Few-Body Physics in Effective Field Theory

Details Few-Body Physics in Effective Field Theory Few-Body Physics in Effective Field Theory

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apr.o4001h&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematic, model-independent calculations. We apply EFT to three-body systems with large two-body scattering length. These systems are interesting because they display universal features such as a logarithmic spectrum of shallow three-body bound states (so-called Efimov states) and a discrete scale invariance. While most channels are straightforward, in certain S-wave channels (e.g. for spinless bosons) a nonderivative, one-parameter three-body force is required at leading order for consistent renormalization. The renormalization group evolution of this three-body force is governed by a limit cycle. This EFT successfully describes the neutron-deuteron and Λ-deuteron systems in nuclear physics. The variation of the three-body force provides a compelling explanation of the Phillips line. Especially interesting is the application of this formalism to the physics of cold atoms and Bose-Einstein condensates, where the scattering length a can be tuned experimentally using Feshbach resonances. In the rate for three-body recombination (i.e. when two atoms form a molecule and a third atom balances energy and momentum), the EFT predicts a unique spectrum of minima (for a>0) and narrow resonances (for a<0).

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