DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory

Journal Article · · European Physical Journal Plus
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Light nuclei display a wide variety of phenomena: from stable bound states, to rare unstable isotopes and transient resonances, to mutual dynamical interactions during a reaction. Here, after an overview of these phenomena, basic formalism and concepts in ab initio nuclear structure and reaction theory are introduced, followed by selected examples of how powerful techniques for the description of the nuclear force and the solution of the nuclear quantum many-body problem combined with cutting-edge high-performance computing are enabling a comprehensive understanding of light exotic nuclei and thermonuclear reactions that play an important role in the Cosmos and on Earth.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1481096
Alternate ID(s):
OSTI ID: 22856866
Report Number(s):
LLNL-JRNL--753608; {"Journal ID: ISSN 2190-5444",938751}
Journal Information:
European Physical Journal Plus, Journal Name: European Physical Journal Plus Journal Issue: 9 Vol. 133; ISSN 2190-5444
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (119)

First Direct Mass Measurement of the Two-Neutron Halo Nucleus He 6 and Improved Mass for the Four-Neutron Halo He 8 journal January 2012
The “cluster model” of the atomic nuclei journal June 1958
Chiral EFT based nuclear forces: achievements and challenges journal July 2016
Ab Initio Description of the Exotic Unbound He 7 Nucleus journal January 2013
Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups journal May 1997
Four-nucleon force in chiral effective field theory journal August 2006
The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code journal December 2001
Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions journal June 2013
A Unified Theory of the Nucleus book January 1977
Ab Initio Many-Body Calculations of n − H 3 , n − He 4 , p − He 3 , 4 , and n − Be 10 Scattering journal August 2008
Nuclear reactions in stellar helium burning and later hydrostatic burning stages journal October 2006
Recent developments in no-core shell-model calculations journal May 2009
Halo nuclei He 6 and He 8 with the Coulomb-Sturmian basis journal September 2014
N − d elastic scattering using the hyperspherical harmonics approach with realistic local and nonlocal interactions journal September 2009
New excited states in the halo nucleus 6He journal December 2012
Operator evolution for ab initio theory of light nuclei journal July 2014
The structure of the resonating group equation journal March 1982
Microscopic theory of cluster radioactivity journal February 1998
Solar fusion cross sections. II. The p p chain and CNO cycles journal April 2011
Determination of the 6 Li → α + d asymptotic D - to S -state ratio by a restricted phase shift analysis journal February 1999
Large basis ab initio shell model investigation of Be 9 and Be 11 journal April 2005
Ab initio alpha–alpha scattering journal December 2015
He 4 experiments can serve as a database for determining the three-nucleon force journal April 2008
Ab Initio Many-Body Calculations of the H 3 ( d , n ) He 4 and He 3 ( d , p ) He 4 Fusion Reactions journal January 2012
Proton radii of He 4 , 6 , 8 isotopes from high-precision nucleon-nucleon interactions journal February 2006
Resonating-group method for nuclear many-body problems journal November 1978
Collective Modes in Light Nuclei from First Principles journal December 2013
Ab initio many-body calculations of nucleon-nucleus scattering journal April 2009
How Many-Body Correlations and α Clustering Shape He 6 journal November 2016
Coupled-channel R-matrix method on a Lagrange mesh journal September 1998
The R -matrix theory journal February 2010
Order of Levels in the Shell Model and Spin of Be 11 journal May 1960
Hyperspherical wave functions with orthogonal and permutational symmetry journal January 1998
Microscopic Calculation of the He 3 ( α , γ ) Be 7 and H 3 ( α , γ ) Li 7 Capture Cross Sections Using Realistic Interactions journal January 2011
Predictive theory for elastic scattering and recoil of protons from He 4 journal December 2014
Testing nonlocal nucleon-nucleon interactions in four-nucleon systems journal October 2004
Solving the resonating-group equation on a Lagrange mesh journal October 2002
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Three-body systems with Lagrange-mesh techniques in hyperspherical coordinates journal April 2003
Three-cluster dynamics within an ab initio framework journal September 2013
Nuclear Reactions in Stars Without Hydrogen. journal March 1952
From low-momentum interactions to nuclear structure journal July 2010
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
Operator evolution for ab initio electric dipole transitions of He 4 journal July 2015
Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? journal December 2016
Few-nucleon forces from chiral Lagrangians journal June 1994
Microscopic description of translationally invariant core + N + N overlap functions journal January 2014
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal June 2013
Alternative similarity renormalization group generators in nuclear structure calculations journal September 2014
Laser Spectroscopic Determination of the H 6 e Nuclear Charge Radius journal September 2004
Activation Measurement of the He 3 ( α , γ ) Be 7 Cross Section at Low Energy journal September 2006
State dependent effective interaction for the hyperspherical formalism journal March 2000
The C 12 ( α , γ ) O 16 reaction and its implications for stellar helium burning journal September 2017
Ab Initio Calculation of the Spectrum and Structure of O 16 journal March 2014
Flow-equations for Hamiltonians journal January 1994
Nd elastic scattering as a tool to probe properties of 3 N forces journal January 2001
Local three-nucleon interaction from chiral effective field theory journal November 2007
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal February 2016
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal September 2010
Solar fusion cross sections journal October 1998
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states journal May 2008
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal March 2013
Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods journal November 2012
Nucleon-nucleon potential from an effective chiral Lagrangian journal March 1994
On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. journal September 1954
Auxiliary Field Diffusion Monte Carlo Calculation of Nuclei with A ≤ 40 with Tensor Interactions journal July 2007
Measurements of interaction cross sections and radii of He isotopes journal October 1985
Measurements of Interaction Cross Sections and Nuclear Radii in the Light p -Shell Region journal December 1985
Energy levels of light nuclei A=5, 6, 7 journal September 2002
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal December 2001
Influence of the electronic chaotic motion on the fusion dynamics at astrophysical energies journal September 2005
Quantum Monte Carlo Calculations of Neutron- α Scattering journal July 2007
Structure and reactions of quantum halos journal February 2004
Unified ab initio approaches to nuclear structure and reactions journal April 2016
Gamow Shell Model Description of Neutron-Rich Nuclei journal July 2002
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei journal September 2003
Evolving nuclear many-body forces with the similarity renormalization group journal March 2011
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
Elastic proton scattering of medium mass nuclei from coupled-cluster theory journal August 2012
Clustering and other exotic phenomena in nuclei journal April 2008
Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces journal May 2015
Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions journal April 2001
He 3 ( α , γ ) Be 7 and H 3 ( α , γ ) Li 7 astrophysical S factors from the no-core shell model with continuum journal June 2016
Quantum Mechanics book January 1998
Gamow shell model description of weakly bound nuclei and unbound nuclear states journal May 2003
Coulomb-Sturmian basis for the nuclear many-body problem journal September 2012
Continuum and three-nucleon force effects on Be 9 energy levels journal February 2015
Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions journal August 2013
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Quantum Theory of Angular Momentum book October 1988
Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He 6 journal March 2018
He 4 + n + n Continuum within an Ab initio Framework journal July 2014
Weak transitions in A = 6 and 7 nuclei journal April 2002
Four-Body Calculation of Proton- He 3 Scattering journal April 2007
Natural orbital description of the halo nucleus 6He journal November 2017
Large-basis ab initio no-core shell model and its application to 12 C journal October 2000
Elastic proton scattering on tritium below the n − He 3 threshold journal May 2009
State-dependent effective interaction for the hyperspherical formalism with noncentral forces journal October 2001
Ab initio many-body calculation of the Be7(p,γ)B8 radiative capture journal October 2011
Matter and charge radius of 6 He in the hyperspherical-harmonics approach journal September 2012
Few-nucleon systems in a translationally invariant harmonic oscillator basis journal March 2000
Four-nucleon scattering: Ab initio calculations in momentum space journal January 2007
Molecular Viewpoints in Nuclear Structure journal December 1937
Nuclear forces from chiral lagrangians journal November 1990
Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal August 2014
Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields journal December 2004
Momentum-space evolution of chiral three-nucleon forces journal February 2012
Ab initio no core shell model journal March 2013
In-medium similarity renormalization group for open-shell nuclei journal June 2012
Three-body continuum states on a Lagrange mesh journal February 2006
Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces journal November 2013
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal September 1991
Importance truncation for large-scale configuration interaction approaches journal June 2009
Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials journal July 2006
Three-nucleon forces from chiral effective field theory journal December 2002
Coupled-cluster computations of atomic nuclei journal September 2014
Six-body calculation of the α -deuteron radiative capture cross section journal January 2001

Cited By (1)

Gamow-shell-model description of Li isotopes and their mirror partners journal August 2020