Renormalization group, dimer-dimer scattering, and three-body forces
arXiv:0911.4608 · doi:10.1103/PhysRevA.81.043628
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 renormalisation technique as previously applied to fermionic matter. We find a strong dependence on the cutoff function used in the renormalisation flow for a two-body truncation of the action. Adding a simple three-body term substantially reduces this dependence.
5 pages, 2 pictures
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Cited by in corpus (13)
- The nonperturbative functional renormalization group and its applications
- Fundamentals of the Exact Renormalization Group
- Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
- Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization
- The renormalisation group and nuclear forces
- Convergence of a renormalization group approach to dimer-dimer scattering
- Efimov physics from the functional renormalization group
- Error estimates and specification parameters for functional renormalization
- Functional renormalisation group for few-nucleon systems: SU(4) symmetry and its breaking
- Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
- Flow equation of functional renormalization group for three-body scattering problems
- Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons
- Nonperturbative Renormalisation Group: Applications to the few and many-body systems