Mass-dependence of pseudoscalar meson elastic form factors

Abstract

A continuum approach to quark-antiquark bound-states is used to determine the electromagnetic form factors of pion-like mesons with masses $m_{0^{-}}/\mathrm{GeV}=0.14$, $0.47$, $0.69$, $0.83$ on a spacelike domain that extends to $Q^2\lesssim 10$GeV${}^2$. The results enable direct comparisons with contemporary lattice-QCD calculations of heavy-pion form factors at large values of momentum transfer and aid in understanding them. They also reveal, inter alia, that the form factor of the physical pion provides the best opportunity for verification of the factorised hard-scattering formula relevant to this class of exclusive processes and that this capacity diminishes steadily as the meson mass increases.

arXiv comment6 pages, 2 figures, 1 table

References in corpus (60)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Measurement of the Charged Pion Electromagnetic Form Factor
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Interaction model for the gap equation
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Pion electromagnetic form factor at spacelike momenta
• Light mesons in QCD and unquenching effects from the 3PI effective action
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Quark flavour effects on gluon and ghost propagators
• The Quark-Photon Vertex and the Pion Charge Radius
• Pion Distribution Amplitude from Lattice QCD
• The pion: an enigma within the Standard Model
• Process-independent strong running coupling
• Unquenched Gluon Propagator in Landau Gauge
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Vector meson form factors and their quark-mass dependence
• On unifying the description of meson and baryon properties
• Commentary on rainbow-ladder truncation for excited states and exotics
• Pion and photon light-cone wave functions from the instanton vacuum
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Nonperturbative structure of the quark-gluon vertex
• Structure of the neutral pion and its electromagnetic transition form factor
• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Natural constraints on the gluon-quark vertex
• Locating the Gribov horizon
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Quark-gluon vertex model and lattice-QCD data
• Unquenching the gluon propagator with Schwinger-Dyson equations
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• A new method for determining the quark-gluon vertex
• Is the QCD ghost dressing function finite at zero momentum ?
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Chiral susceptibility and the scalar Ward identity
• Electromagnetic form factors at large momenta from lattice QCD
• Pion distribution amplitude from lattice-QCD
• Partonic structure of neutral pseudoscalars via two photon transition form factors
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Mind the gap
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Scale-setting, flavour dependence and chiral symmetry restoration
• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
• Distribution amplitudes of light-quark mesons from lattice QCD
• The analytic properties of the quark propagator from an effective infrared interaction model
• Off-shell persistence of composite pions and kaons
• Distribution amplitudes of radially-excited pi- and K-mesons
• The size of the pion from full lattice QCD with physical $u$, $d$, $s$ and $c$ quarks
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• The pion vector form factor from Lattice QCD at the physical point
• Flavour breaking effects in the pseudoscalar meson decay constants
• Confinement, Diquarks and Goldstone's theorem

Cited by in corpus (41)

• Pion and Kaon Structure at the Electron-Ion Collider
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Spectrum of light- and heavy-baryons
• Symmetry, symmetry breaking, and pion parton distributions
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Effective charge from lattice QCD
• Empirical Consequences of Emergent Mass
• Selected Science Opportunities for the EicC
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Impressions of the Continuum Bound State Problem in QCD
• Elastic electromagnetic form factors of vector mesons
• Vector-meson production and vector meson dominance
• Drawing insights from pion parton distributions
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Resolving the Bethe-Salpeter kernel
• Lattice Calculation of Pion Form Factor with Overlap Fermions
• Measures of pion and kaon structure from generalised parton distributions
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis
• Pion charge radius from pion+electron elastic scattering data
• Hadron and light nucleus radii from electron scattering
• Bethe-Salpeter kernel and properties of strange-quark mesons
• On the effect of resonances in the quark-photon vertex
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Semileptonic decays of $D_{(s)}$ mesons
• Heavy-light mesons beyond ladder approximation
• Empirical Determination of the Pion Mass Distribution
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• Distribution amplitudes of light diquarks
• Pion scalar, vector and tensor form factors from a contact interaction
• Heavy+light pseudoscalar meson semileptonic transitions
• Can the hyperfine mass splitting formula in heavy quarkonia be applied to the $B_c$ system?
• Kaon Structure in the Nuclear Medium within the Light Front Approach
• Simulation of the neutron-tagged deep inelastic scattering at EicC
• The rainbow modified-ladder approximation and degenerate pion
• Mass-dependence of pseudocritical temperature in mean field approximation
• Revealing pion and kaon structure via generalised parton distributions
• Composite scalar boson mass dependence on the constituent mass anomalous dimension
• Quark-photon vertex from lattice QCD in Landau gauge