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

Journal Article · · Physical Review Letters
 [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

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.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1544397
Alternate ID(s):
OSTI ID: 1351697
Journal Information:
Physical Review Letters, Vol. 118, Issue 15; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 48 works
Citation information provided by
Web of Science

References (46)

Structure of A = 10 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory journal July 2007
Left-eigenstate completely renormalized equation-of-motion coupled-cluster methods: Review of key concepts, extension to excited states of open-shell systems, and comparison with electron-attached and ionized approaches journal November 2009
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal June 2013
Ab initio no core shell model journal March 2013
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal March 2013
Evolving nuclear many-body forces with the similarity renormalization group journal March 2011
C 12 properties with evolved chiral three-nucleon interactions journal July 2014
Toward open-shell nuclei with coupled-cluster theory journal May 2011
Spurious center-of-mass motion journal December 1974
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians journal May 2016
The nuclear shell model towards the drip lines journal January 2001
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
Ab initio calculations of medium-mass nuclei with explicit chiral 3 N interactions journal February 2013
Recent developments in no-core shell-model calculations journal May 2009
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Normal ordering and a Wick-like reduction theorem for fermions with respect to a multi-determinantal reference state journal August 1997
Local three-nucleon interaction from chiral effective field theory journal November 2007
Ab initio path to heavy nuclei journal September 2014
The shell model as a unified view of nuclear structure journal June 2005
Clusters and halos in light nuclei journal December 2012
Ab initio nuclear structure – the large sparse matrix eigenvalue problem journal July 2009
Ab initio multireference in-medium similarity renormalization group calculations of even calcium and nickel isotopes journal October 2014
Nucleus-Dependent Valence-Space Approach to Nuclear Structure journal January 2017
Open s d -shell nuclei from first principles journal July 2016
Ab Initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model journal August 2007
Coupled-cluster theory for three-body Hamiltonians journal September 2007
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Determination of nuclear radii for unstable states in C 12 with diffraction inelastic scattering journal November 2009
Bound states of a many-particle system journal June 1958
Normal order and extended Wick theorem for a multiconfiguration reference wave function journal July 1997
Convergent Theory for Effective Interaction in Nuclei journal December 1980
The no-core shell model with general radial bases journal December 2012
Momentum-space evolution of chiral three-nucleon forces journal February 2012
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group journal October 2014
In-medium similarity renormalization group for open-shell nuclei journal June 2012
Ab Initio Coupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes journal October 2014
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal March 2016
Importance truncation for large-scale configuration interaction approaches journal June 2009
Open-shell nuclei and excited states from multireference normal-ordered Hamiltonians journal March 2016
Structure of the Hoyle State in C 12 journal January 2007
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
An algebraic proof of generalized Wick theorem journal June 2010
In-medium similarity renormalization group for closed and open-shell nuclei journal December 2016
Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal August 2014
Structure and Rotations of the Hoyle State journal December 2012

Cited By (5)

Driven similarity renormalization group for excited states: A state-averaged perturbation theory journal March 2018
Many-body calculations with deuteron based single-particle bases and their associated natural orbits journal April 2018
Nuclear Structure from the In-Medium Similarity Renormalization Group journal June 2018
A Minimal Nuclear Energy Density Functional text January 2017
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text January 2018

Figures / Tables (4)


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