Stability of matter-antimatter molecules

作者：Wong Cheuk Yin^*; Lee Teck Ghee

来源：Annals of Physics, 2011, 326(8): 2138-2164.

DOI：10.1016/j.aop.2011.04.014

• Four-body problem
• Matter-antimatter molecules
• Particle-antiparticle molecules

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 (m(1)(+), m(2)(-), (m) over bar (+)(2), (m) over bar (-)(1)) possess bound states if their constituent mass ratio m(1)/m(2) 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(-) (pe(-)) - (e(+)(p) over bar (p mu(-)) - (mu(+)(p) over bar), and (K+mu(-)) - (mu K-+(-)), which satisfy the stability condition. We estimate the molecular annihilation lifetimes in their s states.

• 出版日期2011-8