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3He Dimer and Trimer in Two Dimensions

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Abstract

Using variational procedure in infinite two dimensional space, the existence of one dimer and one trimer (spin-1/2) bound state, with binding energies below −0.014 mK and −0.0057 mK (respectively), is definitively found. In a holding harmonic potential the strongest binding is achieved for the width of about 3 Å. For dimer at 3.2 Å it is −8.39 mK and for trimer at 3Å it is −5.5 mK.

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Vranješ, L., Kilić, S. 3He Dimer and Trimer in Two Dimensions. Journal of Low Temperature Physics 121, 471–476 (2000). https://doi.org/10.1023/A:1017522301940

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