TY - JOUR
T1 - Nuclear Physics Around the Unitarity Limit
AU - König, Sebastian
AU - Grießhammer, Harald W.
AU - Hammer, H. W.
AU - Van Kolck, U.
N1 - Funding Information:
the Institute for Nuclear Theory at the University of Washington for hospitality during program INT 16-1 Nuclear Physics from Lattice QCD; and the participants of the EMMI RRTF workshop ER15-02: Systematic Treatment of the Coulomb Interaction in Few-Body Systems at GSI as well as of the workshop Lattice Nuclei, Nuclear Physics and QCD-Bridging the Gap at the ECT. This work is supported in part by the NSF under award PHY-1306250 (SK), by the DOE, NUCLEI SciDAC Collaboration award DE-SC0008533 (SK), by the DOE, Office of Science, Office of Nuclear Physics, under Award Nos. DE-SC0015393 (HWG) and DE-FG02-04ER41338 (UvK), by the BMBF under Contract No. 05P15RDFN1 (HWH), by the DFG through SFB 1245 (HWH), by the Dean's Research Chair Programme of the Columbian College of Arts and Sciences of The George Washington University (HWG), as well as by the ERC Grant No. 307986 STRONGINT (SK). Some results reported here were obtained using computing time made available by the State of Hesse on the Lichtenberg High-Performance Computer at TU Darmstadt.
PY - 2017/5/15
Y1 - 2017/5/15
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.118.202501
DO - 10.1103/PhysRevLett.118.202501
M3 - Article
C2 - 28581798
AN - SCOPUS:85019839583
VL - 118
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 20
M1 - 202501
ER -