Effective theories of scattering with an attractive inverse-square potential and the three-body problem

DOI10.1088/0305-4470/38/3/009zbMath1063.81092arXivnucl-th/0406008OpenAlexW3098946652MaRDI QIDQ4654920

Thomas Barford, Michael C. Birse

Publication date: 10 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nucl-th/0406008

zbMATH Keywords

three-body problemscatteringrenormalization group

Mathematics Subject Classification ID

Three-body problems (70F07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (n)-body potential quantum scattering theory (81U10) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (10)

Precise numerical results for limit cycles in the quantum three-body problem ⋮ On the limit cycle for the \(1/r^{2}\) potential in momentum space ⋮ Nonrelativistic inverse square potential, scale anomaly, and complex extension ⋮ Similarity renormalization group evolution of chiral effective nucleon-nucleon potentials in the subtracted kernel method approach ⋮ Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions ⋮ Classical and quantum motion in an inverse square potential ⋮ Renormalization of singular potentials and power counting ⋮ Analytic solution of the wave equation for an electron in the field of a molecule with an electric dipole moment ⋮ The renormalization group and nuclear forces ⋮ Efimov physics from a renormalization group perspective

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