Abstract

We extract the isovector tensor nucleon form factors, which play an important role in understanding the transverse spin structure of the nucleon when related to the quark helicity-flip generalized parton distributions via their first moments. We employ the light-cone QCD sum rules to leading order in QCD and include distribution amplitudes up to twist 6 in order to calculate the three tensor form factors HT, ET and H˜T. Our results agree well with those from other approaches in the low and high momentum-transfer regions.

Highlights

  • We extract the isovector tensor nucleon form factors, which play an important role in understanding the transverse spin structure of the nucleon when related to the quark helicity-flip generalized parton distributions via their first moments

  • At the twist-two level the quark structure of the nucleon can be described by three quark distribution functions f q 1 (x), g1q(x) and hq1(x), where q is the corresponding quark

  • A more general description of the nucleon structure is given by eight generalized parton distributions (GPD): Two chiral-even spin-independent distributions, H and E, two chiral-even spin-dependent distributions, Hq and Eq and four chiral-odd spin-dependent distributions, H

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Summary

Tensor form factors of nucleon in QCD

Güray Erkol a,∗, Altug Ozpineci b a Laboratory for Fundamental Research, Ozyegin University, Kusbakisi Caddesi No 2 Altunizade, Uskudar Istanbul 34662, Turkey b Physics Department, Middle East Technical University, 06531 Ankara, Turkey article info. We extract the isovector tensor nucleon form factors, which play an important role in understanding the transverse spin structure of the nucleon when related to the quark helicity-flip generalized parton distributions via their first moments. The unpolarized distribution, f (x), and the spin-dependent helicity distribution, g1q(x), give a measure of quark contribution to longitudinal momentum and the net helicity of a nucleon. These two chiral-even distribution functions are well-known quantities, which can be extracted from inclusive deep-inelastic scattering data. The transversity distribution, hq1(x), measures the net density of quarks having parallel polarization to that of the transversely polarized nucleon. A more general description of the nucleon structure is given by eight generalized parton distributions (GPD): Two chiral-even spin-independent distributions, H and E, two chiral-even spin-dependent distributions, Hq and Eq and four chiral-odd spin-dependent distributions, H q T

Hq T and
Gμν σ μν υxμGμν γ ν i
Form factor HT
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