Universal behavior of the energy of trapped few-boson systems with large scattering length.
We calculate energy levels of two and three bosons trapped in a harmonic oscillator potential with oscillator length a(osc). The atoms are assumed to interact through a short-range potential with a scattering length a, and the short-distance behavior of the three-body wave function is characterized by a parameter theta. For large positive a/a(osc), the energies of states that, in the absence of the trap, correspond to three free atoms approach values independent of a and theta. For other states, the theta dependence of the energy is strong, but the energy is independent of a for |a/a(osc)|>>1.
Jonsell
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S
NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
Heiselberg
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Pethick
C J
CJ