2014_exact_stability_3body_JCP.pdf (376.3 kB)
Predicting the stability of atom-like and molecule-like unit-charge Coulomb three-particle systems
journal contribution
posted on 2023-06-08, 20:42 authored by Andrew W King, Patrick E Herlihy, Hazel CoxHazel CoxNon-relativistic quantum chemical calculations of the particle mass, m ± 2 , corresponding to the dissociation threshold in a range of Coulomb three-particle systems of the form {m ± 1 m ± 2 m ± 3 } , are performed variationally using a series solution method with a Laguerre-based wavefunction. These masses are used to calculate an accurate stability boundary, i.e., the line that separates the stability domain from the instability domains, in a reciprocal mass fraction ternary diagram. This result is compared to a lower bound to the stability domain derived from symmetric systems and reveals the importance of the asymmetric (mass-symmetry breaking) terms in the Hamiltonian at dissociation. A functional fit to the stability boundary data provides a simple analytical expression for calculating the minimum mass of a third particle required for stable binding to a two-particle system, i.e., for predicting the bound state stability of any unit-charge three-particle system.
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- Published
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- Published version
Journal
Journal of Chemical PhysicsISSN
0021-9606Publisher
American Institute of PhysicsExternal DOI
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4Volume
141Page range
044120Department affiliated with
- Chemistry Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-05-07First Open Access (FOA) Date
2015-05-07First Compliant Deposit (FCD) Date
2015-05-06Usage metrics
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