Double Lambda He-6 in cluster effective field theory

preprint2015arXivOpen access

Abstract

The bound state of \nuclide[6][ΛΛ]{He} is studied as a three-body (ΛΛαΛΛα) system in a cluster effective field theory at leading order (LO). We find that the system exhibits the limit cycle which is associated with the formation of bound states called the Efimov states. This implies that the three-body contact interaction should be promoted to LO. The relationship of the binding energy and the ΛΛΛΛ scattering length is discussed as well as the role of the scale in this system.

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