Comparison of Born-Oppenheimer and hyperspherical adiabatic approximations in the trinucleon problem
Nov, 19936 pages
Published in:
- Phys.Rev.C 48 (1993) 2201-2207
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Abstract: (APS)
Ground state energies of the three-nucleon system interacting via standard S-projected potentials are studied using Born-Oppenheimer and hyperspherical adiabatic approximations. The extreme and the uncoupled hyperspherical adiabatic approximations, which are the lower and upper bounds for the exact ground state energy, are found to define a narrow band with the Born-Oppenheimer approximation lying close to it. While the hyperspherical adiabatic approximation conserves the basic symmetry requirements, the other does not. In spite of this, the Born-Oppenheimer approximation is found to be comparable to the other for potentials with a soft core repulsion.- 21.45.+v
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