Analytical perturbation theory and nucleon structure function in infrared region

The recent measurement of quark-hadron duality is shortly discussed by using a simple constituent quark model. Comparing with the moments of the structure functions in the resonance region and in the deep inelastic scattering region, we study the occurances of Bloom-Gilman quark-hadron duality for the nucleon structure function F2 and g1. Local duality is also analyzed.

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EFFECT DUE TO COMPOSITENESS OF NUCLEONS IN DEEP INELASTIC LEPTON NUCLEUS SCATTERING

International Journal of Modern Physics E ◽

10.1142/s0218301392000345 ◽

1992 ◽

Vol 01 (04) ◽

pp. 809-821 ◽

Cited By ~ 4

Author(s):

BO-QIANG MA

Keyword(s):

Structure Function ◽

Nuclear Structure ◽

Light Cone ◽

Degrees Of Freedom ◽

Structure Functions ◽

Nucleon Structure ◽

Nucleon Structure Function ◽

Nucleus Scattering ◽

Quark Structure ◽

Nuclear Structure Functions

The off-shell behaviors of bound nucleons in deep inelastic lepton nucleus scattering are discussed in two scenarios with the basic constituents chosen to be baryon-mesons and quark-gluons respectively in light-cone formalism. It is found that when taking into account the effect due to internal quark structure of nucleons, the derived scaling variable for bound nucleons and the calculated nuclear structure functions are different from those in considering the baryon-mesons as the effective elementary constituents. This implies that the pure baryon-meson descriptions of nuclei give the inaccurate off-shell behavior of the bound nucleon structure function, thereby the quark-gluons seem to be the most appropriate degrees of freedom for nuclear descriptions.

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Prescriptions for the scaling variable of the nucleon structure function in nuclei

Physics of Atomic Nuclei ◽

10.1134/s1063778807120149 ◽

2007 ◽

Vol 70 (12) ◽

pp. 2131-2137

Author(s):

V. I. Ryazanov ◽

B. L. Birbrair ◽

M. G. Ryskin

Keyword(s):

Structure Function ◽

Nucleon Structure ◽

Nucleon Structure Function

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A NONEXTENSIVE STATISTICAL MODEL FOR THE NUCLEON STRUCTURE FUNCTION

International Journal of Modern Physics E ◽

10.1142/s0218301313500444 ◽

2013 ◽

Vol 22 (07) ◽

pp. 1350044 ◽

Cited By ~ 2

Author(s):

LUIS AUGUSTO TREVISAN ◽

CARLOS MIREZ

Keyword(s):

Energy Distribution ◽

Statistical Model ◽

Structure Function ◽

Effective Temperature ◽

Nucleon Structure ◽

Tsallis Statistics ◽

Chemical Potentials ◽

Nucleon Structure Function ◽

Nonextensive Thermodynamics ◽

Bose Einstein

We studied an application of nonextensive thermodynamics to describe the structure function of nucleon, in a model where the usual Fermi–Dirac and Bose–Einstein energy distribution were replaced by the equivalent functions of the q-statistical. The parameters of the model are given by an effective temperature T, the q parameter (from Tsallis statistics), and two chemical potentials given by the corresponding up (u) and down (d) quark normalizations in the nucleon.

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EXPLICIT MODEL REALIZING PARTON–HADRON DUALITY

International Journal of Modern Physics A ◽

10.1142/s0217751x12501576 ◽

2012 ◽

Vol 27 (26) ◽

pp. 1250157 ◽

Cited By ~ 1

Author(s):

LÁSZLÓ L. JENKOVSZKY ◽

VOLODYMYR K. MAGAS ◽

J. TIMOTHY LONDERGAN ◽

ADAM P. SZCZEPANIAK

Keyword(s):

Structure Function ◽

Veneziano Model ◽

Nucleon Structure ◽

Explicit Model ◽

Pedagogical Model ◽

Nucleon Structure Function ◽

Mandelstam Analyticity ◽

Hadron Duality

We present a model that realizes both resonance-Regge (Veneziano) and parton–hadron (Bloom–Gilman) duality. We first review the features of the Veneziano model and we discuss how parton–hadron duality appears in the Bloom–Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleon structure function F2(x, Q2). We explicitly show that the resulting structure function realizes both Veneziano and Bloom–Gilman duality.

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