Nuclear Physics Around the Unitarity Limit

Sebastian König, Harald W. Grießhammer, H. W. Hammer, U. Van Kolck

Research output: Contribution to journalArticlepeer-review

76 Scopus citations


We argue that many features of the structure of nuclei emerge from a strictly perturbative expansion around the unitarity limit, where the two-nucleon S waves have bound states at zero energy. In this limit, the gross features of states in the nuclear chart are correlated to only one dimensionful parameter, which is related to the breaking of scale invariance to a discrete scaling symmetry and set by the triton binding energy. Observables are moved to their physical values by small perturbative corrections, much like in descriptions of the fine structure of atomic spectra. We provide evidence in favor of the conjecture that light, and possibly heavier, nuclei are bound weakly enough to be insensitive to the details of the interactions but strongly enough to be insensitive to the exact size of the two-nucleon system.

Original languageEnglish (US)
Article number202501
JournalPhysical review letters
Issue number20
StatePublished - May 15 2017

ASJC Scopus subject areas

  • General Physics and Astronomy


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