Pion and Nucleon Structure Functions near x = 1

Creators: Farrar, Glennys R.; Jackson, Darrell R.

Abstract

In a colored-quark and vector-gluon model of hadrons we show that a quark carrying nearly all the momentum of a nucleon (x≈1) must have the same helicity as the nucleon; consequently νW^2_n/νW^p_2→(3/7) as x→1, not (2/3) as might naively have been expected. Furthermore as x→1, νW^(π)_2∼(1-x)^2 and (σ_(L)/σ_(T))π∼μ^(2)Q^(-2)(1-x)^(-2)+O(g^2); the resulting angular dependence for e^(+)e^(-)→h^(±)+ X is consistent with present data and has a distinctive form which can be easily tested when better data are available.

Additional Information

© 1975 The American Physical Society. Received 4 August 1975; published in the issue dated 24 November 1975. We have benefitted throughout this work from the provocative questions and perceptive observations of R. P. Feynman, who encouraged us to do the detailed calculations which show that a leading quark has the same helicity as the nucleon. Adam Schwimmer participated in an intermediate stage of this work, and provided valuable stimulation which we greatly appreciate. Work supported in part by the U. S. Energy Research and Development Administration under Contract No. AT(11-1)-68.

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