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HK: Fachverband Hadronen und Kerne
HK 42: Few-body physics
HK 42.2: Talk
Tuesday, March 17, 2009, 17:00–17:15, H-ZO 100
Halo nuclei in effective theory at next-to-leading order — •David L. Canham1,2 and H.-W. Hammer1,2 — 1Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn — 2Bethe Center for Theoretical Physics, Universität Bonn
An effective theory with separable s-wave interactions is used to explore the universal properties of Efimov states and three-body systems composed of two neutrons and a core. This effective potential is well suited to describe the short-range interactions of halo nuclei. To leading order, only one coupling constant is needed in the two-body effective potential, tuned to reproduce the scattering length. The effective range enters at next-to-leading order (NLO). We explore the NLO corrections to three-body states assuming a large scattering length as compared to the range of the interaction. One finds that the renormalization places certain constraints on the value of the effective range, known as the Wigner Bound.