TY - JOUR
T1 - Nuclear physics from an expansion around the unitarity limit
AU - Van Kolck, U.
N1 - Funding Information:
I thank Angela Gargano, Nunzio Itaco and especially Luigi Coraggio for the great hospitality at Ischia. Many thanks also to Harald Grießhammer, Hans-Werner Hammer and Sebastian König for the collaboration that led to the main ideas summarized above. This material is based upon work supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under award DE-FG02-04ER41338 and by the European Union Research and Innovation program Horizon 2020 under grant No. 654002.
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2018/2/22
Y1 - 2018/2/22
N2 - Many features of the structure of nuclei can be understood in the unitarity limit, where the two-nucleon S waves have bound states at zero energy. In this limit, the only dimensionful parameter, which is needed for proper renormalization of the relevant effective field theory, is set by the triton binding energy. While the complexity of some many-body systems may stem from a profusion of distinct scales, this one three-body scale is sufficient to generate rich structures already in few-body systems due to the anomalous breaking of continuous to discrete scale invariance. I discuss how the spectra of light nuclei arise from a controlled, perturbative expansion around the unitarity limit. I also present some implications of discrete scale invariance for nuclear matter.
AB - Many features of the structure of nuclei can be understood in the unitarity limit, where the two-nucleon S waves have bound states at zero energy. In this limit, the only dimensionful parameter, which is needed for proper renormalization of the relevant effective field theory, is set by the triton binding energy. While the complexity of some many-body systems may stem from a profusion of distinct scales, this one three-body scale is sufficient to generate rich structures already in few-body systems due to the anomalous breaking of continuous to discrete scale invariance. I discuss how the spectra of light nuclei arise from a controlled, perturbative expansion around the unitarity limit. I also present some implications of discrete scale invariance for nuclear matter.
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U2 - 10.1088/1742-6596/966/1/012014
DO - 10.1088/1742-6596/966/1/012014
M3 - Conference article
AN - SCOPUS:85043238644
SN - 1742-6588
VL - 966
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012014
T2 - 12th International Spring Seminar on Nuclear Physics: Current Problems and Prospects for Nuclear Structure
Y2 - 15 May 2017 through 19 May 2017
ER -