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An Effective Theory for the Four-Body System

arXiv:cond-mat/0410016 · doi:10.1063/1.1932907

Abstract

We consider the non-relativistic four-body system with large scattering length and short-range interactions within an effective theory with contact interactions only. We compute the binding energies of the 4He tetramer and of alpha-particle. The well-known linear correlation between the three-body binding energies and the four-body binding energies of these physical systems can be understood as a consequence of the absence of a four-body force at leading order.

3 pages, 2 ps figures, oral contribution, 19th European Few-Body Conference (EFB2004), Groningen, Netherlands, August 23 - August 27, 2004