Abstract
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 language | English (US) |
|---|---|
| Article number | 202501 |
| Journal | Physical Review Letters |
| Volume | 118 |
| Issue number | 20 |
| DOIs | |
| State | Published - May 15 2017 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Nuclear Physics Around the Unitarity Limit. / König, Sebastian; Grießhammer, Harald W.; Hammer, H. W.; Van Kolck, Ubirajara.
In: Physical Review Letters, Vol. 118, No. 20, 202501, 15.05.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nuclear Physics Around the Unitarity Limit
AU - König, Sebastian
AU - Grießhammer, Harald W.
AU - Hammer, H. W.
AU - Van Kolck, Ubirajara
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.
UR - http://www.scopus.com/inward/record.url?scp=85019839583&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevLett.118.202501
DO - 10.1103/PhysRevLett.118.202501
M3 - Article
VL - 118
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 20
M1 - 202501
ER -