Universal properties of the four-body system with large scattering length

By H. Hammer, L. Platter. 2006

160 citations recorded by the source corpus.

Abstract.Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound-state properties of the four-boson system with large scattering length in an effective quantum mechanics approach. We compute the four-body binding energies using the Yakubovsky equations for positive and negative scattering length. Moreover, we study the correlation between three- and four-body energies and present a generalized Efimov plot for the four-body system. These results are useful for understanding the cluster structure of nuclei and for the creation of weakly bound tetramers with cold atoms close to a Feshbach resonance.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/35d2a30ce63204328d42fd8dfb50537bd8a07003

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Observation of an Efimov-like trimer resonance in ultracold atom–dimer scattering (2008, background): “A full understanding of the three-body sector in real-world systems near universality is required as a prerequisite to explore more complex few-body phenomen”
Feshbach resonances in ultracold gases (2008, background): “. They observed a loss minimum in the same region where atom-dimer scattering shows a maximum (a ≃ 500a 0 at 30G), which may be related to a universal connection between four- and three-body physics (Hammer and Platter, 2007; von Stecher et al., 2009). Optical lattices have proven a powerful tool fo”
Microscopic clustering in light nuclei (2017, background): “Another interesting system is the second 0þ state of 16O, which should be continuously connected to a universal Efimov tetramer (Kraemer et al., 2006; Hammer and Platter, 2007; von Stecher, D’Incao, and Greene, 2009).”
Universal few-body physics and cluster formation (2017, result): “his conclusion was supported by a later study as well, namely (Hadizadeh et al., 2011). Based on 4-identical boson bound state calculations using low-energy eective eld theory,it was conjectured by (Hammer and Platter, 2007; Platter et al., 2004) that there should be two 4-boson bound states at unit”
Nuclear effective field theory: Status and perspectives (2019, background): “Hammer and Platter (2007) later studied a four-body generalization of the Efimov effect in the four-boson system, demonstrating that the three-body ground state is associated with two four-body states, one very near the particle-trimer threshold, another deeper by a factor ' 4.”
Comparing and contrasting nuclei and cold atomic gases (2013, methodology): “Universal behavior of excited four-boson states was recently found in both variational (von Stecher et al. 2009) and zero-range models (Hammer & Platter 2007).”
Observation of an Efimov spectrum in an atomic system (2009, background): “Finally, this scenario is further enriched by the presence of two universal four-body bound state”
Effective field theory description of halo nuclei (2017, background): “If more particles are added, no new parameters are needed for renormalization at leading order [28, 29, 30, 31, 32].”