skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ab initio translationally invariant nucleon-nucleus optical potentials

Journal Article · · Physical Review. C

For this work, we combine the ab initio symmetry-adapted no-core shell model (SA-NCSM) with the single-particle Green's function approach to construct optical potentials rooted in first principles. Specifically, we show that total cross sections and phase shifts for neutron elastic scattering from a 4He target with projectile energies between 0.5 and 10 MeV closely reproduce the experiment. In addition, we discuss an important new development that resolves a long-standing issue with spurious center-of-mass motion in the Green's function formalism for many-body approaches. The new development opens a path for first-principle predictions of cross sections for elastic scattering of single-nucleon projectiles, nucleon capture, and deuteron breakup reactions, feasible for a broad range of open-shell spherical and deformed nuclei in the SA-NCSM approach.

Research Organization:
Louisiana State Univ., Baton Rouge, LA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
SC0023532; FG02-93ER40756; AC52-07NA27344; AC02-05CH11231
OSTI ID:
2281716
Journal Information:
Physical Review. C, Vol. 109, Issue 1; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (68)

White paper: from bound states to the continuum journal November 2020
Unified ab initio approaches to nuclear structure and reactions journal April 2016
Electromagnetic reactions on light nuclei journal November 2014
Quantum Monte Carlo Calculations of Neutron- α Scattering journal July 2007
Complex coupled-cluster approach to an ab-initio description of open quantum systems journal November 2007
Ab Initio Many-Body Calculations of n H 3 , n He 4 , p He 3 , 4 , and n Be 10 Scattering journal August 2008
Ab initio alpha–alpha scattering journal December 2015
Ab initio many-body calculations of nucleon-nucleus scattering journal April 2009
Ab initio leading order effective potentials for elastic nucleon-nucleus scattering journal September 2020
Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei journal November 2022
Giant and pigmy dipole resonances in He 4 , O 16 , 22 , and Ca 40 from chiral nucleon-nucleon interactions journal December 2014
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
Thermal Neutron Captures on d and He 3 journal November 2010
Ab initio calculations of 5H resonant states journal April 2019
Ab initio predictions for polarized deuterium-tritium thermonuclear fusion journal January 2019
Clustering and α -capture reaction rate from ab initio symmetry-adapted descriptions of Ne 20 journal October 2020
Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions book January 2009
Systematic uncertainties in direct reaction theories journal February 2015
Relationship between Feshbach's and Green's Function Theories of the Nucleon–Nucleus Mean Field journal April 2000
Causality and the threshold anomaly of the nucleus-nucleus potential journal February 1986
Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems book May 2008
The scattering of fast nucleons from nuclei journal December 1959
Spectator expansion in multiple scattering theory journal October 1977
Optical potential from first principles journal February 2017
Microscopic optical potentials for calcium isotopes journal October 2018
Ab Initio Optical Potentials and Nucleon Scattering on Medium Mass Nuclei journal August 2019
Elastic proton scattering off nonzero spin nuclei journal January 2022
Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials journal July 2019
Merging ab initio theory and few-body approach for (d, p) reactions journal May 2020
Physics of Nuclei: Key Role of an Emergent Symmetry journal January 2020
Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework journal September 2021
Quantifying uncertainties in neutron- α scattering with chiral nucleon-nucleon and three-nucleon forces journal August 2020
Solution of the n He 4 elastic scattering problem using the Faddeev-Yakubovsky equations journal April 2018
Nucleon- α scattering and resonances in He 5 and Li 5 with JISP16 and Daejeon16 NN interactions journal October 2018
Translation invariance and antisymmetry in the theory of the nucleon optical model journal June 2017
Antisymmetrized, translationally invariant theory of the nucleon optical potential journal April 2019
Spurious center-of-mass motion journal December 1974
Ab initio no core shell model journal March 2013
A method for the elimination of spurious states in the nuclear harmonic oscillator shell model journal November 1960
The use of SU(3) in the elimination of spurious center of mass states journal July 1971
Symmetry-guided large-scale shell-model theory journal July 2016
Projection Operator Approach to the Self-Energy journal January 1996
One-body overlap functions, equations of motion, and phenomenological potentials journal September 2002
The R -matrix theory journal February 2010
Cluster form factor calculation in the ab initio no-core shell model journal November 2004
Translationally invariant density journal July 2004
Transformation brackets for harmonic oscillator functions journal October 1959
Simple Formula for the General Oscillator Brackets journal May 1972
The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code journal December 2001
Effects of the n-n potential core on the spectroscopic sum rules for one-nucleon transfer journal January 1981
Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics journal July 2020
Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections journal December 2003
Structure of Mg 28 and influence of the neutron p f shell journal July 2019
Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities journal April 2019
Impact of Clustering on the Li 8 β Decay and Recoil Form Factors journal May 2022
Neutron-deuteron scattering cross sections with chiral NN interactions using wave-packet continuum discretization journal August 2022
Non-linear Transformations of Divergent and Slowly Convergent Sequences journal April 1955
Ab Initio Calculations of Low-Energy Nuclear Scattering Using Confining Potential Traps journal September 2020
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
An R -matrix package for coupled-channel problems in nuclear physics journal March 2016
Total neutron cross sections of the hydrogen and helium isotopes journal July 1959
Total Cross Section of Helium for Fast Neutrons journal May 1951
Ab Initio Description of the Exotic Unbound He 7 Nucleus journal January 2013
Target excitations and the optical potential for protons scattering from nuclei journal June 1973
Microscopic theory of cluster radioactivity journal February 1998
A Unified Theory of the Nucleus book January 1977
Resonating-group method for nuclear many-body problems journal November 1978
On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure journal December 1937