Nuclear Physics Around the Unitarity Limit

König, Sebastian; Grießhammer, Harald W.; Hammer, H. -W.; van Kolck, U.

doi:10.1103/PhysRevLett.118.202501

Nuclear Physics Around the Unitarity Limit

Journal Article · Mon May 15 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.118.202501· OSTI ID:1423774

König, Sebastian ^[1]; Grießhammer, Harald W. ^[2]; Hammer, H. -W. ^[3]; van Kolck, U. ^[4]

The Ohio State Univ., Columbus, OH (United States); Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Ohio State University
George Washington Univ., Washington, DC (United States)
Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
Univ. Paris-Sud, Orsay (France); Univ. of Arizona, Tucson, AZ (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: FG02-04ER41338; SC0008533; SC0015393

OSTI ID:: 1423774

Alternate ID(s):: OSTI ID: 1357081

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 118; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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