KK̄N and K̄K̄N Molecular States with I = 1/2, 3/2 and J P = 1/2 + Studied with Three-Body Faddeev Calculations

Using the Akaishi—Yannazaki (AY) and Hyodo—Weise (HW) effective K, N, and KN interactions, we study possible existence of KN and N molecule states with I = 1/2,3/2 and JP = 1/2+ by means of three-body Faddeev equations. We find that for HW potential, KN and N systems with I = 1/2 both are bound hadron molecular states with about 10 MeV binding energy. The relativistic effects of kinetic energy are of the order of 4–5 MeV. AY potential would give larger binding energy because of overestimating N interaction strength. Although there are attractive interactions in the case of I = 3/2, the interaction is too weak to bind the systems.