${\Lambda }_c(2595)$, ${\Lambda }_c(2625)$, ${\Lambda }_b(5912)$, ${\Lambda }_b(5920)$ based on a chiral partner structure
• Diquark properties from full QCD lattice simulations
• Diquark mass differences from unquenched lattice QCD
• On the nature of the lowest-lying odd parity charmed baryon ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$ resonances
• Chiral effective theory of diquarks and the U_A(1) anomaly
• Spectrum of singly heavy baryons from a chiral effective theory of diquarks
• Heavy baryon spectrum with chiral multiplets of scalar and vector diquarks
• A Diquark Chiral Effective Theory and Exotic Baryons
• Diquarks: a QCD sum rule perspective
• Identifying the ${\Xi }_c^0$ baryons observed by LHCb as $P$-wave ${\Xi }_c^{\prime }$ baryons
• Observation of new baryons in the ${\Xi }_b^{-}{\pi }^{+}{\pi }^{-}$ and ${\Xi }_b^0{\pi }^{+}{\pi }^{-}$ systems
• Excited ${\Omega }_b$ baryons and fine structure of strong interaction
• Spectra and decay properties of ${\Lambda }_b$ and ${\Sigma }_b$ baryons
• Identifying the ${\Xi }_b(6100)$ as the $P$-wave bottom baryon of $J^P=3/2^{-}$
• Three-Body Decay of ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ with Consideration of ${\Sigma }_c(2455)\pi$ and ${\Sigma }_c^{\ast }(2520)\pi$ in Intermediate States
• Novel pentaquark picture for singly heavy baryons from chiral symmetry
• ${\Lambda }_b(6146{)}^0$ state newly observed by LHCb
• Quark confinement potential examined by excitation energy of the Lambda_c and Lambda_b baryons in a quark-diquark model
• A diquark model for baryons containing one heavy quark
• Excitation energy spectra of the Lambda_c and Lambda_b baryons in a finite-size diquark model
• The Quark-Level Linear σ Model
• Three-body decay of ${\Lambda }_c^{\ast }(2765)$ and determination of its spin-parity
• Investigation of the mass spectra of singly heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$ $(Q=c,b)$ in the Regge trajectory model
• Three-Body Decay of ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ with the Inclusion of Direct Two-Pion Coupling
• Determination of the possible quantum numbers for the newly observed ${\Xi }_b(6227{)}^0$ state
• Suppression of decay widths in singly heavy baryons induced by the $U_A(1)$ anomaly
• Spectroscopy of heavy baryons with breaking of heavy-quark symmetry
• Decays of Roper-like singly heavy baryons in a chiral model
• ${\Lambda }_c{\Sigma }_c\pi$ coupling and ${\Sigma }_c\to {\Lambda }_c\pi$ decay in lattice QCD
• Decay widths and mass spectra of single bottom baryons
• Strong decays of singly heavy baryons from a chiral effective theory of diquarks
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Strong decays of the low-lying $1P$- and $1D$-wave ${\Sigma }_c$ baryons
• Light Scalar Decay in Diquark Chiral Effective Theory
• Axial-vector transition form factors of the singly heavy baryons
• Excitation spectra of heavy baryons in diquark models
• Axial anomaly effect on three-quark and five-quark singly heavy baryons