Skip to main content

Research Repository

Advanced Search

Comparison of the Gottfried and Adler sum rules within the large-Nc expansion

Broadhurst, D.J.; Kataev, A.L.; Maxwell, C.J.

Authors

D.J. Broadhurst

A.L. Kataev

C.J. Maxwell



Abstract

The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleon and is hence exact. By contrast, the corresponding Gottfried sum rule for charged lepton scattering was based merely on a valence picture and is modified both by perturbative and by non-perturbative effects. Noting that the known perturbative corrections to two-loop order are suppressed by a factor 1/Nc2, relative to those for higher moments, we propose that this suppression persists at higher orders and also applies to higher-twist effects. Moreover, we propose that the differences between the corresponding radiative corrections to higher non-singlet moments in charged-lepton and neutrino deep inelastic scattering are suppressed by 1/Nc2, in all orders of perturbation theory. For the first moment, in the Gottfried sum rule, the substantial discrepancy between the measured value and the valence-model expectation may be attributed to an intrinsic isospin asymmetry in the nucleon sea, as is indeed the case in a chiral-soliton model, where the discrepancy persists in the limit Nc→∞.

Citation

Broadhurst, D., Kataev, A., & Maxwell, C. (2004). Comparison of the Gottfried and Adler sum rules within the large-Nc expansion. Physics Letters B, 590(1-2), 76-85. https://doi.org/10.1016/j.physletb.2004.03.059

Journal Article Type Article
Publication Date Jun 1, 2004
Deposit Date May 12, 2008
Publicly Available Date Mar 29, 2024
Journal Physics Letters B
Print ISSN 0370-2693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 590
Issue 1-2
Pages 76-85
DOI https://doi.org/10.1016/j.physletb.2004.03.059
Keywords Unpolarized structure functions, Gottfried sum rule, Large-Nc limit.
Publisher URL http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2004PhLB..590...76B&db_key=PHY

Files





You might also like



Downloadable Citations