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arxiv: quant-ph/0010073 · v2 · pith:ODT5AXGEnew · submitted 2000-10-19 · 🪐 quant-ph · nucl-th· physics.atom-ph

Singular Potentials and Limit Cycles

classification 🪐 quant-ph nucl-thphysics.atom-ph
keywords square-wellcountertermsingularadjustingcentralclosedcyclesevolution
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We show that a central $1/r^n$ singular potential (with $n\geq 2$) is renormalized by a one-parameter square-well counterterm; low-energy observables are made independent of the square-well width by adjusting the square-well strength. We find a closed form expression for the renormalization-group evolution of the square-well counterterm.

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Cited by 3 Pith papers

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