Quark-Hadron Duality

Jeschonnek, Sabine; Orden, J. W. Van

doi:10.1142/9789812704887_0019

Cited by 8 publications

(13 citation statements)

References 21 publications

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“…In contrast to Refs. [11,12] who find that FSI have no effect on the structure functions, and therefore also conclude that Bjorken scaling applies to systems of interacting constituents, the present model does not reproduce the parton model results when FSI are taken into account.…”

Section: Discussionmentioning

confidence: 54%

Electromagnetic response of confined Dirac particles

Paris

2003

Phys. Rev. C

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The eigenstates of a single massless Dirac particle confined in a linear potential are calculated exactly by direct solution of the Dirac equation. The electromagnetic structure functions are calculated from the Dirac wave functions of the ground and excited states of the particle by coupling to its conserved vector current. We obtain the longitudinal and transverse structure functions as a function ofỹ = ν − |q|, where ν and |q| are the energy and momentum transferred to the target in its rest frame. At values of |q| 2.5 GeV, much larger than the characteristic energy scale ∼ 440 MeV of the confining potential, the response exhibitsỹ scaling, a generalization of Bjorken scaling. We compare the exact structure functions with those obtained from the ground state wave functions in the plane wave impulse approximation. The deviation from the Callan-Gross relation is compared with the parton model prediction.

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Section: Discussionmentioning

confidence: 54%

Electromagnetic response of confined Dirac particles

Paris

2003

Phys. Rev. C

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“…The distances relevant for FSI can be investigated in more detail by considering FSI in the eikonal approximation [42,44,43,46,45,34,47,48].…”

Section: Fsi In Src and Generalized Eikonal Approximationmentioning

confidence: 99%

Recent Observation of Short-Range Nucleon Correlations in Nuclei and Their Implications for the Structure of Nuclei and Neutron Stars

Frankfurt

Sargsian

Strikman

2008

Int. J. Mod. Phys. A

167

232

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Novel processes probing the decay of nucleus after removal of a nucleon with momentum larger than Fermi momentum by hard probes finally proved unambiguously the evidence for long sought presence of short-range correlations (SRCs) in nuclei. In combination with the analysis of large Q 2 , A(e,e')X processes at x > 1 they allow us to conclude that (i) practically all nucleons with momenta ≥ 300 MeV/c belong to SRCs, consisting mostly of two nucleons, ii) probability of such SRCs in medium and heavy nuclei is ∼ 25%, iii) a fast removal of such nucleon practically always leads to emission of correlated nucleon with approximately opposite momentum, iv) proton removal from twonucleon SRCs in 90% of cases is accompanied by a removal of a neutron and only in 10% by a removal of another proton. We explain that observed absolute probabilities and the isospin structure of two nucleon SRCs confirm the 1 arXiv:0806.4412v2 [nucl-th] 4 Sep 2008important role that tensor forces play in internucleon interactions. We find also that the presence of SRCs requires modifications of the Landau Fermi liquid approach to highly asymmetric nuclear matter and leads to a significantly faster cooling of cold neutron stars with neutrino cooling operational even for N p /N n ≤ 0.1. The effect is even stronger for the hyperon stars. Theoretical challenges raised by the discovered dominance of nucleon degrees of freedom in SRCs and important role of the spontaneously broken chiral symmetry in quantum chromodynamics (QCD) in resolving them are considered. We also outline directions for future theoretical and experimental studies of the physics relevant for SRCs.

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“…To answer the question of the nature of a dual description, two complementary approaches have been adopted. The first is the nonperturbative model's view on the scaling of the structure functions at low-energies [27][28][29]; the second approach consists in a perturbative analysis [9,10,30], that through LxR provides a scenario by which the effect of HTs can be suppressed in a fully quantitative fit at large x. It is this second approach that we will follow in this paper.…”

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confidence: 99%

Extraction of αs from deep inelastic scattering at large x

Courtoy

Liuti

2013

Physics Letters B

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We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to each other, a unified description might derive through the definition of the effective coupling, as they both provide ways of analyzing its freezing at low values of the scale. We extract the effective coupling from all available experimental data on the unpolarized structure function of the proton, F p 2 , at large values of Bjorken x, including the resonance region. We suggest that parton-hadron duality observed in this region can be explained if nonperturbative effects are included in the coupling constant. The outcome of our analysis is a smooth transition from perturbative to nonperturbative QCD physics, embodied in the running of the coupling constant at intermediate scales.

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Quark-Hadron Duality

Cited by 8 publications

References 21 publications

Electromagnetic response of confined Dirac particles

Electromagnetic response of confined Dirac particles

Recent Observation of Short-Range Nucleon Correlations in Nuclei and Their Implications for the Structure of Nuclei and Neutron Stars

Extraction of αs from deep inelastic scattering at large x

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