Universality in few‐body systems with large scattering length

By E. Braaten, H. Hammer. 2004

1,058 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/dacbe98da96035d38e42896d7b1da780379e42d6

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Citations in the corpus

Hadronic molecules (2017, background): “(Braaten and Hammer, 2006).”
Universal few-body physics and cluster formation (2017, methodology): “…reviewed elsewhere, and the reader is recommended to explore a large body of literature that can be found in (Baranov et al., 2012; Blume, 2012a; Braaten and Hammer, 2006; Côté, 2016; Frederico et al., 2012; Jensen et al., 2004b; Naidon and Endo, 2016; Nielsen et al., 2001; Ohsaki and…”
Feshbach resonances in ultracold gases (2008, background): “Such systems are governed by “universal” physics, i.e. their low-energy observables are independent of details of the interaction (Braaten and Hammer, 2006).”
Theory of dark matter superfluidity (2015, background): “For instance, the Unitary Fermi Gas (UFG) [91, 92], which has generated much excitement recently in the cold atom community, describes a gas of cold fermionic atoms tuned such that their scattering length diverges [93, 94].”
Multiquark Resonances (2016, background): “Moreover, the wave function of the loosely bound molecule for separations r `, ` being the typical size of the components, is universally given by [12, 21] (see also Eq.”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “Braaten and Hammer wrote a review back in 2006 [175].”
Effective field theory description of halo nuclei (2017, background): “The period of the limit cycle is exp(π/s0), where s0 is the solution of a transcendental equation [22, 118]: cosh(2) (πs0 2 ) − cosh (πs0 2 ) 2 sinh(θ1s0) s0 sin(2θ1) − 8 sinh (2)(θ2s0) s(2)0 sin (2)(2θ2) = 0 (51)”
Observation of an Efimov-like trimer resonance in ultracold atom–dimer scattering (2008, background): “Albeit the vastly different energy regimes of ultracold and nuclear matter (peV as compared to MeV), few-body phenomena are universal for near-resonant two-body interactions [2].”