Chiral-odd transversity spin structure function $h_1(x)$ of the nucleon in a constituent quark model

K. Suzuki; T. Shigetani

doi:10.1016/S0375-9474(97)00490-9

paper

Chiral-odd transversity spin structure function $h_{1} (x)$ of the nucleon in a constituent quark model

arXiv:hep-ph/9709394 · doi:10.1016/S0375-9474(97)00490-9

Abstract

We study the chiral-odd transversity spin-dependent quark distribution function $h_{1} (x)$ of the nucleon in a constituent quark model. The twist-2 structure functions, $f_{1} (x)$ , $g_{1} (x)$ and $h_{1} (x)$ are calculated within the diquark spectator approximation. Whereas an inequality $f_{1} (x) > h_{1} (x) > g_{1} (x)$ holds with the interaction between quark and diquark being scalar, the axial-vector effective quark-diquark interaction, which contributes to the $d$ -quark distribution, does not lead to such a simple relation. We find that $h_{1} (x)$ for the $d$ -quark becomes somewhat smaller than $g_{1}^{d} (x)$ , when we fix the model parameter to reproduce known other structure functions. We also include corrections due to the non-trivial structure of the constituent quark, which is modeled by the Goldstone boson dressing. This improves agreements of $f_{1} (x)$ and $g_{1} (x)$ with experiments, and brings further reduction of $h_{1}^{d} (x)$ distribution. Consequences for semi-inclusive experiments are also discussed.

33 pages, latex with 13 figures, to appear in Nuclear Physics A, PostScript file is also available at http://WWW.physik.tu-muenchen.de/~ksuzuki/publication.html

Chiral-odd transversity spin structure function h1​(x) of the nucleon in a constituent quark model

Abstract

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Chiral-odd transversity spin structure function $h_{1} (x)$ of the nucleon in a constituent quark model