Journal
PHYSICAL REVIEW C
Volume 103, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.103.054304
Keywords
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Funding
- European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme [758027]
- Swedish Research Council (Swedish: Vetenskapsradet) [2017-04234]
- Office of Nuclear Physics, U.S. Department of Energy [desc0018223]
- Oak Ridge National Laboratory (ORNL) [ERKBP72]
- Swedish Research Council, the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program
- Office of Science of the Department of Energy [DE-AC05-00OR22725]
- Swedish Research Council [2017-04234] Funding Source: Swedish Research Council
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The study systematically explores recent RG-invariant formulations of chiral effective field theory and their predictions for selected nuclear systems up to A = 16. Results show that RG-invariant and realistic predictions can be obtained for nuclei with mass number A <= 4, but further fine-tuning of relevant counterterms may be needed for nuclei with mass number A > 4 in current state-of-the-art RG-invariant PC schemes based on chi EFT at LO.
Chiral effective field theory (chi EFT), as originally proposed by Weinberg, promises a theoretical connection between low-energy nuclear interactions and quantum chromodynamics (QCD). However, the important property of renormalization-group (RG) invariance is not fulfilled in current implementations and its consequences for predicting atomic nuclei beyond two- and three-nucleon systems has remained unknown. In this work we present a systematic study of recent RG-invariant formulations of chi EFT and their predictions for the binding energies and other observables of selected nuclear systems with mass numbers up to A = 16. Specifically, we have carried out ab initio no-core shell-model and coupled cluster calculations of the ground-state energy of H-3, He-3,He-4, Li-6, and O-16 using several recent power-counting (PC) schemes at leading order (LO) and next-to-leading order, where the subleading interactions are treated in perturbation theory. Our calculations indicate that RG-invariant and realistic predictions can be obtained for nuclei with mass number A <= 4. We find, however, that O-16 is either unbound with respect to the four alpha-particle threshold, or deformed, or both. Similarly, we find that the Li-6 ground-state resides above the alpha-deuteron separation threshold. These results are in stark contrast with experimental data and point to either necessary fine-tuning of all relevant counterterms, or that current state-of-the-art RG-invariant PC schemes at LO in chi EFT lack necessary diagrams-such as three-nucleon forces-to realistically describe nuclei with mass number A > 4.
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