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Title: Emergent properties of nuclei from ab initio coupled-cluster calculations

Abstract

Emergent properties such as nuclear saturation and deformation, and the effects on shell structure due to the proximity of the scattering continuum and particle decay channels are fascinating phenomena in atomic nuclei. In recent years, ab initio approaches to nuclei have taken the first steps towards tackling the computational challenge of describing these phenomena from Hamiltonians with microscopic degrees of freedom. Our endeavor is now possible due to ideas from effective field theories, novel optimization strategies for nuclear interactions, ab initio methods exhibiting a soft scaling with mass number, and ever-increasing computational power. We review some of the recent accomplishments. We also present new results. The recently optimized chiral interaction NNLO$${}_{{\rm{sat}}}$$ is shown to provide an accurate description of both charge radii and binding energies in selected light- and medium-mass nuclei up to 56Ni. We derive an efficient scheme for including continuum effects in coupled-cluster computations of nuclei based on chiral nucleon–nucleon and three-nucleon forces, and present new results for unbound states in the neutron-rich isotopes of oxygen and calcium. Finally, the coupling to the continuum impacts the energies of the $${J}^{\pi }=1/{2}^{-},3/{2}^{-},7/{2}^{-},3/{2}^{+}$$ states in $${}^{\mathrm{17,23,25}}$$O, and—contrary to naive shell-model expectations—the level ordering of the $${J}^{\pi }=3/{2}^{+},5/{2}^{+},9/{2}^{+}$$ states in $${}^{\mathrm{53,55,61}}$$Ca.

Authors:
 [1];  [2];  [3];  [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  2. Michigan State Univ., East Lansing, MI (United States); Univ. of Oslo (Norway)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1286964
Alternate Identifier(s):
OSTI ID: 1253425
Grant/Contract Number:  
AC05-00OR22725; SC0008499; FG02-96ER40963; ERKBP57
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physica Scripta
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 0031-8949
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ab initio computations of nuclei; saturation; effects of continuum on unbound states; deformation

Citation Formats

Hagen, G., Hjorth-Jensen, M., Jansen, G. R., and Papenbrock, T. Emergent properties of nuclei from ab initio coupled-cluster calculations. United States: N. p., 2016. Web. doi:10.1088/0031-8949/91/6/063006.
Hagen, G., Hjorth-Jensen, M., Jansen, G. R., & Papenbrock, T. Emergent properties of nuclei from ab initio coupled-cluster calculations. United States. doi:10.1088/0031-8949/91/6/063006.
Hagen, G., Hjorth-Jensen, M., Jansen, G. R., and Papenbrock, T. Tue . "Emergent properties of nuclei from ab initio coupled-cluster calculations". United States. doi:10.1088/0031-8949/91/6/063006. https://www.osti.gov/servlets/purl/1286964.
@article{osti_1286964,
title = {Emergent properties of nuclei from ab initio coupled-cluster calculations},
author = {Hagen, G. and Hjorth-Jensen, M. and Jansen, G. R. and Papenbrock, T.},
abstractNote = {Emergent properties such as nuclear saturation and deformation, and the effects on shell structure due to the proximity of the scattering continuum and particle decay channels are fascinating phenomena in atomic nuclei. In recent years, ab initio approaches to nuclei have taken the first steps towards tackling the computational challenge of describing these phenomena from Hamiltonians with microscopic degrees of freedom. Our endeavor is now possible due to ideas from effective field theories, novel optimization strategies for nuclear interactions, ab initio methods exhibiting a soft scaling with mass number, and ever-increasing computational power. We review some of the recent accomplishments. We also present new results. The recently optimized chiral interaction NNLO${}_{{\rm{sat}}}$ is shown to provide an accurate description of both charge radii and binding energies in selected light- and medium-mass nuclei up to 56Ni. We derive an efficient scheme for including continuum effects in coupled-cluster computations of nuclei based on chiral nucleon–nucleon and three-nucleon forces, and present new results for unbound states in the neutron-rich isotopes of oxygen and calcium. Finally, the coupling to the continuum impacts the energies of the ${J}^{\pi }=1/{2}^{-},3/{2}^{-},7/{2}^{-},3/{2}^{+}$ states in ${}^{\mathrm{17,23,25}}$O, and—contrary to naive shell-model expectations—the level ordering of the ${J}^{\pi }=3/{2}^{+},5/{2}^{+},9/{2}^{+}$ states in ${}^{\mathrm{53,55,61}}$Ca.},
doi = {10.1088/0031-8949/91/6/063006},
journal = {Physica Scripta},
number = 6,
volume = 91,
place = {United States},
year = {Tue May 17 00:00:00 EDT 2016},
month = {Tue May 17 00:00:00 EDT 2016}
}

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