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      Do gluons carry half of the nucleon momentum?

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          Abstract

          We examine the conventional picture that gluons carry about half of the nucleon momentum in the asymptotic limit. We reveal that this large fraction is due to an unsuitable definition of the gluon momentum in an interacting theory. If defined in a gauge-invariant and consistent way, the asymptotic gluon momentum fraction is computed to be only about one fifth. This result suggests that the asymptotic limit of the nucleon spin structure should also be reexamined. Possible experimental test of our finding is discussed in terms of novel parton distribution functions.

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          The Spin Structure of the Nucleon in the Asymptotic Limit

          , , (2010)
          In analogy to the Altarelli-Parisi equation for the quark and gluon helicity contributions to the nucleon spin, we derive an evolution equation for the quark and gluon orbital angular momenta. The solution of the combined equations yields the asymptotic fractions of the nucleon spin carried by quarks and gluons: \(3n_f/(16+3n_f)\) and \(16/(16+3n_f)\), respectively, where \(n_f\) is the number of active quark flavors. These are identical to the well-known asymptotic partitions of the nucleon momentum between quark and gluon contributions. We show that the axial-anomaly contribution to the quark helicity is cancelled by a similar contribution to the quark orbital angular momentum, making the total quark contribution to the nucleon spin anomaly-free.
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            Journal
            02 April 2009
            2009-08-20
            Article
            10.1103/PhysRevLett.103.062001
            0904.0321
            d9ee0b07-7909-43fe-ac83-f92f04f8226e

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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            Phys.Rev.Lett.103:062001,2009
            Final version published in Phys. Rev. Lett
            hep-ph

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