Abstract
We compute the medium-mass nuclei O16 and Ca40 using pion-less effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimental data for nuclei with mass numbers A=2 and 3, or alternatively to results from lattice quantum chromodynamics at an unphysical pion mass of 806 MeV. The EFT is implemented through a discrete variable representation in the harmonic oscillator basis. This approach ensures rapid convergence with respect to the size of the model space and facilitates the computation of medium-mass nuclei. At NLO the nuclei O16 and Ca40 are bound with respect to decay into alpha particles. Binding energies per nucleon are 9-10 MeV and 21-40 MeV at pion masses of 140 and 806 MeV, respectively.
| Original language | English |
|---|---|
| Article number | 054301 |
| Journal | Physical Review C |
| Volume | 98 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 1 2018 |
Funding
We thank B. Acharya, D. Furnstahl, L. Platter, and G. Rupak for useful discussions. We also thank B. van Kolck, D. Phillips, and I. Stetcu for questions and discussions during the program INT 17-1a “Toward Predictive Theories of Nuclear Reactions Across the Isotopic Chart,” and D. Phillips for several useful communications. This material is based upon work supported in part by the US Department of Energy, Office of Science, Office of Nuclear Physics, under Awards No. DE-FG02-96ER40963 (University of Tennessee), No. DE-SC0008499, No. DE-SC0018223 (SciDAC NUCLEI Collaboration), the Field Work Proposal ERKBP57 at Oak Ridge National Laboratory (ORNL), the Leadership Computing Facility at ORNL under Contract No. DEAC05-00OR22725 (ORNL), Swedish Research Council under Grant No. 2015-00225, and Marie Sklodowska Curie Actions, Cofund Project No. INCA 600398. S.B. gratefully acknowledges the financial support from the Alexander-von-Humboldt Foundation (Feodor-Lynen fellowship). This manuscript has been authored by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the US Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a nonexclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan. ( http://energy.gov/downloads/doe-public-access-plan ).
| Funders | Funder number |
|---|---|
| U.S. Department of Energy | |
| Alexander von Humboldt-Stiftung | |
| Office of Science | |
| Nuclear Physics | DE-FG02-96ER40963 |
| Oak Ridge National Laboratory | DEAC05-00OR22725 |
| University of Tennessee | DE-SC0018223, DE-SC0008499 |
| H2020 Marie Skłodowska-Curie Actions | INCA 600398 |
| Seventh Framework Programme | 600398 |
| Vetenskapsrådet | 2015-00225 |