On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons

Abstract

We reconsider the two different facets of $\pi$ and $K$ mesons as $q\bar{q}$ bound states and approximate Nambu-Goldstone bosons. We address several topics, including masses, mass splittings between $\pi$ and $\rho$ and between $K$ and $K^{\ast }$, meson wavefunctions, charge radii, and the $K-\pi$ wavefunction overlap.

arXiv comment15 pages, latex

References in corpus (36)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Heavy Quark Symmetry
• Chiral Dynamics in Nucleons and Nuclei
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• ππscattering
• Dyson-Schwinger equations: a tool for hadron physics
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Chiral Perturbation Theory
• Hadronic Spectrum of a Holographic Dual of QCD
• Lattice Study of the Conformal Window in QCD-like Theories
• Conformal Phase Transition in Gauge Theories
• Light-Front Hadron Dynamics and AdS/CFT Correspondence
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• q\bar q$ bound states in the Bethe-Salpeter formalism
• Ground-state Spectrum of Light-quark Mesons
• The physics of eight flavours
• Chiral Perturbation Theory Beyond One Loop
• Chiral perturbation theory
• The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Optimal Renormalization Scale and Scheme for Exclusive Processes
• QCD Inequalities
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• K_l3 form factors at order p^6 in chiral perturbation theory
• Non-lattice determinations of the light quark masses
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• QCD with Large Number of Quarks: Effects of the Instanton -- Anti-instanton Pairs
• Implications of Dynamical Generation of Standard-Model Fermion Masses
• Instantons and the Chiral Phase Transition
• New Quark Relations for Hadron Masses and Magnetic Moments - A Challenge for Explanation from QCD

Cited by in corpus (16)

• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Essence of the vacuum quark condensate
• Branching ratios and direct CP asymmetries in $D\to PV$ decays
• Possible resolution of the B -> pi pi, pi K puzzles
• Gedanken Worlds without Higgs: QCD-Induced Electroweak Symmetry Breaking
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory
• No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons
• Upper Limits on a Possible Gluon Mass
• Glauber gluons in pion-induced Drell-Yan processes
• Gluon-Glueball Duality and Glueball Searches
• Neutrino photoproduction on pseudo Nambu-Goldstone bosons
• Glauber gluons in pion-induced Drell-Yan processes revisited
• Glauber gluons in annihilation amplitudes for heavy meson decays