Sum rule for deep-inelastic electroproduction from polarized protons

Ellis, Jonathan Richard; Jaffe, R.L.

doi:10.1103/physrevd.9.1444

Cited by 514 publications

(410 citation statements)

References 7 publications

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“…These results are at variance with the Ellis{Ja e assumption of a s = 0 and the prediction a 0 = 3 F D = 0 : 579 0:025 [35]. The Ellis{Ja e sum rule predicts d 1 = 0 : 071 0:003 at Q 2 0 = 1 0 GeV 2 , which is 3.7 standard deviations above our measurement.…”

contrasting

confidence: 54%

The spin-dependent structure function g1(x) of the deuteron from polarized deep-inelastic muon scattering

Adams¹,

Adeva²,

Akdoğan³

et al. 1997

Physics Letters B

101

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contrasting

confidence: 54%

The spin-dependent structure function g1(x) of the deuteron from polarized deep-inelastic muon scattering

Adams¹,

Adeva²,

Akdoğan³

et al. 1997

Physics Letters B

101

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“…It is the fact that a 0 is much less than a 8 , as would be predicted on the basis of the simple quark model (the Ellis-Jaffe sum rule [39]), that is known as the 'proton spin' problem. For a careful analysis of the distinction between the angular momentum (spin) of the proton and the axial coupling a 0 , see however refs.…”

Section: Pseudoscalar Meson Couplings Of the Nucleon And The U(1) A Gmentioning

confidence: 97%

Pseudoscalar meson decay constants and couplings, the Witten–Veneziano formula beyond large , and the topological susceptibility

Shore

2006

Nuclear Physics B

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The QCD formulae for the radiative decays η, η ′ → γγ, and the corresponding Dashen-Gell-Mann-Oakes-Renner relations, differ from conventional PCAC results due to the gluonic U (1) A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit our earlier theoretical analysis of radiative pseudoscalar decays and the DGMOR relations and extract explicit experimental values for the decay constants. This is our main result. The flavour singlet DGMOR relation is the generalisation of the Witten-Veneziano formula beyond large N c , so we are able to give a quantitative assessment of the realisation of the 1/N c expansion in the U (1) A sector of QCD. Applications to other aspects of η ′ physics, including the relation with the first moment sum rule for the polarised photon structure function g γ 1 , are highlighted. The U (1) A Goldberger-Treiman relation is extended to accommodate SU (3) flavour breaking and the implications of a more precise measurement of the η and η ′ -nucleon couplings are discussed. A comparison with the existing literature on pseudoscalar meson decay constants using large-N c chiral Lagrangians is also made.

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“…The discovery of the disagreement between the combined EMC-SLAC data [1,2] and the constituent quark model expectation [3] 1 0 dxg p 1 (x, Q 2 ) ≈ 0.15|g A | attracted a lot of attention and triggered intensive research in the field of polarized deep inelastic scattering. More recently, deuterium scattering data of the SMC [4] and of the E143 [5] collaborations, and 3 He scattering data of the E142 [6] and E154 [7] collaborations also allowed the determination of the neutron sum rule 1 0 dxg n 1 (x, Q 2 ) and the Bjorken sum rule [8] 1 0 dx[g p 1 (x, Q 2 ) − g n 1 (x, Q 2 )]. At present the Bjorken sum rule is confirmed at the 8% level [9] which is an important experimental test of Quantum Chromodynamics.…”

mentioning

confidence: 99%