Manifestation of Universality in the Asymmetric Helium Trimer and in the Halo Nucleus ${}^{22}$C

Abstract

We prove that the corner angle distributions in the bound three-body system AAB, which consists of two particles of type A and one particle of type B, approach universal form if the pair AA has a virtual state at zero energy and the binding energy of AAB goes to zero. We derive explicit expressions for the universal corner angle distributions in terms of elementary functions, which depend solely on the mass ratio m(A)/m(B) and do not depend on pair interactions. On the basis of experimental data and calculations we demonstrate that such systems as the asymmetric Helium trimer ${}^3$He${}^4$He${}_2$ and the halo nucleus ${}^{22}$C exhibit universal features. Thus our result establishes an interesting link between atomic and nuclear physics through the few-body universality.

References in corpus (6)

• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• A Universal Trimer in a Three-Component Fermi Gas

Cited by in corpus (1)

• Weakly bound Li He${}_2$ molecules