Nucleon structure functions, resonance form factors, and duality

Davidovsky, V. V.; Struminsky, B. V.

doi:10.1134/1.1592587

Cited by 4 publications

(6 citation statements)

References 12 publications

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“…The latter case is important in clarifying the puzzle of how the square of the sum of quark charges (coherent scattering) can yield the sum of the squares of quark charges (incoherent scattering). a. Resonance Parameterizations A phenomenological model of the structure functions in the resonance region was constructed recently by Davidovsky & Struminsky [218], in the spirit of the earlier work of Domokos et al [212][213][214], but with additional physical constraints for the threshold behavior as q → 0, and the asymptotic behavior as…”

Section: Resonances and The Transition To Scalingmentioning

confidence: 99%

“…where ǫ µ (m) is the photon polarization vector for helicity m (m = 0, ±), and λ R = m − 1/2 is the helicity of the resonance R, the contributions to the spin-averaged F 1 and F 2 and spin-dependent g 1 and g 2 structure functions of the nucleon can be written [218,219] as…”

Section: Resonances and The Transition To Scalingmentioning

confidence: 99%

“…Using in addition the known constraints from the | q | → 0 behavior of the form factors at threshold, and the value at the photon point, Q 2 = 0, the form factors were parameterized in Refs. [218,220] as…”

Section: Resonances and The Transition To Scalingmentioning

confidence: 99%

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Quark–hadron duality in electron scattering

2005

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Abstract. Quark-hadron duality addresses some of the most fundamental issues in strong interaction physics, in particular the nature of the transition from the perturbative to non-perturbative regions of QCD. I summarize recent developments in quarkhadron duality in lepton-hadron scattering, and outline how duality can be studied at future high-luminosity facilities such as Jefferson Lab at 12 GeV or an electron-hadron collider such as EPIC. I INTRODUCTIONUnderstanding the structure and interaction of hadrons in terms of the quark and gluon degrees of freedom of QCD is the greatest unsolved problem of the Standard Model of nuclear and particle physics. If one accepts QCD as the correct theory of the strong interactions, then the transition from quark-gluon to hadron degrees of freedom should in principle amount to a change of basis, with all physical quantities independent of which basis is used. However, although the duality between quark and hadron descriptions is formally exact, in practice the necessity of truncating any Fock state expansion means that the extent to which duality holds reflects the validity of the truncations under different kinematical conditions and in different physical processes. Quark-hadron duality is therefore an expression of the relationship between confinement and asymptotic freedom, and is intimately related to the nature of the transition from non-perturbative to perturbative QCD.In nature, the phenomenon of duality is in fact quite general and can be studied in a variety of processes, such as e + e − → hadrons, or heavy quark decays [1]. One of the more intriguing examples, initially observed some 30 years ago, is in inclusive inelastic electron-nucleon scattering.

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Section: Resonances and The Transition To Scalingmentioning

confidence: 99%

Section: Resonances and The Transition To Scalingmentioning

confidence: 99%

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Quark–hadron duality in electron scattering

2005

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“…Before duality averaging procedures can be applied safely, we require a thorough understanding of where duality holds and how exact it is. Therefore, duality has been studied intensively by theorists during the past couple of years [18,20,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49]. Most of the theoretical studies focus on duality in electron scattering, due to the large experimental program.…”

Section: Introductionmentioning

confidence: 99%

Scaling of Dirac fermions and the WKB approximation

2005

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We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron duality. In this model, a light quark is bound to a heavy di-quark by a linear scalar potential. Absorption of virtual photons promotes the quark to bound states. The analog of the parton model for this case is for a virtual photon to eject the bound, ground-state quark directly into free continuum states. We compare the scaling limits of the response functions for these two transitions.

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“…Quark-hadron duality is a fascinating phenomenon that was first observed by Bloom and Gilman [1] more than 30 years ago. It is receiving plenty of attention today from both the experimentalist [2,3,4,5,6,7,8,9,10] and theorist [11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36] communities, due to an interest in duality itself, and due to the huge field of experimental applications of duality in kinematic regions that are very difficult to access without it.…”

Section: Introductionmentioning

confidence: 99%

Modeling quark-hadron duality in polarization observables

Jeschonnek

Orden

2005

Phys. Rev. D

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We apply a model for the study of quark-hadron duality in inclusive electron scattering to the calculation of spin observables. The model is based on solving the Dirac equation numerically for a scalar confining linear potential and a vector color Coulomb potential. We qualitatively reproduce the features of quark-hadron duality for all potentials considered, and discuss the onset of scaling and duality for the responses, spin structure functions, and polarization asymmetries. Duality may be applied to gain access to kinematic regions which are hard to access in deep inelastic scattering, namely for $x_{Bj} \to 1$, and we discuss which observables are most suitable for this application of duality

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Nucleon structure functions, resonance form factors, and duality

Cited by 4 publications

References 12 publications

Quark–hadron duality in electron scattering

Quark–hadron duality in electron scattering

Scaling of Dirac fermions and the WKB approximation

Modeling quark-hadron duality in polarization observables

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