Zero-energy scattering and bound states in the /sup 4/He trimer and tetramer

Journal Article · Mon Aug 01 04:00:00 EDT 1983 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.28.692· OSTI ID:5846444

Nakaichi-Maeda, S; Lim, T K

Using the HFDHE2 He-He potential of Aziz et al. (J. Chem. Phys. 90, 4330 (1979)) with the Faddeev-Yakubovsky theory, we have calculated the /sup 4/He atom-triatom scattering length and found it to be -116 A. We reduced the s-wave two-body t matrix to a separable form through the unitary-pole approximation and did the same for the s-wave (3+1) and (2+2) subamplitudes with the energy-dependent-pole approximation in our work. Also, the binding energies of all the states in the trimer and tetramer, and the atom-diatom scattering length, already determined in our previous work with other potentials, were recalculated for the new interaction. We found an excited trimer bound state, apparently not an Efimov state, near the atom-diatom threshold and an atom-diatom scattering length of 195 A. A feature of our results was the absence of an excited state in the tetramer, but in its place, was a resonancelike state which led to the large atom-triatom scattering length.

• Research Organization: Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104
• OSTI ID: 5846444
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 28:2; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
AGGLOMERATION
BOUND STATE
DIMENSIONS
EFFECTIVE RANGE THEORY
ELEMENTS
ENERGY LEVELS
EQUATIONS
EXCITED STATES
FADDEEV EQUATIONS
FLUIDS
GASES
HELIUM
LENGTH
NONMETALS
PARTIAL WAVES
RARE GASES
S WAVES
SCATTERING LENGTHS