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Title: Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group

Abstract

We merge two successful ab initio nuclear-structure methods, the no-core shell model (NCSM) and the multireference in-medium similarity renormalization group (IM-SRG) to define a new many-body approach for the comprehensive description of ground and excited states of closed and open-shell nuclei. Building on the key advantages of the two methods—the decoupling of excitations at the many-body level in the IM-SRG and the access to arbitrary nuclei, eigenstates, and observables in the NCSM—their combination enables fully converged no-core calculations for an unprecedented range of nuclei and observables at moderate computational cost. We present applications in the carbon and oxygen isotopic chains, where conventional NCSM calculations are still feasible and provide an important benchmark. In conclusion, the effciency and rapid convergence of the new approach make it ideally suited for ab initio studies of the complete spectroscopy of nuclei up into the medium-mass regime.

Authors:
 [1];  [1];  [2];  [1]
  1. Technische Univ. Darmstadt, Darmstadt (Germany). Inst. fur Kernphysik
  2. Michigan State Univ., East Lansing, MI (United States). NSCL/FRIB Lab. and Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1544397
Alternate Identifier(s):
OSTI ID: 1351697
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Gebrerufael, Eskendr, Vobig, Klaus, Hergert, Heiko, and Roth, Robert. Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.152503.
Gebrerufael, Eskendr, Vobig, Klaus, Hergert, Heiko, & Roth, Robert. Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group. United States. doi:10.1103/PhysRevLett.118.152503.
Gebrerufael, Eskendr, Vobig, Klaus, Hergert, Heiko, and Roth, Robert. Wed . "Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group". United States. doi:10.1103/PhysRevLett.118.152503. https://www.osti.gov/servlets/purl/1544397.
@article{osti_1544397,
title = {Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group},
author = {Gebrerufael, Eskendr and Vobig, Klaus and Hergert, Heiko and Roth, Robert},
abstractNote = {We merge two successful ab initio nuclear-structure methods, the no-core shell model (NCSM) and the multireference in-medium similarity renormalization group (IM-SRG) to define a new many-body approach for the comprehensive description of ground and excited states of closed and open-shell nuclei. Building on the key advantages of the two methods—the decoupling of excitations at the many-body level in the IM-SRG and the access to arbitrary nuclei, eigenstates, and observables in the NCSM—their combination enables fully converged no-core calculations for an unprecedented range of nuclei and observables at moderate computational cost. We present applications in the carbon and oxygen isotopic chains, where conventional NCSM calculations are still feasible and provide an important benchmark. In conclusion, the effciency and rapid convergence of the new approach make it ideally suited for ab initio studies of the complete spectroscopy of nuclei up into the medium-mass regime.},
doi = {10.1103/PhysRevLett.118.152503},
journal = {Physical Review Letters},
number = 15,
volume = 118,
place = {United States},
year = {2017},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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Figures / Tables:

FIG. 1. FIG. 1.: (color online) Evolution of the ground-state energies in 12C and 20O. Depicted is the zero-body part of the flowing Hamiltonianmore » $E(s)$ (black solid line) and the lowest eigenvalue of $H(s)$ obtained in IM-NCSM calculations for $N$max(see document). All calculations use a HF basis with $e$max = 12 and $\hslash$$Ω$ = 20 MeV. The horizontal grey band shows the importancetruncated NCSM result with explicit 3N interaction in the HO basis including the extrapolation uncertainties. The vertical gray band represents the range of flow parameters $s$max=2 to $s$max for the quantification of uncertainties (see text).« less

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.