Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei

Schiavilla, R.; Girlanda, L.; Gnech, A.; Kievsky, A.; Lovato, A.; Marcucci, L. E.; Piarulli, M.; Viviani, M.

doi:10.1103/physrevc.103.054003

Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei

Journal Article · Mon May 24 00:00:00 EDT 2021 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.103.054003· OSTI ID:1785345

^[1]; Girlanda, L. ^[2]; ^[3]; ^[4]; ^[5]; Marcucci, L. E. ^[6]; Piarulli, M. ^[7]; Viviani, M. ^[4]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
University of Salento, Lecce (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Lecce (Italy)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center; Univ. of Pisa (Italy)
Istituto Nazionale di Fisica Nucleare (INFN), Pisa (Italy)
Argonne National Lab. (ANL), Argonne, IL (United States); stituto Nazionale di Fisica Nucleare (INFN), Trento (Italy). INFN-TIFPA Trento Institute of Fundamental Physics and Applications
Univ. of Pisa (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pisa (Italy)
Washington Univ., St. Louis, MO (United States)

Classes of two-nucleon (2N) contact interactions are developed in configuration space at leading order (LO), next-to-leading order (NLO), and next-to-next-to-next-to-leading order (N3LO) by fitting the experimental singlet np scattering length and deuteron binding energy at LO, and np and pp scattering data in the laboratory-energy ranges 0–15 MeV at NLO and 0–25 MeV at N3LO. These interactions are regularized by including two Gaussian cutoffs, one for T = 0 and the other for T = 1 channels. The cutoffs are taken to vary in the ranges R₀ = (1.5 –2.3) fm and R₁ = (1.5 –3.0) fm. The 780 (1100) data points up to 15 (25) MeV energy, primarily differential cross sections, are fitted by the NLO (N3LO) models with a χ²/ datum about 1.7 or less (well below 1.5), when harder cutoff values are adopted. As a first application, we report results for the binding energies of nuclei with mass numbers A = 3 –6 and 16 obtained with selected LO and NLO 2N models both by themselves as well as in combination with a LO three-nucleon (3N) contact interaction. The latter is characterized by a single low-energy constant that is fixed to reproduce the experimental ³H binding energy. The inclusion of the 3N interaction largely removes the sensitivity to cutoff variations in the few-nucleon systems and leads to predictions for the ³He and ⁴He binding energies that cluster around 7.8 and 30 MeV, respectively. However, in ¹⁶O this cutoff sensitivity remains rather strong. Finally, predictions at LO only are also reported for medium-mass nuclei with A = 40 , 48, and 90.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States). Laboratory Computing Resource Center (LCRC); Argonne National Laboratory (ANL), Argonne, IL (United States). Argonne Leadership Computing Facility (ALCF); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; AC05-06OR23177; SC0013617

OSTI ID:: 1785345

Alternate ID(s):: OSTI ID: 1909669

Report Number(s):: DOE/OR/23177-5135; JLAB-THY-21-3314; arXiv:2102.02327

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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