Loosely bound states of three particles
- 1 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (3) , 1193-1201
- https://doi.org/10.1103/physreva.38.1193
Abstract
The adiabatic hyperspherical technique is applied to a three-body system interacting via a short-range potential. Analytical expressions for the effective hyper-radial potential have been obtained without explicit use of the two-body potential. Possible loosely bound states of the system have been analyzed quantitatively and the result confirms the prediction by V. Efimov (Yad. Fiz. 10, 107 (1969) [Sov. J. Nucl. Phys. 10, 62 (1970)]). At the same time, some new characteristics of the three-body system are obtained.Keywords
This publication has 17 references indexed in Scilit:
- Loosely bound states of three particlesThe European Physical Journal D, 1986
- Adiabatic hyperspherical treatment ofPhysical Review A, 1986
- Suitable coordinates for the three-body problem in the adiabatic representationJournal of Physics B: Atomic and Molecular Physics, 1985
- Efimov states intrimers by two-body effective-range and scattering-length analysis: A comparison with Faddeev calculationsPhysical Review A, 1985
- A study of the Efimov states and binding energies of the helium trimer through the Faddeev-coordinate–momentum approachThe Journal of Chemical Physics, 1978
- Efimov State in theTrimerPhysical Review Letters, 1977
- On Efimov's effect: A new pathology of three-particle systemsPhysics Letters B, 1971
- Energy levels arising from resonant two-body forces in a three-body systemPhysics Letters B, 1970
- Three-Alpha Model ofC12NucleusPhysical Review B, 1969
- Theory of the Effective Range in Nuclear ScatteringPhysical Review B, 1949