Exploring the mass spectrum and electromagnetic property of the ₂₂K^ (*) and ₂₂K^ (*) molecules

Using the one-boson-exchange model, we investigate the interactions between the doubly charmed baryon ₂₂ (3621) and the S-wave (anti-) kaon accounting for the S-D wave mixing and coupled-channel effects. We find the coupled ₂₂K/₂₂K^* state with I (JP) =0 (1/2^-), the ₂₂K^* state with 0 (1/2^-), the ₂₂K state with 0 (1/2^-), and the ₂₂K^* states with 0 (1/2^-, 3/2^-) can be recommended as good doubly charmed molecular candidates with strangeness |S|=1. We further examine their M1 radiative decay behaviors and magnetic moments within the constituent quark model framework. This information can enhance our understanding of their inner structures, including the distribution of electric charge and the orientation of the constituent quarks' spins.