Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model

Kao, Cheng−Yan; Drechsel, D.; Kamalov, S.S.; Vanderhaeghen, Marc

doi:10.1103/physrevd.69.056004

Cited by 19 publications

(31 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 13 compares the recent data of the JLab E94-010 Collaboration [117] for d n 2 (Q 2 ) to the predictions of MAID and heavy baryon ChPT [124]. The observed value of order 10 −3 is in agreement with theory.…”

Section: Generalized Polarizabilities and Higher Twistssupporting

confidence: 70%

See 1 more Smart Citation

The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon

Drechsel

Tiator

2004

Annu. Rev. Nucl. Part. Sci.

View full text Add to dashboard Cite

The Gerasimov-Drell-Hearn sum rule is one of several dispersive sum rules that connect the Compton scattering amplitudes to the inclusive photoproduction cross sections of the target under investigation. Being based on such universal principles as causality, unitarity, and gauge invariance, these sum rules provide a unique testing ground to study the internal degrees of freedom that hold the system together. The present article reviews these sum rules for the spin-dependent cross sections of the nucleon by presenting an overview of recent experiments and theoretical approaches. The generalization from real to virtual photons provides a microscope of variable resolution: At small virtuality of the photon, the data sample information about the long range phenomena, which are described by effective degrees of freedom (Goldstone bosons and collective resonances), whereas the primary degrees of freedom (quarks and gluons) become visible at the larger virtualities. Through a rich body of new data and several theoretical developments, a unified picture of virtual Compton scattering emerges, which ranges from coherent to incoherent processes, and from the generalized spin polarizabilities on the low-energy side to higher twist effects in deep inelastic lepton scattering.

show abstract

Section: Generalized Polarizabilities and Higher Twistssupporting

confidence: 70%

“…[126] on the basis of the SLAC data [127]. A more recent phenomenological analysis [124] based on all the available proton data has extracted a twist-4 matrix element f 2 ≫ d 2 . From this relation and Eq.…”

Section: Generalized Polarizabilities and Higher Twistsmentioning

confidence: 99%

The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon

Drechsel

Tiator

2004

Annu. Rev. Nucl. Part. Sci.

View full text Add to dashboard Cite

show abstract

“…The δ LT -puzzle was first observed in the HB variant of χPT [31,33,34], which invokes an additional semi-relativistic expansion, in the inverse nucleon mass. Evidently, this expansion works poorly for these quantities: compare the HB (blue dashed) curves, which only for δ LT [26].…”

Section: Resultsmentioning

confidence: 99%

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory

2014

View full text Add to dashboard Cite

We obtain leading-and next-to-leading order predictions of chiral perturbation theory for several prominent moments of nucleon structure functions. These free-parameter free results turn out to be in overall agreement with the available empirical information on nearly all of the considered moments, in the region of low-momentum transfer (Q 2 < 0.3 GeV 2 ). Especially surprising is the situation for the spin polarizability δ LT , which thus far was not reproducible in chiral perturbation theory for proton and neutron simultaneously. This problem, known as the "δ LT puzzle," is not seen in the present calculation.

show abstract

“…[24]). This clearly illustrates the influence of the JLab E94-010 data, which suggest a negative trend in ∆Γ…”

mentioning

confidence: 99%

Higher twists and color polarizabilities in the neutron

et al. 2005

View full text Add to dashboard Cite

Color polarizabilities of the neutron are extracted from data on the lowest moment of the spindependent g 1 structure function. New data in the resonance region from Jefferson Lab at Q 2 1 GeV 2 , in combination with world data at higher Q 2 , allow a systematic determination of the 1/Q 2 corrections, and provide the first constraints on 1/Q 4 corrections. The results suggest that higher-twist effects in the neutron are small, and that quark-hadron duality may be approximately valid, even down to Q 2 ∼ 1 GeV 2 .

show abstract

Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model

Cited by 19 publications

References 51 publications

The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon

The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory

Higher twists and color polarizabilities in the neutron

Contact Info

Product

Resources

About