Power counting in chiral effective field theory and nuclear binding

Yang, C. -J.; Ekström, A.; Forssén, C.; Hagen, G.

doi:10.1103/PhysRevC.103.054304

Title: Power counting in chiral effective field theory and nuclear binding

Journal Article · Mon May 10 00:00:00 EDT 2021 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.103.054304· OSTI ID:1782394

; Ekström, A.;

; Hagen, G.

Chiral effective field theory (χEFT), 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 χEFT 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 ³H, ^3,4He, ⁶Li, and ¹⁶O 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 ¹⁶O is either unbound with respect to the four α-particle threshold, or deformed, or both. Similarly, we find that the 6Li ground-state resides above the α-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 χEFT lack necessary diagrams—such as three-nucleon forces—to realistically describe nuclei with mass number A>4.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); European Union (EU); Swedish Research Council (SRC)

Grant/Contract Number:: desc0018223; AC05-00OR22725; SC0018223; 2017-04234

OSTI ID:: 1782394

Alternate ID(s):: OSTI ID: 1784133

Journal Information:: Physical Review C, Journal Name: Physical Review C Vol. 103 Journal Issue: 5; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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