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arXiv · 1103.5774

Stability of Matter-Antimatter Molecules

Cheuk-Yin Wong·Teck-Ghee Lee
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Abstract

We examine the stability of matter-antimatter molecules by reducing the four-body problem into a simpler two-body problem with residual interactions. We find that matter-antimatter molecules with constituents (m1+, m2-, m2bar+, m1bar-) possess bound states if their constituent mass ratio m1/m2 is greater than about 4. This stability condition suggests that the binding of matter-antimatter molecules is a rather common phenomenon. We evaluate the binding energies and eigenstates of matter-antimatter molecules (mu+ e-)-(e+ mu-), (pi+ e-)-(e+ pi-), (K+ e-)-(e+ K-), (p e-)-(e+ pbar), (p mu-)-(mu+ pbar), and (K+ mu-)-(mu+ K-), which satisfy the stability condition. We estimate the molecular annihilation lifetimes in their s states.

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Cheuk-Yin Wong, Teck-Ghee Lee. 2011-03-29. Stability of Matter-Antimatter Molecules. https://doi.org/10.1016/j.aop.2011.04.014

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