ΛΛ6He in cluster effective field theory

Abstract

The bound state of ΛΛ6He is studied as a three-body (ΛΛα) system in a cluster effective field theory at leading order. We find that the system exhibits the limit cycle that is associated with the formation of bound states called the Efimov states. This implies that the three-body contact interaction should be promoted to the leading order. The relationship of the binding energy and the ΛΛ scattering length is discussed as well as the role of the scale of this system.