skip to main content
OSTI.GOV 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
Report Number(s):
LLNL-JRNL-753608; 938751
Journal Information:
European Physical Journal Plus, Vol. 133, Issue 9; ISSN 2190-5444
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (119)

Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups journal May 1997
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal June 2013
Three-body systems with Lagrange-mesh techniques in hyperspherical coordinates journal April 2003
Ab initio no core shell model journal March 2013
Evolving nuclear many-body forces with the similarity renormalization group journal March 2011
Microscopic description of translationally invariant core + N + N overlap functions journal January 2014
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
Nuclear Reactions in Stars Without Hydrogen. journal March 1952
The “cluster model” of the atomic nuclei journal June 1958
Energy levels of light nuclei A=5, 6, 7 journal September 2002
Elastic proton scattering on tritium below the n He 3 threshold journal May 2009
Ab initio many-body calculations of nucleon-nucleus scattering journal April 2009
Few-nucleon forces from chiral Lagrangians journal June 1994
Four-nucleon force in chiral effective field theory journal August 2006
Determination of the 6 Li α + d asymptotic D - to S -state ratio by a restricted phase shift analysis journal February 1999
Coulomb-Sturmian basis for the nuclear many-body problem journal September 2012
Four-nucleon scattering: Ab initio calculations in momentum space journal January 2007
Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces journal May 2015
Large basis ab initio shell model investigation of Be 9 and Be 11 journal April 2005
Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods journal November 2012
Local three-nucleon interaction from chiral effective field theory journal November 2007
N d elastic scattering using the hyperspherical harmonics approach with realistic local and nonlocal interactions journal September 2009
Three-body continuum states on a Lagrange mesh journal February 2006
Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? journal December 2016
Nuclear reactions in stellar helium burning and later hydrostatic burning stages journal October 2006
Quantum Mechanics book January 1998
Proton radii of He 4 , 6 , 8 isotopes from high-precision nucleon-nucleon interactions journal February 2006
Chiral EFT based nuclear forces: achievements and challenges journal July 2016
Nuclear forces from chiral lagrangians journal November 1990
Microscopic theory of cluster radioactivity journal February 1998
Three-cluster dynamics within an ab initio framework journal September 2013
Few-nucleon systems in a translationally invariant harmonic oscillator basis journal March 2000
Order of Levels in the Shell Model and Spin of Be 11 journal May 1960
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal March 2013
On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. journal September 1954
Alternative similarity renormalization group generators in nuclear structure calculations journal September 2014
Coupled-channel R-matrix method on a Lagrange mesh journal September 1998
Halo nuclei He 6 and He 8 with the Coulomb-Sturmian basis journal September 2014
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
Hyperspherical wave functions with orthogonal and permutational symmetry journal January 1998
Continuum and three-nucleon force effects on Be 9 energy levels journal February 2015
Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions journal April 2001
In-medium similarity renormalization group for open-shell nuclei journal June 2012
Influence of the electronic chaotic motion on the fusion dynamics at astrophysical energies journal September 2005
New excited states in the halo nucleus 6He journal December 2012
Structure and reactions of quantum halos journal February 2004
Three-nucleon forces from chiral effective field theory journal December 2002
The C 12 ( α , γ ) O 16 reaction and its implications for stellar helium burning journal September 2017
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
Clustering and other exotic phenomena in nuclei journal April 2008
Solar fusion cross sections. II. The p p chain and CNO cycles journal April 2011
Ab Initio Many-Body Calculations of n H 3 , n He 4 , p He 3 , 4 , and n Be 10 Scattering journal August 2008
Importance truncation for large-scale configuration interaction approaches journal June 2009
Unified ab initio approaches to nuclear structure and reactions journal April 2016
Natural orbital description of the halo nucleus 6He journal November 2017
Flow-equations for Hamiltonians journal January 1994
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code journal December 2001
Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields journal December 2004
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei journal September 2003
From low-momentum interactions to nuclear structure journal July 2010
Ab Initio Calculation of the Spectrum and Structure of O 16 journal March 2014
Resonating-group method for nuclear many-body problems journal November 1978
Ab Initio Description of the Exotic Unbound He 7 Nucleus journal January 2013
He 4 experiments can serve as a database for determining the three-nucleon force journal April 2008
Testing nonlocal nucleon-nucleon interactions in four-nucleon systems journal October 2004
The R -matrix theory journal February 2010
The structure of the resonating group equation journal March 1982
Quantum Theory of Angular Momentum book October 1988
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal September 2010
Laser Spectroscopic Determination of the H 6 e Nuclear Charge Radius journal September 2004
A Unified Theory of the Nucleus book January 1977
Weak transitions in A = 6 and 7 nuclei journal April 2002
Auxiliary Field Diffusion Monte Carlo Calculation of Nuclei with A 40 with Tensor Interactions journal July 2007
Ab initio many-body calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mmultiscripts><mml:mi mathvariant="normal">Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>7</mml:mn></mml:mmultiscripts><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mmultiscripts><mml:mi mathvariant="normal">B</mml:mi><mml:mprescripts/><mml:none/><mml:mn>8</mml:mn></mml:mmultiscripts></mml:math> radiative capture journal October 2011
Recent developments in no-core shell-model calculations journal May 2009
Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces journal November 2013
Quantum Monte Carlo Calculations of Neutron- α Scattering journal July 2007
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states journal May 2008
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal December 2001
Coupled-cluster computations of atomic nuclei journal September 2014
Collective Modes in Light Nuclei from First Principles journal December 2013
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal September 1991
Measurements of interaction cross sections and radii of He isotopes journal October 1985
Large-basis ab initio no-core shell model and its application to 12 C journal October 2000
Molecular Viewpoints in Nuclear Structure journal December 1937
Matter and charge radius of 6 He in the hyperspherical-harmonics approach journal September 2012
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal February 2016
Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions journal June 2013
How Many-Body Correlations and α Clustering Shape He 6 journal November 2016
Gamow Shell Model Description of Neutron-Rich Nuclei journal July 2002
Operator evolution for ab initio theory of light nuclei journal July 2014
Ab initio alpha–alpha scattering journal December 2015
Measurements of Interaction Cross Sections and Nuclear Radii in the Light p -Shell Region journal December 1985
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
State-dependent effective interaction for the hyperspherical formalism with noncentral forces journal October 2001
Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions journal August 2013
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
State dependent effective interaction for the hyperspherical formalism journal March 2000
Elastic proton scattering of medium mass nuclei from coupled-cluster theory journal August 2012
Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials journal July 2006
Nucleon-nucleon potential from an effective chiral Lagrangian journal March 1994
Momentum-space evolution of chiral three-nucleon forces journal February 2012
Predictive theory for elastic scattering and recoil of protons from He 4 journal December 2014
Nd elastic scattering as a tool to probe properties of 3 N forces journal January 2001
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
Operator evolution for ab initio electric dipole transitions of He 4 journal July 2015
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
Six-body calculation of the α -deuteron radiative capture cross section journal January 2001
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Four-Body Calculation of Proton- He 3 Scattering journal April 2007
Solving the resonating-group equation on a Lagrange mesh journal October 2002
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
Activation Measurement of the He 3 ( α , γ ) Be 7 Cross Section at Low Energy journal September 2006
Solar fusion cross sections journal October 1998
Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal August 2014
Gamow shell model description of weakly bound nuclei and unbound nuclear states journal May 2003
He 4 + n + n Continuum within an Ab initio Framework journal July 2014

Figures / Tables (26)


Similar Records

Ab initio no core calculations of light nuclei and preludes to Hamiltonian quantum field theory
Conference · Mon Aug 03 00:00:00 EDT 2009 · OSTI ID:1481096

Ab initio no core calculations of light nuclei and preludes to Hamiltonian quantum field theory
Journal Article · Thu Dec 17 00:00:00 EST 2009 · AIP Conference Proceedings · OSTI ID:1481096

Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
Journal Article · Mon Jun 29 00:00:00 EDT 2015 · Physical Review C · OSTI ID:1481096