Аннотация:We introduce the association-dissociation model of neutral hydrogen molecule, which is a finitedimensional cavity quantum electrodynamics model of chemistry with two two-level artificial atomson quantum dots placed in optical cavities, based on the Tavis-Cummings-Hubbard model. Themotion of the nuclei can be represented in quantum form. Electron spin transition and spin-spininteraction between electron and nucleus are both considered. Consideration is also given to theeffects of nuclear and electron spins on the formation of neutral hydrogen molecule.