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Nucleon Tensor Charges in the Chiral Quark--Soliton Model

Hyun-Chul Kim·M. V. Polyakov·K. Goeke
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Abstract

We investigate the singlet $g_T^{(0)}$ and isovector $g_T^{(3)}$ tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution $h_1(x)$, in the chiral quark-soliton model. With rotational $O(1/N_c) $ corrections taken into account, we obtain $g_T^{(0)}=0.69$ and $g_T^{(3)}=1.45$ at a low normalization poin of several hundreds MeV. Within the same approximation and parameters the model yields $g_A^{(0)}=0.36$, $g_A^{(3)}=1.21$ for axial charges and correct octet--decuplet mass splitting. We show how the chiral quark-soliton model interpolates between the nonrelativistic quark model and the Skyrme model.

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Hyun-Chul Kim, M. V. Polyakov, K. Goeke. 1995-12-19. Nucleon Tensor Charges in the Chiral Quark--Soliton Model. https://arxiv.org/abs/hep-ph/9512351

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