Pointlike constituent quarks and scattering equivalences

Sengbusch, Evan; Polyzou, W. N.

doi:10.1103/physrevc.70.058201

Cited by 9 publications

(10 citation statements)

References 20 publications

(41 reference statements)

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“…There are many F π calculations using a variety of constituent-quark models [88][89][90][91][92][93][94][95][96][97][98]. The differences in approach typically involve differences in the treatment of the quark wave functions or the inclusion of relativistic effects.…”

Section: G Constituent-quark Modelmentioning

confidence: 99%

Charged pion form factor betweenQ2=0.60and2.45 GeV<

Huber¹,

Blok²,

Horn³

et al. 2008

Phys. Rev. C

218

138

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The charged pion form factor, F π (Q 2 ), is an important quantity that can be used to advance our knowledge of hadronic structure. However, the extraction of F π from data requires a model of the 1 H(e, e π + )n reaction and thus is inherently model dependent. Therefore, a detailed description of the extraction of the charged pion form factor from electroproduction data obtained recently at Jefferson Lab is presented, with particular focus given to the dominant uncertainties in this procedure. Results for F π are presented for Q 2 = 0.60-2.45 GeV 2 . Above Q 2 = 1.5 GeV 2 , the F π values are systematically below the monopole parametrization that describes the low Q 2 data used to determine the pion charge radius. The pion form factor can be calculated in a wide variety of theoretical approaches, and the experimental results are compared to a number of calculations. This comparison is helpful in understanding the role of soft versus hard contributions to hadronic structure in the intermediate Q

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Section: G Constituent-quark Modelmentioning

confidence: 99%

Charged pion form factor betweenQ2=0.60and2.45 GeV<

Huber¹,

Blok²,

Horn³

et al. 2008

Phys. Rev. C

218

138

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show abstract

“…This is outside the scope of this review. We restrict ourselves only to a few recent ones, which provide references to earlier work and to studies by J. Carbonell and collaborators: [221][222][223][224]. All that work briefly addressed opens the doors to generalize what has been presented in this review into a relativistic Hamiltonian scheme.…”

Section: Addendummentioning

confidence: 99%

“…The subscript "1" indicates that p refers to the subsystem (23) and q is the relative momentum of particle 1 in relation to the pair (23). This choice appears in (221). Now | p q 2 (| p q 3 ) signifies that the momenta did not change but they refer to different two-body subsystems.…”

Section: The Performancementioning

confidence: 99%

Electron and photon scattering on three-nucleon bound states

et al. 2005

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A big spectrum of processes induced by real and virtual photons on the 3 He and 3 H nuclei is theoretically investigated through many examples based on nonrelativistic Faddeev calculations for bound and continuum states. The modern nucleon-nucleon potential AV18 together with the threenucleon force UrbanaIX is used. The single nucleon current is augmented by explicit π-and ρ-like two-body currents which fulfill the current continuity equation together with the corresponding parts of the AV18 potential. We also employ the Siegert theorem, which induces many-body contributions to the current operator. The interplay of these different dynamical ingredients in the various electromagnetic processes is studied and the theory is compared to the experimental data.Overall we find fair to good agreement but also cases of strong disagreement between theory and experiment, which calls for improved dynamics. In several cases we refer the reader to the work of other groups and compare their results with ours. In addition we list a number of predictions for observables in different processes which would challenge this dynamical scenario even more stringently and systematically.

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“…Therefore one has resorted to simplified transition operators congruent with an impulse approximation in a nonrelativistic theory. However, this practice causes problems in RQM, since the constraints that have to be imposed on covariant relativistic operators lead to serious difficulties in the definition and application of one-body operators [14,15]. Consequently, the constructions of so-called spectator-model operators are afflicted with specific shortcomings that have to be made up by additional ingredients.…”

Section: Introductionmentioning

confidence: 99%

Spectator-model operators in point-form relativistic quantum mechanics

et al. 2005

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We address the construction of transition operators for electromagnetic, weak, and hadronic reactions of relativistic few-quark systems along the spectator model. While the problem is of relevance for all forms of relativistic quantum mechanics, we specifically adhere to the point form, since it preserves the spectator character of the corresponding transition operators in any reference frame. The conditions imposed on the construction of point-form spectator-model operators are discussed and their implications are exemplified for mesonic decays of baryon resonances within a relativistic constituent quark model. PACS. 12.39.Ki Relativistic quark model -13.30.Eg Hadronic decays -21.45.+v Few-body systems

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Pointlike constituent quarks and scattering equivalences

Cited by 9 publications

References 20 publications

Charged pion form factor betweenQ2=0.60and2.45 GeV<

Charged pion form factor betweenQ2=0.60and2.45 GeV<

Electron and photon scattering on three-nucleon bound states

Spectator-model operators in point-form relativistic quantum mechanics

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