Stability of Matter-Antimatter Molecules
arXiv:1103.5774 · doi:10.1016/j.aop.2011.04.014
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.
arXiv comment24 pages, 11 figures
References in corpus (16)
- Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
- Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
- Universality in Few-body Systems with Large Scattering Length
- Observation of the Narrow State in Collisions at $\sqrt{s}=1.96 \TeV$
- Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
- Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
- Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
- Short Range Structure in the X(3872)
- The D*0 D0bar threshold resonance
- Low-energy Universality and the New Charmonium Resonance at 3870 MeV
- Molecular States of Heavy Quark Mesons
- Line Shapes of the X(3872)
- A study of B->X(3872) K, with X(3872)->J/Psi pi+ pi-
- Analysis of J/psi pi+ pi- and D0 D0-bar pi0 Decays of the X(3872)
- Effects of Screening on Quark-Antiquark Cross Sections in Quark-Gluon Plasma
- Peculiar Features of the Interaction Potential between Hydrogen and Antihydrogen at Intermediate Separations