Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Operator evolution for ab initio electric dipole transitions of 4He

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [1];  [2];  [3]
  1. San Diego State Univ., San Diego, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. TRIUMF, Vancouver, BC (Canada)
A goal of nuclear theory is to make quantitative predictions of low-energy nuclear observables starting from accurate microscopic internucleon forces. A major element of such an effort is applying unitary transformations to soften the nuclear Hamiltonian and hence accelerate the convergence of ab initio calculations as a function of the model space size. The consistent simultaneous transformation of external operators, however, has been overlooked in applications of the theory, particularly for nonscalar transitions. We study the evolution of the electric dipole operator in the framework of the similarity renormalization group method and apply the renormalized matrix elements to the calculation of the 4He total photoabsorption cross section and electric dipole polarizability. All observables are calculated within the ab initio no-core shell model. Furthermore, we find that, although seemingly small, the effects of evolved operators on the photoabsorption cross section are comparable in magnitude to the correction produced by including the chiral three-nucleon force and cannot be neglected.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344; FC02-07ER41457; FG02-96ER40985
OSTI ID:
1249145
Alternate ID(s):
OSTI ID: 1201029
Report Number(s):
LLNL-JRNL--668055
Journal Information:
Physical Review C, Nuclear Physics, Journal Name: Physical Review C, Nuclear Physics Journal Issue: 1 Vol. 92; ISSN 0556-2813; ISSN PRVCAN
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (64)

Flow-equations for Hamiltonians journal January 1994
Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections journal December 2003
Local three-nucleon interaction from chiral effective field theory journal November 2007
Electromagnetic Few-Body Response Functions with the Lorentz IntegralTransform Method journal June 1999
Response functions from integral transforms with a Lorentz kernel journal October 1994
Energy levels of light nuclei A = 4 journal May 1992
State-dependent effective interaction for the hyperspherical formalism with noncentral forces journal October 2001
Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system journal April 2007
On the rms-radius of the proton journal December 2003
The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory journal September 2007
Chiral effective field theory and nuclear forces journal June 2011
From low-momentum interactions to nuclear structure journal July 2010
Effective interactions and operators in the no-core shell model journal March 2013
The Dispersion by Hydrogen-Like Atoms in Undulatory Mechanics journal March 1928
New applications of renormalization group methods in nuclear physics journal November 2013
The inverse of a linear operator journal November 1974
The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions journal October 2007
Dipole Transitions in the Nuclear Photo-Effect journal April 1950
Improved calculation of the muonic-helium Lamb shift journal August 1978
Nuclear polarizability of helium isotopes in atomic transitions journal March 2007
Nuclear polarization corrections in μ − He 4 atoms journal October 1977
Elastic photon scattering from He 4 : Charge symmetry problem journal August 1992
Microscopic calculations of the spectra of light nuclei journal September 1993
Few-nucleon systems in a translationally invariant harmonic oscillator basis journal March 2000
State dependent effective interaction for the hyperspherical formalism journal March 2000
Large-basis ab initio no-core shell model and its application to 12 C journal October 2000
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei journal September 2003
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Effective operators within the ab initio no-core shell model journal April 2005
Simultaneous measurement of the photodisintegration of He 4 in the giant dipole resonance region journal October 2005
Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces journal December 2005
Spectra and binding energy predictions of chiral interactions for Li 7 journal June 2006
Measurement of the He 4 ( γ , n ) reaction from 23 < E γ < 70 MeV journal January 2007
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Analog of the giant dipole resonance in He 4 journal August 2007
Block diagonalization using similarity renormalization group flow equations journal March 2008
Electric dipole polarizabilities of hydrogen and helium isotopes journal June 2009
Operator evolution via the similarity renormalization group: The deuteron journal November 2010
Evolving nuclear many-body forces with the similarity renormalization group journal March 2011
Similarity renormalization group with novel generators journal November 2011
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal March 2013
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal June 2013
Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces journal November 2013
Operator evolution for ab initio theory of light nuclei journal July 2014
Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal August 2014
Alternative similarity renormalization group generators in nuclear structure calculations journal September 2014
Predictive theory for elastic scattering and recoil of protons from He 4 journal December 2014
Giant and pigmy dipole resonances in He 4 , O 16 , 22 , and Ca 40 from chiral nucleon-nucleon interactions journal December 2014
Continuum and three-nucleon force effects on Be 9 energy levels journal February 2015
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal September 2009
In-Medium Similarity Renormalization Group For Nuclei journal June 2011
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
Photodisintegration Cross Section of the Reaction He 4 ( γ , p ) H 3 between 22 and 30 MeV journal January 2012
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
New Measurement of the Charge Radius of the Neutron journal March 1995
Ab Initio Shell Model Calculations with Three-Body Effective Interactions for p -Shell Nuclei journal April 2002
Photoabsorption on He 4 with a Realistic Nuclear Force journal March 2006
Modern theory of nuclear forces journal December 2009
New inversion methods for the Lorentz Integral Transform journal May 2005
Diagonalization of Hamiltonian and Tamm-Dancoff Equation journal November 1954
Convergent Theory for Effective Interaction in Nuclei journal December 1980
Unitary-Model-Operator Approach to Nuclear Effective Interaction. II: Effects of Three-Body Cluster Term journal December 1982
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators journal October 1950

Cited By (2)

Ab initio electromagnetic observables with the in-medium similarity renormalization group journal September 2017
Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? journal December 2016

Similar Records

Collective rotation from ab initio theory
Journal Article · Sun Sep 27 20:00:00 EDT 2015 · International Journal of Modern Physics E · OSTI ID:1565383

Direct ab initio calculation of the 4He nuclear electric dipole polarizability
Journal Article · Sun Jul 07 20:00:00 EDT 2024 · Physics Letters. B · OSTI ID:3015533

Ab initio dynamic polarizabilities of polymers. I. Hydrogen chain models
Journal Article · Mon Mar 04 23:00:00 EST 1996 · International Journal of Quantum Chemistry · OSTI ID:232114