Low-energy properties of three resonantly interacting particles
The scattering and bound states of a system of three resonantly interacting particles are analyzed. The characteristics of the scattering and the bound states are shown to be independent of the particular nature of the two-particle forces; instead, these characteristics are governed simply by the fact that resonances occur. The resonances lead to an effective long-range interaction among the three particles. The physical characteristics of the system obey a scaling law. Explicit equations are derived for the particle pair scattering length, for the particle pair scattering cross section at and above the threshold for disintegration of the three-particle system, and for the ternary-collision amplitude at zero energy. The properties of the system are compared with those of a system of two resonantly interacting particles.
- Research Organization:
- Leningrad Institute of Nuclear Physics, Academy of Sciences of the USSR
- OSTI ID:
- 5725318
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 29:4; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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Moments
Spin
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BOUND STATE
CROSS SECTIONS
DISTANCE
ENERGY RANGE
INELASTIC SCATTERING
INTERACTION RANGE
MANY-BODY PROBLEM
MEV RANGE
MEV RANGE 01-10
RESONANCE SCATTERING
SCALING LAWS
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
THREE-BODY PROBLEM