Abstract
The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter \(\kappa _*\) and the two-body scattering length a, \(\kappa _* a\) depends on the angle \(\xi \) defined by \(E_3/E_2=\tan ^2\xi \). A similar dependence is observed in the ratio \(a_{AD}/a\) with \(a_{AD}\) the boson-dimer scattering length. We use a two-parameter potential to determine this simple behavior and, as an application, to compute \(a_{AD}\) for the case of three \(^4\)He atoms.
This is a preview of subscription content, log in via an institution to check access.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
V. Efimov, Phys. Lett. B 33, 563 (1970)
V. Efimov, Sov. J. Nucl. Phys. 12, 589 (1971)
E. Braaten, H.-W. Hammer, Phys. Rep. 428, 259 (2006)
A. Kievsky, M. Gattobigio, Phys. Rev. A 92, 062715 (2015)
R. Álvarez-Rodríguez, A. Deltuva, M. Gattobigio, M. Viviani, Phys. Rev. A 93, 062701 (2016)
V. Efimov, Sov. J. Nucl. Phys. 29, 546 (1979)
A. Kievsky, M. Gattobigio, Phys. Rev. A 87, 052719 (2013)
R.A. Aziz, M.J. Slaman, J. Chem. Phys. 94, 8047 (1991)
E.A. Kolganova, A.K. Motovilov, W. Sandhas, Phys. Part. Nucl. 40, 206 (2009)
A. Kievsky, E. Garrido, C. Romero-Redondo, P. Barletta, Few-Body Syst. 51, 259 (2011)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.
Rights and permissions
About this article
Cite this article
Kievsky, A., Viviani, M., Álvarez-Rodríguez, R. et al. Universal Behavior of Few-Boson Systems Using Potential Models. Few-Body Syst 58, 66 (2017). https://doi.org/10.1007/s00601-017-1228-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-017-1228-z