Universality in few-body systems with large scattering length

Details Universality in few-body systems with large scattering length Universality in few-body systems with large scattering length

2005-02-24

arxiv.org/abs/nucl-th/0502080v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 10 ps figures, invited talk at the workshop on "Nuclei and Mesoscopic Physics", Michigan State University, October 2

Scientific paper

10.1063/1.1996867

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with short-range interactions and large two-body scattering length. Such systems display remarkable universal features. In systems with more than two particles, a three-body force with limit cycle behavior is required for consistent renormalization already at leading order. We will review this EFT and some of its applications in the physics of cold atoms and nuclear physics. In particular, we will discuss the possibility of an infrared limit cycle in QCD. Recent extensions of the EFT approach to the four-body system and N-boson droplets in two spatial dimensions will also be addressed.

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