Singular potentials and limit cycles

S. R. Beane; P. F. Bedaque; L. Childress; A. Kryjevski; J. McGuire; U. van Kolck

doi:10.1103/PhysRevA.64.042103

Singular potentials and limit cycles

S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, and U. van Kolck

Phys. Rev. A 64, 042103 – Published 10 September 2001

Abstract

We show that a central ${1 / r}^{n}$ singular potential (with $n >~ 2)$ 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.

Received 25 October 2000

DOI:https://doi.org/10.1103/PhysRevA.64.042103

Authors & Affiliations

S. R. Beane^1,*, P. F. Bedaque^2,†, L. Childress^1,‡, A. Kryjevski^2,§, J. McGuire^2,∥, and U. van Kolck^3,4,5,¶

¹Department of Physics, University of Washington, Seattle, Washington 98195
²Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195
³Department of Physics, University of Arizona, Tucson, Arizona 85721
⁴RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973
⁵Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125

^*Email address: sbeane@phys.washington.edu
^†Email address: bedaque@phys.washington.edu
^‡Email address: childres@fas.harvard.edu
^§Email address: abk4@u.washington.edu
^∥Email address: james.mcguire@yale.edu
^¶Email address: vankolck@krl.caltech.edu

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Vol. 64, Iss. 4 — October 2001

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Singular potentials and limit cycles

S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, and U. van Kolck

Phys. Rev. A 64, 042103 – Published 10 September 2001

Abstract

Authors & Affiliations

References (Subscription Required)

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Singular potentials and limit cycles

S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, and U. van Kolck

Phys. Rev. A 64, 042103 – Published 10 September 2001

Abstract

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