Simple relativistic quark-model analysis of flavored pseudoscalar mesons

Ji, Chueng‐Ryong; Cotanch, Stephen R.

doi:10.1103/physrevd.41.2319

Cited by 41 publications

(39 citation statements)

References 22 publications

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“…In order to calculate the response of hadrons to external probes, one might resort to the use of model wave functions. This way to estimate matrix elements has been presented in many literatures [21][22][23][24][25][26][27][28][29][30][31]. Especially, the variational principle enabled the solution of a QCD-motivated effective Hamiltonian, and the constructed LF quark-model provided a good description of the available experimental data spanning various meson properties [32].…”

Section: Introductionmentioning

confidence: 99%

Poincaré invariant algebra from instant to light-front quantization

Ji¹,

Mitchell²

2001

Phys. Rev. D

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We present the Poincaré algebra interpolating between instant and lightfront time quantizations. The angular momentum operators satisfying SU(2) algebra are constructed in an arbitrary interpolation angle and shown to be identical to the ordinary angular momentum and Leutwyler-Stern angular momentum in the instant and light-front quantization limits, respectively. The exchange of the dynamical role between the transverse angular mometum and the boost operators is manifest in our newly constructed algebra.

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Section: Introductionmentioning

confidence: 99%

Poincaré invariant algebra from instant to light-front quantization

Ji¹,

Mitchell²

2001

Phys. Rev. D

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“…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

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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.

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“…Such models have a long history [14][15][16], and many authors [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] have contributed to the necessary developments. Schlumpf's model is used because his power-law wave functions lead to a reasonably good description of the proton electromagnetic form factors, G E and G M , at all of the values of Q 2 where data were available as of 1992 [10][11][12].…”

Section: Relativistic Constituent Quark Model Of the Nucleonmentioning

confidence: 99%