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Fall to the centre in atom traps and point-particle EFT for absorptive systems

Fall to the centre in atom traps and point-particle EFT for absorptive systems

Polarizable atoms interacting with a charged wire do so through an inverse-square potential, $V = - g/r^2$. This system is known to realize scale invariance in a nontrivial way and to be subject to ambiguities associated with the choice of boundary condition at the origin, often termed the problem of …