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### Target independence of the EMC-SMC effect

Stephan Narison, G. Veneziano, Graham Shore

Nuclear Physics B, Volume: "B433", Issue: 1, Pages: 209 - 233

Swansea University Author:

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DOI (Published version): 10.1016/0550-3213(94)00329-D

Abstract

\noindent{\bf Abstract} \vskip0.2cm \noindent An approach to deep inelastic scattering is described in which the matrix elements arising from the operator product expansion are factorised into composite operator propagators and proper vertex functions. In the case of polarised $\m p$ scattering, the...

Full description

Published in: Nuclear Physics B 05503213 1994 https://cronfa.swan.ac.uk/Record/cronfa31911 No Tags, Be the first to tag this record!
Abstract: \noindent{\bf Abstract} \vskip0.2cm \noindent An approach to deep inelastic scattering is described in which the matrix elements arising from the operator product expansion are factorised into composite operator propagators and proper vertex functions. In the case of polarised $\m p$ scattering, the composite operator propagator is identified with the square root of the QCD topological susceptibility $\sqrt{\chi~{\prime}(0)}$, while the corresponding proper vertex is a renormalisation group invariant. We estimate $\chi~{\prime}(0)$ using QCD spectral sum rules and find that it is significantly suppressed relative to the OZI expectation. Assuming OZI is a good approximation for the proper vertex, our predictions, $\int_{0}~{1}dx g_1~p (x;Q~2=10\GV~2)= 0.143 \pm 0.005$ and $G~{(0)}_A \equiv \Delta \Sigma = 0.353 \pm 0.052$, are in excellent agreement with the new SMC data. This result, together with one confirming the validity of the OZI rule in the $\hp$ radiative decay, supports our earlier conjecture that the suppression in the flavour singlet component of the first moment of $g_1~p$ observed by the EMC-SMC collaboration is a target-independent feature of QCD related to the $U(1)$ anomaly and is not a property of the proton structure. As a corollary, we extract the magnitude of higher twist effects from the neutron and Bjorken sum Faculty of Science and Engineering 1 209 233