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

Title: Chiral uncertainties in ab initio elastic nucleon-nucleus scattering

Journal Article · · Frontiers in Physics
 [1];  [2];  [1];  [2];  [3];  [1];  [4]
  1. Ohio University, Athens, OH (United States)
  2. Louisiana State University, Baton Rouge, LA (United States)
  3. Iowa State University, Ames, IA (United States)
  4. Eckerd College, St. Petersburg, FL (United States)

The effective interaction between a nucleon and a nucleus is one of the most important ingredients for reaction theories. Theoretical formulations were introduced early by Feshbach and Watson, and efforts of deriving and computing those ‘optical potentials’ in a microscopic fashion have a long tradition. However, only recently the leading order term in the Watson multiple scattering approach could be calculated fully ab initio, meaning that the same nucleon-nucleon (NN) interaction enters both the structure as well as the reaction pieces on equal footing. This allows the uncertainties from the underlying chiral effective NN interaction to be systematically explored in nucleon-nucleus elastic scattering observables. In this contribution the main ingredients for arriving at the ab initio leading order of the effective nucleon-nucleus interaction in the Watson approach will be reviewed. Concentrating on one specific chiral NN interaction from the LENPIC collaboration and light nuclei with a 0+ ground state, the leading order nucleon-nucleus interaction is calculated using up to the third chiral order (N2LO) in the nucleon-nucleon potential, and elastic scattering observables are extracted. Then pointwise as well as correlated uncertainty quantification is used for the estimation of the chiral truncation error. Elastic scattering observables for 4He, 12C, and 16O for between 65 and 200 MeV projectile energy will be analyzed.

Research Organization:
Ohio Univ., Athens, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
FG02-93ER40756; SC0018223; SC0023495; PHY-1913728; AC02-05CH11231
OSTI ID:
1975965
Journal Information:
Frontiers in Physics, Vol. 10; ISSN 2296-424X
Publisher:
Frontiers Research FoundationCopyright Statement
Country of Publication:
United States
Language:
English

References (75)

Proton- He 4 elastic scattering at intermediate energies journal May 1980
The scattering of fast nucleons from nuclei journal December 1959
Accelerating many-nucleon basis generation for high performance computing enabled ab initio nuclear structure studies journal March 2019
Ab initio no core shell model journal March 2013
Symmetry-guided large-scale shell-model theory journal July 2016
Optical potential from first principles journal February 2017
Unified theory of nuclear reactions journal December 1958
Spectator expansion in multiple scattering theory journal October 1977
Efficient algorithm for representations of U(3) in U(N) journal November 2019
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces journal April 2016
Global Dirac phenomenology for proton-nucleus elastic scattering journal January 1993
Center-of-mass corrections reexamined: A many-body expansion approach journal September 1999
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion journal September 2015
Properties of 12 C in the Ab Initio Nuclear Shell Model journal June 2000
65 MeV polarized proton elastic scattering and the effective two-body interaction range journal December 1979
Correlation expansion of the optical potential journal August 1977
Relativistic (Dirac equation) effects in microscopic elastic scattering calculations journal April 1985
Few-nucleon forces and systems in chiral effective field theory journal October 2006
Elastic scattering of 100 MeV protons from 3 He and 4 He journal November 1970
Multiple scattering theory of proton elastic scattering at intermediate energies journal July 1992
Full-folding optical potentials in elastic proton-nucleus scattering journal March 1990
Ab initio leading order effective potentials for elastic nucleon-nucleus scattering journal September 2020
Effect of spin-spin interactions on nucleon-nucleus scattering journal May 2013
Elastic proton scattering off nonzero spin nuclei journal January 2022
Application of multiple scattering theory to lower-energy elastic nucleon-nucleus scattering journal March 1995
Towards high-order calculations of three-nucleon scattering in chiral effective field theory journal March 2020
Isospin effects in elastic proton-nucleus scattering journal May 1993
Polarization and cross section measurements for p-4He elastic scattering at 45, 52, 60 and 65 MeV journal August 1979
Translationally invariant density journal July 2004
Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory journal February 2018
A multifoil carbon polarimeter for protons between 20 and 84 MeV
  • Ieiri, M.; Sakaguchi, H.; Nakamura, M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 257, Issue 2 https://doi.org/10.1016/0168-9002(87)90744-3
journal June 1987
Role of the tensor exchange potential in nucleon-nucleus scattering journal October 2011
Elastic Scattering of 96-Mev Protons journal October 1957
Ab Initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model journal August 2007
Theory of Disintegration of Nuclei by Neutrons journal May 1935
Chiral effective field theory and nuclear forces journal June 2011
Proton scattering from C 12 between 120 and 200 MeV and the optical potential journal February 1983
Density dependence in the two-nucleon effective interaction at 135 MeV journal April 1989
The Optical Model and Its Justification journal December 1958
Nucleon-nucleon scattering in a three dimensional approach journal September 2000
Lithium isotopes within the ab initio no-core full configuration approach journal September 2012
Direct Excitation of Nuclear Energy States in Carbon by 96-Mev Protons journal July 1956
Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver journal January 2018
Microscopic formulation of medium contributions to the first-order optical potential journal December 1993
Modern theory of nuclear forces journal December 2009
Improving the scalability of a symmetric iterative eigensolver for multi-core platforms: IMPROVING THE SCALABILITY OF A SYMMETRIC ITERATIVE EIGENSOLVER journal September 2013
Nonrelativistic full-folding model of nucleon elastic scattering at intermediate energies journal May 1990
Role of nuclear densities in nucleon elastic scattering journal August 1990
Full-folding optical potentials for elastic nucleon-nucleus scattering based on realistic densities journal October 1997
Light nuclei with semilocal momentum-space regularized chiral interactions up to third order journal May 2021
Propagator modifications in elastic nucleon-nucleus scattering within the spectator expansion journal October 1995
p − 4 He scattering: New data and a phase-shift analysis between 30 and 72 MeV journal January 1989
Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework journal September 2021
Effective interactions and nuclear structure using 180 MeV protons. I.O16(p,p’) journal June 1990
Quantifying correlated truncation errors in effective field theory journal October 2019
Multiple scattering expansion with distortion journal December 1980
Ab Initio Optical Potentials and Nucleon Scattering on Medium Mass Nuclei journal August 2019
Inelastic scattering of 65 MeV protons from C 12 , Mg 24 , Si 28 , and S 32 journal May 1985
Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order journal May 2018
On the separability of microscopic optical model potentials and emerging bell-shape Perey–Buck nonlocality journal July 2022
Self-consistent Green's function method for nuclei and nuclear matter journal April 2004
Impact of three-body forces on elastic nucleon-nucleus scattering observables journal February 2021
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order journal May 2015
Vanishing closure correction in the second-order optical potential journal February 1978
Physics of Nuclei: Key Role of an Emergent Symmetry journal January 2020
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces journal July 2018
Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering journal May 2021
Two-nucleon systems in three dimensions journal March 2010
Full folding calculations for proton-nucleus elastic scattering at intermediate energies journal May 1990
Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties journal December 2022
Quantifying truncation errors in effective field theory journal August 2015
Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities journal March 2018
Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables journal August 2017
Translationally invariant matrix elements of general one-body operators journal December 2021
High-quality two-nucleon potentials up to fifth order of the chiral expansion journal August 2017