Mind the gap

Bhagwat, Mandar S.; Krassnigg, A.; Maris, Pieter; Roberts, C. D.

doi:10.1007/978-3-540-72516-9_62

Cited by 10 publications

(16 citation statements)

References 47 publications

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“…It may be also noted that, unlike the value r for the ρ-meson charge radius obtained in our paper [18] practically coincides both with the Dyson-Schwinger model result of Ref. [23] and lattice gauge calculation reported in Ref. [24].…”

Section: Comparison With Hard-wall Modelsupporting

confidence: 91%

Structure of vector mesons in a holographic model with linear confinement

2007

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Wave functions and form factors of vector mesons are investigated in the holographic dual model of QCD with oscillator-like infrared cutoff. We introduce wave functions conjugate to solutions of the 5D equation of motion and develop a formalism based on these wave functions, which are very similar to those of a quantum-mechanical oscillator. For the lowest bound state (ρ-meson), we show that, in this model, the basic elastic form factor exhibits the perfect vector meson dominance, i.e., it is given by the ρ-pole contribution alone. The electric radius of the ρ-meson is calculated, r 2 ρ C = 0.655 fm 2 , which is larger than in case of the hard-wall cutoff. The squared radii of higher excited states are found to increase logarithmically rather than linearly with the radial excitation number. We calculate the coupling constant fρ and find that the experimental value is closer to that calculated in the hard-wall model.

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Section: Comparison With Hard-wall Modelsupporting

confidence: 91%

Structure of vector mesons in a holographic model with linear confinement

2007

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“…the value that is very close to the recent result (0.54 fm 2 ) obtained within the Dyson-Schwinger equations (DSE) approach [21]. Lattice gauge calculations [22] indicate a similar value in the m 2 π → 0 limit.…”

supporting

confidence: 89%

“…Analyzing the three-point function, we derived expressions for bound state form factors both in terms of ψ and φ wave functions, and obtained specific predictions for form factor behavior at small and large values of the invariant momentum transfer Q 2 . In particular, we calculated the electric radius of the ρ meson, and obtained the value r 2 ρ C = 0.53 fm 2 that practically coincides with the recent result [21] obtained within the DSE approach. Our result is also consistent with the m 2 π → 0 extrapolation of the recent lattice gauge calculation [22].…”

supporting

confidence: 85%

Form factors and wave functions of vector mesons in holographic QCD

2007

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Within the framework of a holographic dual model of QCD, we develop a formalism for calculating form factors of vector mesons. We show that the holographic bound states can be described not only in terms of eigenfunctions of the equation of motion, but also in terms of conjugate wave functions that are close analogues of quantum-mechanical bound state wave functions. We derive a generalized VMD representation for form factors, and find a very specific VMD pattern, in which form factors are essentially given by contributions due to the first two bound states in the Q 2 -channel. We calculate electric radius of the ρ-meson, finding the value r 2 ρ C = 0.53 fm 2 .

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“…In our present study we start from the interaction of Ref. [39] which was fitted to light pseudoscalar meson data and provides an efficient description of pseudoscalar and vector mesons and their properties (see, e.g., [38,39,[41][42][43][44][45][46][47][48][49][50][51][52][53]). In an attempt to combine DysonSchwinger and lattice approaches, several parametrizations for the quark-gluon interaction have been tested which are capable of reproducing recent lattice data at higher quark masses [54,55] for the quark dressing functions M and A [56][57][58].…”

Section: Effective Quark-gluon Interactionmentioning

confidence: 99%

A covariant view on the nucleons’ quark core

et al. 2008

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Established results for the quark propagator in Landau gauge QCD, together with a detailed comparison to lattice data, are used to formulate a Poincaré-covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes describe the quark core of the nucleon. The nucleon's mass and its electromagnetic form factors are calculated as functions of the current quark mass. The corresponding results together with charge radii and magnetic moments are discussed in connection with the contributions from various ingredients in a consistent calculation of nucleon properties, as well as the role of the pion cloud in such an approach.

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Mind the gap

Cited by 10 publications

References 47 publications

Structure of vector mesons in a holographic model with linear confinement

Structure of vector mesons in a holographic model with linear confinement

Form factors and wave functions of vector mesons in holographic QCD

A covariant view on the nucleons’ quark core

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