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arxiv: 0901.3650 · v2 · pith:JUGEJJXPnew · submitted 2009-01-23 · ❄️ cond-mat.str-el · cond-mat.stat-mech

Impossibility to describe repulsion with contact interaction

classification ❄️ cond-mat.str-el cond-mat.stat-mech
keywords contactinteractionsalwaysappearanceargumentsattractivebehaviourbose
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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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