Three-body halos: Gross properties.
作者： D. V. Fedorov , A. S. Jensen , K. Riisager
关键词: Quantum mechanics 、 Scaling 、 Physics 、 Square (algebra) 、 Many-body problem 、 Radius 、 Classical mechanics 、 Few-body systems 、 Finite potential well 、 Three-body problem 、 Function (mathematics)
摘要: Three-body bound systems are investigated in the limit of very weak binding by use hyperspherical harmonics. The short-range two-body potentials assumed to be unable bind binary subsystems. Then mean square radius always converges for vanishing except most spherical wave function, where all angular momenta involved zero, which diverges logarithmically. Universal scaling properties suggested. Any additional long-range repulsive potential, like, example, Coulomb leads finite radial moments even binding. Spatially extended charged halos only possible low charges. spatial extension three-body is asymptotic region more confined than corresponding systems, divergences stronger and abundant. Numerical examples transitions shown well Gaussian potentials. results applied several drip-line nuclei.
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