Effective interaction of three resonantly interacting particles and the force range

Journal Article · Sat May 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.1876· OSTI ID:6650779

Efimov, V ^[1]

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1. Nuclear Theory Group, Department of Physics, FM-15, and Nuclear Physics Laboratory, GL-10, University of Washington, Seattle, Washington 98195 (United States)

The effect of the force range [ital r][sub 0] on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction [ital r][sub 0]/[ital R][sup 3] in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric 0[sup +] three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.

• OSTI ID: 6650779
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUNDARY CONDITIONS
CORRECTIONS
DIMENSIONS
EFFECTIVE RANGE THEORY
LENGTH
MANY-BODY PROBLEM
NUCLEAR FORCES
PERTURBATION THEORY
RESONANCE
SCATTERING LENGTHS
THREE-BODY PROBLEM