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According to relativistic quantum mechanics, particles can be of negativekinetic energies (NKE). The author asserts in his previous works that the NKEsubstances are dark matters. Some NKE particles, say a pair of NKE electrons,can constitute a stable system by means of the repulsive interaction betweenthem. In the present work, two simplest three-particle systems areinvestigated. One consists of two NKE positrons and one NKE proton, called darkhydrogen anion. The other is composed of two NKE protons and one NKE positron,called dark hydrogen molecule cation. They are so named because theHamiltonians of them can correspond to those of the hydrogen anion and hydrogenmolecule cation. In evaluating the dark hydrogen molecule cation, the famousBorn-Oppenheimer approximation does not apply, i.e., the NKE of the protonscannot be neglected. Without the NKE, the system cannot be stable. Our studyreveals that in a NKE system, the particles with the same kind of electriccharge combine tightly. This is to enhance the repulsive Coulomb potential soas to raise the total energy as far as possible. A great amount of NKEparticles can compose a dense and dark macroscopic NKE body. Thus, it isconjectured that some remote dark celestial bodies may be NKE ones other thanthe well-known black holes. The discrepancies between the black holes andmacroscopic NKE bodies are pointed out.

The behaviors of the wave functions of small molecules with negative kinetic energies