Nucleon tensor charges in the SU(2) chiral quark-soliton model

We investigate the singlet $g_T^{\mathrm{}\left(0\right)\mathrm{}}$ and isovector $g_T^{\mathrm{}\left(3\right)\mathrm{}}$ tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution $h_1\mathrm{}\left(x\right)\mathrm{}$, in the SU(2) chiral quark-soliton model. With rotational $O\left(\frac{1}{N_c}\right)$ corrections taken into account, we obtain $g_T^{\mathrm{}\left(0\right)\mathrm{}}=0.69\mathrm{}$ and $g_T^{\mathrm{}\left(3\right)\mathrm{}}=1.45\mathrm{}$ at a low normalization point of several hundreds MeV. Within the same approximation and parameters the model yields $g_A^{\mathrm{}\left(0\right)\mathrm{}}=0.36\mathrm{}$, $g_A^{\mathrm{}\left(3\right)\mathrm{}}=1.21\mathrm{}$ for axial charges and a correct octet-decuplet mass splitting. We show how the chiral quark-soliton model interpolates between the nonrelativistic quark model and the Skyrme model.