The Nucleon ``Tensor Charges'' and the Skyrme Model

Details The Nucleon ``Tensor Charges'' and the Skyrme Model The Nucleon ``Tensor Charges'' and the Skyrme Model

1992-07-30

arxiv.org/abs/hep-ph/9207274v1

Phys.Rev. D47 (1993) 2136-2139

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 single-spaced pages, no figures, MIT-CTP-2122

Scientific paper

10.1103/PhysRevD.47.2136

The lowest moment of the twist-two, chiral-odd parton distribution $h_1(x)$ of the nucleon can be related to the so-called ``tensor charges'' of the nucleon. We consider the tensor charges in the Skyrme model, and find that in the large-$N_c$, SU(3)-symmetric limit, the model predicts that the octet isosinglet tensor charge, $g^8_T$, is of order $1/N_c$ with respect to the octet isovector tensor charge, $g^3_T$. The predicted $F/D$ ratio is then 1/3, in the large-$N_c$ limit. These predictions coincide with the Skyrme model predictions for the octet ${\it axial}$ charges, $g^8_A$ and $g^3_A$. (The prediction $F/D=1/3$ for the axial charges differs from the commonly quoted prediction of 5/9, which is based on an inconsistent treatment of the large-$N_c$ limit.) The model also predicts that the singlet tensor charge, $g^0_T$, is of order $1/N_c$ with respect to $g^3_T$.

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