Sum rules for forward virtual compton scattering

Burkhardt, Hugh; Cottingham, W. N.

doi:10.1016/0003-4916(70)90025-4

Cited by 324 publications

(282 citation statements)

References 15 publications

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“…The HERMES data is consistent with previous measurements, but not sufficiently precise to make conclusions about potential deviations from twist-2 behaviour. The results for g 2 are consistent with the CottinghamBurkardt sum rule [5], which states that for sufficiently large Q 2 the integral of g 2 over x should be zero.…”

Section: Resultssupporting

confidence: 81%

Physics updates from HERMES

Murray¹,

Collaboration²

2013

AIP Conference Proceedings

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Abstract. The HERMES collaboration presents two sets of recent results: the first related to an extraction of the g 2 nucleon structure function determined for DIS on a polarised target and the second related to the measurement of asymmetries related to the deeply virtual Compton scattering process that can be used to discover information on generalised parton distributions and hence nucleon structure.

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Section: Resultssupporting

confidence: 81%

Physics updates from HERMES

Murray¹,

Collaboration²

2013

AIP Conference Proceedings

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“…The leading order term originates from the lower limit of the integrals in Eqs. (18) and (19) if ν 0 ≃ m π → 0. In that limit the threshold amplitudes [35] for charged pion production are E thr 0 + (π + ) = 2L thr 0 + (π + ).…”

Section: Resultsmentioning

confidence: 99%

“…For the second spin structure function the Burkhardt-Cottingham (BC) sum rule asserts that the integral over g 2 vanishes if integrated over both elastic and inelastic contributions [19]. As a consequence one finds…”

Section: Formalismmentioning

confidence: 99%

Gerasimov-Drell-Hearn sum rule and related integrals

2001

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The spin structure of the nucleon resonance region is analyzed on the basis of our phenomenological model MAID. Predictions are given for the Gerasimov-Drell-Hearn sum rule as well as generalized integrals over spin structure functions. The dependence of these integrals on momentum transfer is studied and rigorous relationships between various definitions of generalized Gerasimov-Drell-Hearn integrals and spin polarizabilities are derived. These results are compared to the predictions of chiral perturbation theory and phenomenological models.

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“…It is the well-known Burkhardt-Cottingham sum rule [13], derived independently by Schwinger [14], using a rather different method. It states that…”

mentioning

confidence: 99%

Bjorken sum rule at low Q2

Soffer¹,

Teryaev²

2002

Physics Letters B

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A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function g T features a smooth Q 2 −dependence, while the structure function g 2 is changing rapidly, due to the elastic contribution to the Burkhardt-Cottingham sum rule. A possible violation of this later sum rule is briefly discussed.

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Sum rules for forward virtual compton scattering

Cited by 324 publications

References 15 publications

Physics updates from HERMES

Physics updates from HERMES

Gerasimov-Drell-Hearn sum rule and related integrals

Bjorken sum rule at low Q2

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