Published 1999
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The effective adiabatic approximation of three-body problem with short-range potentials
Creators
- 1. Joint Institute for Nuclear Research, Dubna (Russian Federation)
- 2. Temple University, Philadelphia, PA (United States)
Description
The effective adiabatic approximation (EAA) of three-body problem on a line with short-range attractive δ-potentials is constructed. The EAA lower bound for the energy with an absolute accuracy of order 10-6 is obtained. It is shown that EAA provides a true asymptotics of solutions and a correct behaviour of the elastic scattering phase with an absolute accuracy of 10-3 in the interval 2 · 10-3 < q ≤ qm < π / 6 of the relative momentum below the three-body threshold for (3 to 3) scattering. The convergence of adiabatic expansion in the framework of EAA is demonstrated
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Additional details
Publishing Information
- Imprint Pagination
- 24 p.
- Report number
- JINR-E--4-99-140
INIS
- Country of Publication
- Joint Institute for Nuclear Research (JINR)
- Country of Input or Organization
- Joint Institute for Nuclear Research (JINR)
- INIS RN
- 30053405
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- ADIABATIC APPROXIMATION; ASYMPTOTIC SOLUTIONS; BORN-OPPENHEIMER APPROXIMATION; BOUND STATE; CONVERGENCE; CORRECTIONS; EFFECTIVE MASS; INTERACTION RANGE; PHASE SHIFT; SCHROEDINGER EQUATION; SUM RULES; THREE-BODY PROBLEM
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DISTANCE; EQUATIONS; MANY-BODY PROBLEM; MASS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- 17 refs., 13 figs. Submitted to Yadernaya Fizika