Correlated wave functions for three-body systems with Coulomb interaction. Mesonic molecular ions
Abstract
The previously reported general correlated wave function for three-particle Coulomb systems is analyzed term by term for the cases of H-, e-e+e-, p μ p, d μ d, t μ t, and p μ d to find how sensitive the single terms are to the configuration of the Coulomb systems, and how effective they are in giving accurate results. It is found that on going from one-center Coulomb systems to systems with increasing two-center configuration, the leading terms in the wave function become those containing powers of the relative distance between the particles with the same sign of the charges. For mesonic molecular ions, a two-term wave function has been found to give highly accurate ground-state energy results: -2776.87 eV for p μ p, -2982.97 eV for d μ d, -3069.15 eV for t μ t, and -2867.77 eV for p μ d. All of the wave-function parameters are tabulated together with a number of useful expectation values.
- Publication:
-
Physical Review A
- Pub Date:
- August 1976
- DOI:
- 10.1103/PhysRevA.14.558
- Bibcode:
- 1976PhRvA..14..558F