The recoil corrections, correlation functions and possible double-strange hadronic molecules

In this work, we perform a systematic investigation of K(*)K(*) interactions within a one-boson-exchange model. The framework incorporates both S−D wave mixing and coupled-channel effects, with effective potentials retained up to order O(1/M2). By solving the coupled channel Schrödinger equations, we can predict two double-strange molecular candidates: a KK* molecule with I(JP)=0(1+) and a K*K* molecule with 0(1+). Our results also show that the recoil corrections play a crucial role in the formation of these two molecular candidates. Furthermore, the S−D wave mixing effects contribute positively to the formation process. As a byproduct of this analysis, we extend our study to K(*)K¯(*) interactions with the same model. Our findings suggest that the KK¯* states with 0(1+−,1++) and K*K¯* states with 0(0++,1+−,2++) can be promising molecular candidates. Additionally, we analyze the correlations between the constituent mesons, the resulting correlation functions provide additional support for our predictions of both double-strange and strangonium-like molecular states.