The QCD sum rules for spin-dependent nucleon-nucleon (NN) and hyperon-nucleon (YN) interactions are formulated and their physical implications are clarified. A dispersion integral around the nucleon threshold can be identified as a measure of interaction strength. Calculating the operator product expansion (OPE) of the correlation function, we have found that the spin-dependent operators are related to the axial and tensor charges. The obtained sum rules relate the interaction strengths to the nucleon matrix elements of the quark-gluon operators. The spin-dependent parts are smaller than the spin-independent parts in the NN and the YN channels. The spin-independent NN interaction strength is greater than the spin-independent YN interaction strengths. The results are consistent with the empirical result in the NN channel.
Let us consider the following correlation function of the nucleon: the spin-independent parts in the NN and the YN channels. The spin-independent NN interaction strength is greater than the spin-independent YN interaction strengths. The calculated results are consistent with the empirical results in the NN channel.