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Title: Nuclear Physics Around the Unitarity Limit

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.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. The Ohio State Univ., Columbus, OH (United States); Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
  2. George Washington Univ., Washington, DC (United States)
  3. Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
  4. Univ. Paris-Sud, Orsay (France); Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Grant/Contract Number:
SC0008533; SC0015393; FG02-04ER41338
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 20; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Effective Field Theory; Few-body Systems; Nuclear binding; Nuclear forces
OSTI Identifier:
1423774
Alternate Identifier(s):
OSTI ID: 1357081

König, Sebastian, Grießhammer, Harald W., Hammer, H. -W., and van Kolck, U.. Nuclear Physics Around the Unitarity Limit. United States: N. p., Web. doi:10.1103/PhysRevLett.118.202501.
König, Sebastian, Grießhammer, Harald W., Hammer, H. -W., & van Kolck, U.. Nuclear Physics Around the Unitarity Limit. United States. doi:10.1103/PhysRevLett.118.202501.
König, Sebastian, Grießhammer, Harald W., Hammer, H. -W., and van Kolck, U.. 2017. "Nuclear Physics Around the Unitarity Limit". United States. doi:10.1103/PhysRevLett.118.202501. https://www.osti.gov/servlets/purl/1423774.
@article{osti_1423774,
title = {Nuclear Physics Around the Unitarity Limit},
author = {König, Sebastian and Grießhammer, Harald W. and Hammer, H. -W. and van Kolck, U.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.118.202501},
journal = {Physical Review Letters},
number = 20,
volume = 118,
place = {United States},
year = {2017},
month = {5}
}