Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons

Abstract

Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states which show at least three indispensable general features, namely, the (almost) masslessness required for pions and kaons to be interpretable as (pseudo) Goldstone bosons, the suitable asymptotic behaviour in the limit of large spacelike relative momenta as determined by the relationship between quark mass function and Bethe-Salpeter amplitudes, and a pointwise behaviour for finite spacelike relative momenta suited for guaranteeing colour confinement.

15 pages, 6 figures

References in corpus (9)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Pion mass and decay constant
• Hadron Properties and Dyson-Schwinger Equations
• Semirelativistic Treatment of Bound States
• On the instantaneous Bethe-Salpeter equation
• Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions
• Stability in the instantaneous Bethe-Salpeter formalism: harmonic-oscillator reduced Salpeter equation
• Light Pseudoscalar Mesons in Bethe-Salpeter Equation with Instantaneous Interaction
• Bound States by the Spinless Salpeter Equation

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• Locating the Gribov horizon
• Empirical Consequences of Emergent Mass
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• Scale-setting, flavour dependence and chiral symmetry restoration
• Contact interaction analysis of pion GTMDs
• Pseudoscalar glueball mass: a window on three-gluon interactions
• N* Structure and Strong QCD
• Spectra of heavy-light mesons in a relativistic model
• Instantaneous Bethe-Salpeter Kernel for the Lightest Pseudoscalar Mesons
• Instantaneous Bethe-Salpeter View of Goldstone-Type Pseudoscalar Mesons
• Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter Models
• Exclusive Production Ratio of Neutral over Charged Kaon Pair in $e^{+}{e}^{-}$ Annihilation Continuum via `Straton Model'
• Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting
• Goldstone-Type Pseudoscalar Mesons: Instantaneous Bethe-Salpeter Models
• Simplified Bethe-Salpeter Description of Basic Pseudoscalar-Meson Features