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

Abstract

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, $g_T^8$, is of order $1/N_c$ with respect to the octet isovector tensor charge, $g_T^3$. 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 $axial$ charges, $g_A^8$ and $g_A^3$. (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, $g_T^0$, is of order $1/N_c$ with respect to $g_T^3$.

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

Cited by in corpus (7)

• The Nucleon's Tensor Charge
• Comparative analysis of the transversities and the longitudinally polarized distribution functions of the nucleon
• Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon
• New Sum Rules for Nucleon Tensor Charges
• Tensor form factors of the octet hyperons in QCD
• Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory
• Isovector and isoscalar tensor form factors of $N(1535)\to N$ transition in light-cone QCD