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Singular potentials and limit cycles
Open accessAbstract
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.
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Citations
Cited by
Modern theory of nuclear forces
Epelbaum, E., Hammer, H.-W., & Meißner, U.-G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1773 · Cited by 1,883
Universality in few-body systems with large scattering length
Braaten, E., & Hammer, H.-W. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.03.001 · Cited by 1,313
E FFECTIVE F IELD T HEORY FOR F EW-N UCLEON S YSTEMS
Bedaque, P. F., & van Kolck, U. (2002) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.52.050102.090637 · Cited by 760
Self-citationBelow the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence
Moroz, S. (2010) · Physical Review D · doi:10.1103/physrevd.81.066002 · Cited by 31
Metadata
- Authors
- Beane, S. R., Bedaque, P. F., Childress, L., Kryjevski, A., McGuire, J., & van Kolck, U.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-09-10
- Volume
- 64
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1989104288
- Cited by
- 171
- References
- 0
- FWCI
- 12.50
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Singular potentials and limit cycles. https://app.cochat.ai/papers/10.1103/physreva.64.042103
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- Beane, S. R., Bedaque, P. F., Childress, L., Kryjevski, A., McGuire, J., & van Kolck, U. (2001). Singular potentials and limit cycles. Physical Review A. https://doi.org/10.1103/physreva.64.042103
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