Impossibility to describe repulsion with contact interaction
arXiv:0901.3650 · doi:10.1016/j.physleta.2009.11.043
Abstract
Contact interactions always lead to attractive behaviour. Arguments are presented to show why a repulsive interacting system, e.g. Bose gases, cannot be described by contact interactions and corresponding treatments are possibly obscured by the appearance of bound states. The usually used cut-offs are identified as finite range parameters.
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