An introduction to the quark model

Abstract

This document contains a review on the quark model, prepared for lectures at the Niccolo Cabeo School at Ferrara in May 2012. It includes some historical aspects, the spectral properties of the 2-body and 3-body Schroedinger operators applied to mesons and baryons, the link between meson and baryon spectra, the role of flavour independence, and the speculations about stable or metastable multiquarks. The analogies between few-charge systems and few-quark bound states will be underlined.

25 figures, 81 pages, typos corrected, references added

References in corpus (61)

• Heavy quarkonium: progress, puzzles, and opportunities
• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Baryon spectroscopy
• New Charmonium States in QCD Sum Rules: a Concise Review
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Unified description of light- and strange-baryon spectra
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Heavy baryons
• Exotic QQ\qbar\qbar States in QCD
• Evidence for a Bound H-dibaryon from Lattice QCD
• New states above charm threshold
• Observation of the eta_c(2S) in exclusive B-->K KsK-pi+ decays
• Hadron Loops: General Theorems and Application to Charmonium
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• The Quark Model and $b$ Baryons
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• The Tcc = DD* molecular state
• Observation of eta_c^{prime} Production in gamma gamma Fusion at CLEO
• Stability of multiquarks in a simple string model
• Exotic mesons with double charm and bottom flavor
• Measurements of the mass and width of the eta_c meson and of an eta_c(2S) candidate
• Observation of the doubly strange b baryon Omega_b-
• Scaling of the 3P0 strength in heavy meson strong decays
• QCD Inequalities
• A chromomagnetic mechanism for the X(3872) resonance
• Are there compact heavy four-quark bound states?
• Stability of Few-Charge Systems in Quantum Mechanics
• First Observation of a Upsilon(1D) State
• Exotic mesons with hidden bottom near thresholds
• Critique of a Pion Exchange Model for Interquark Forces
• Observation of the Omega_b^- and Measurement of the Properties of the Xi_b^- and Omega_b^-
• Observation of the ^1P_1 State of Charmonium
• The Meson Spectrum in a Covariant Quark Model
• Bottom baryons from a dynamical lattice QCD simulation
• A consistent explanation of the Roper phenomenology
• Isospin splittings of doubly heavy baryons
• Stability of the Hydrogen and Hydrogen-like Molecules
• Heavy Meson Description with a Screened Potential
• Model-Independent Bottom Baryon Mass Predictions in the 1/N Expansion
• Doubly heavy hadrons and the domain of validity of doubly heavy diquark--anti-quark symmetry
• Search for the pentaquark via the P^0_{{c bar}s} --> phi,pi,p decay
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• Proof of stability of the hydrogen molecule
• Bound State versus Collective Coordinate Approaches in Chiral Soliton Models and the Width of the ${\Theta }^{+}$ Pentaquark
• Stability of hexaquarks in the string limit of confinement
• The Width of the ${\Theta }^{+}$ Exotic Baryon in the Chiral Soliton Model
• Observation of eta_b(2S) in Upsilon(2S) -> gamma eta_b(2S), eta_b(2S) -> hadrons, and Confirmation of eta_b(1S)
• A unified meson-baryon potential
• Roper Properties on the Lattice: An Update
• Stability of the pentaquark in a naive string model
• Stability of asymmetric tetraquarks in the minimal-path linear potential
• Low-lying spectrum of the Y-string three-quark potential using hyper-spherical coordinates
• How the small hyperfine splitting of P-wave mesons evades large loop corrections
• Four- and Five-Body Scattering Calculations
• Are there quasistable strange baryons with anticharm or antibeauty?
• Quark Models and Quark Phenomenology
• The domain of stability of unnatural parity states of three unit charges
• Type-I Error or Mass Bias ? An Investigation on the Omega_b Discovery
• Experimental tests of the Okubo-Zweig-Iizuka rule in hadron interactions

Cited by in corpus (5)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Some Aspects of Three-Quark Potentials
• QCD Sum Rule Studies of Heavy Quarkonium-like States
• The Role of Flavor in Multiquark Spectroscopy
• Perturbative calculation of energy levels for the Dirac equation with generalised momenta