Nucleon matrix elements of twist-3 and 4 operators from the instanton vacuum

Details Nucleon matrix elements of twist-3 and 4 operators from the instanton vacuum Nucleon matrix elements of twist-3 and 4 operators from the instanton vacuum

1999-01-26

arxiv.org/abs/hep-ph/9901425v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, LaTeX. Oral contribution to the 8th International Conference on the Structure of Baryons (Baryons '98), Bonn, Sep. 22

Scientific paper

The spin-dependent twist-3 and 4 nucleon matrix elements d^(2) and f^(2) describing power corrections to the Bjorken and Ellis-Jaffe sum rules are computed in the instanton vacuum. A systematic expansion in the small packing fraction of the instanton medium, rho / R << 1, is performed. We find that the twist-3 matrix element d^(2) is suppressed [of order (rho / R)^4], while the twist-4 matrix element f^(2) is of order unity. Numerically, d^(2) << f^(2). The small value of d^(2) \sim 10^{-3} obtained from instantons is consistent with the recent E143 measurements of the structure function g_2, where d^(2) enters at the same level as the twist-2 contribution.

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