Charge form factors of quark-model pions

Chung, P.; Coester, F.; Polyzou, W. N.

doi:10.1016/0370-2693(88)90995-1

Cited by 183 publications

(219 citation statements)

References 9 publications

Supporting

Mentioning

205

Contrasting

Order By: Relevance

“…Large overlap contributions have also been observed by other authors [5,15,32,33]. Thus the small size of the perturbative contribution finds a comforting explanation a fact which has already been pointed out by Isgur and Llewellyn-Smith [15].…”

Section: Do We Know the Pion's Wave Function?supporting

confidence: 67%

Meson - photon transition form factors

Jakob

Kroll

Raulfs

1996

J. Phys. G: Nucl. Part. Phys.

100

172

View full text Add to dashboard Cite

We report results on the π-γ transition form factor obtained within the hard scattering approach including transverse momentum effects and Sudakov corrections. The results clearly favor distribution amplitudes close to the asymptotic form, ∼ x 1 x 2 , and disfavor distribution amplitudes which are strongly concentrated in the end-point regions. This observation is backed by information on the elastic form factor of the pion and on its valence quark distribution function. Applications of our approach to the η-γ and η ′ -γ transition form factors are discussed as well. Combining the form factor data with the twophoton decay widths, we determine the η and the η ′ decay constants and the η-η ′ mixing angle.

show abstract

Section: Do We Know the Pion's Wave Function?supporting

confidence: 67%

Meson - photon transition form factors

Jakob

Kroll

Raulfs

1996

J. Phys. G: Nucl. Part. Phys.

100

172

View full text Add to dashboard Cite

show abstract

“…in (Dziembowski 1988;Chung et al 1988;Jaus 1990;Ji and Cotanch 1990;Ji et al 1992). The NJL wave function of the pion thus becomes…”

Section: Schwinger-dyson Approachmentioning

confidence: 99%

Light-Cone Quantization: Foundations and Applications

Heinzl

2001

Lecture Notes in Physics

115

141

View full text Add to dashboard Cite

Abstract. These lecture notes review the foundations and some applications of lightcone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincaré invariance naturally leads to Dirac's forms of relativistic dynamics. Among these, the front form, being the basis for light-cone quantization, is my main focus. I explain a few of its peculiar features such as boost and Galilei invariance or separation of relative and center-of-mass motion. Combining light-cone dynamics and field quantization results in light-cone quantum field theory. As the latter represents a first-order system, quantization is somewhat nonstandard. I address this issue using Schwinger's quantum action principle, the method of Faddeev and Jackiw, and the functional Schrödinger picture. A finite-volume formulation, discretized light-cone quantization, is analysed in detail. I point out some problems with causality, which are absent in infinite volume. Finally, the triviality of the light-cone vacuum is established. Coming to applications, I introduce the notion of light-cone wave functions as the solutions of the light-cone Schrödinger equation. I discuss some examples, among them nonrelativistic Coulomb systems and model field theories in two dimensions. Vacuum properties (like chiral condensates) are reconstructed from the particle spectrum obtained by solving the light-cone Schrödinger equation. In a last application, I make contact with phenomenology by calculating the pion wave function within the Nambu and Jona-Lasinio model. I am thus able to predict a number of observables like the pion charge and core radius, the r.m.s. transverse momentum, the pion structure function and the pion distribution amplitude. The latter turns out to be the asymptotic one.

show abstract

“…There have been numerous experimental [1][2][3][4][5][6] and theoretical studies [7][8][9] of the EM form factors of the light pseudoscalar meson (π ana K). However, duing to the experiments are more difficult, the EM form factors of the light vector meson (ρ and K * ) have fewer investigations than their pseudoscalar counterparts [11,12], even though they could provide much information about the bound-state dynamics.…”

mentioning

confidence: 99%

“…From Eqs. (6), (7), and (9), it is understandable that the term A 2 + k 2 ⊥ comes from the Melosh transformation. After fixing the parameters which appear in the wave fnction, Eq.…”

mentioning

confidence: 99%

“…In the literature [21][22][23][24], these invariant form factors are usually obtained by choosing the Breit frame. For the vector meson there are only three independent form factors, whereas four matrix elements of J + are independent [7] since J + is (i) Hermitian, (ii) invariant under rotations about n, (iii) time reveral, and (iv) reflection on the plane perpendicular to n. An additional constraint, which called the angular condition, is related to the rotational invariance of the charge density [12]. This invariance is related to the unitary transformations based upon a subset of Poincare generators.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic properties of heavy mesons in heavy quark limit

Hwang¹

2001

Physics Letters B

View full text Add to dashboard Cite

The electromagnetic (EM) form fators of the pseudoscalar and vector mesons are calculated in the light-front framework. We extract these form factors from the relevant matrix elements directly, instead of choosing the Breit frame. The results show that the charge radius of the meson are related to both the first and second longitudinal momentum square derivative of the momentum distribution function. In addition, the static properties of the EM form factors and the heavy quark symmetry of the charge radii are checked analytically when we take the heavy quark limit.

show abstract

Charge form factors of quark-model pions

Cited by 183 publications

References 9 publications

Meson - photon transition form factors

Meson - photon transition form factors

Light-Cone Quantization: Foundations and Applications

Electromagnetic properties of heavy mesons in heavy quark limit

Contact Info

Product

Resources

About