Renormalization group, dimer-dimer scattering, and three-body forces

Boris Krippa; Niels R. Walet; Michael C. Birse

doi:10.1103/PhysRevA.81.043628

Renormalization group, dimer-dimer scattering, and three-body forces

Boris Krippa, Niels R. Walet, Michael C. Birse

Research output: Contribution to journal › Article › peer-review

Abstract

We study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of nonrelativistic fermions, using the same functional renormalization technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalization flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence. © 2010 The American Physical Society.

Original language	English
Article number	043628
Journal	Physical Review A
Volume	81
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.81.043628
Publication status	Published - 26 Apr 2010

Keywords

Condensed Matter - Quantum Gases
Nuclear Theory
Physics - Atomic Physics

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10.1103/PhysRevA.81.043628

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title = "Renormalization group, dimer-dimer scattering, and three-body forces",

abstract = "We study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of nonrelativistic fermions, using the same functional renormalization technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalization flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence. {\textcopyright} 2010 The American Physical Society.",

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AU - Walet, Niels R.

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N2 - We study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of nonrelativistic fermions, using the same functional renormalization technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalization flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence. © 2010 The American Physical Society.

AB - We study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of nonrelativistic fermions, using the same functional renormalization technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalization flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence. © 2010 The American Physical Society.

KW - Condensed Matter - Quantum Gases

KW - Nuclear Theory

KW - Physics - Atomic Physics

U2 - 10.1103/PhysRevA.81.043628

DO - 10.1103/PhysRevA.81.043628

M3 - Article

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VL - 81

JO - Physical Review A

JF - Physical Review A

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M1 - 043628

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Renormalization group, dimer-dimer scattering, and three-body forces

Abstract

Keywords

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