Mesons and Baryons: Parity Partners

Abstract

We calculate masses of light and heavy mesons as well as baryons of negative parity containing $u,d,s,c$ and $b$ quarks. It is an extension of our previous work where we had studied the positive parity baryons. We adopt a quark-diquark picture of baryons where the diquarks are non-pointlike with a finite spatial extension. The mathematical foundation for this analysis is implemented through a symmetry-preserving Schwinger-Dyson equations treatment of a vector-vector contact interaction, which preserves key features of quantum chromodynamics, such as confinement, chiral symmetry breaking, axial vector Ward-Takahashi identity and low-energy Goldberger-Treiman relations. This treatment simultaneously describes mesons and provides attractive correlations for diquarks in the $\overline{3}$ representation. Employing this model, we compute the spectrum and masses of all spin-1/2 and spin-3/2 baryons of negative parity, supplementing our earlier evaluation of positive parity baryons, containing 1, 2 or 3 heavy quarks. In the process, we calculate masses of a multitude of mesons and corresponding diquarks. Wherever possible, we make comparisons of our results with known experimental observations as well as theoretical predictions of several models and approaches including lattice quantum chromodynamics, finding satisfactory agreement. We also make predictions for heavier states not yet observed in the experiment.

arXiv comment10 pages, 4 figures

References in corpus (47)

• Chiral Multiplets of Heavy-Light Mesons
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• The QCD Running Coupling
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• Interaction model for the gap equation
• Hadron Properties and Dyson-Schwinger Equations
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Dressed-quark anomalous magnetic moments
• Nucleon mass from a covariant three-quark Faddeev equation
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• First observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$
• Masses of heavy baryons in the relativistic quark model
• Abelian anomaly and neutral pion production
• Process-independent strong running coupling
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Chiral effective action with heavy quark symmetry
• Commentary on rainbow-ladder truncation for excited states and exotics
• Pion form factor from a contact interaction
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Tracing masses of ground-state light-quark mesons
• Masses of ground and excited-state hadrons
• Spectrum of light- and heavy-baryons
• Studies of jet mass in dijet and W/Z + jet events
• Spectrum of hadrons with strangeness
• Locating the Gribov horizon
• Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Charmonia in a Contact Interaction
• Hadron Physics and the Dyson--Schwinger Equations of QCD
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Parity partners in the baryon resonance spectrum
• Evidence of ghost suppression in gluon mass dynamics
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Cutoff-independent regularization of four-fermion interactions for color superconductivity
• Resolving the SELEX--LHCb Double-Charm Baryon Conflict: The Impact of Intrinsic Heavy-Quark Hadroproduction and Supersymmetric Light-Front Holographic QCD
• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• Hadron Physics: The Essence of Matter
• Degeneracy of doubly heavy baryons from heavy quark symmetry