Operator evolution for ab initio electric dipole transitions of 4He
Abstract
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.
- Authors:
-
- San Diego State Univ., San Diego, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- TRIUMF, Vancouver, BC (Canada)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1249145
- Alternate Identifier(s):
- OSTI ID: 1201029
- Report Number(s):
- LLNL-JRNL-668055
Journal ID: ISSN 0556-2813; PRVCAN
- Grant/Contract Number:
- AC52-07NA27344; FG02-96ER40985; FC02-07ER41457; SCW1158
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Schuster, Micah D., Quaglioni, Sofia, Johnson, Calvin W., Jurgenson, Eric D., and Navartil, Petr. Operator evolution for ab initio electric dipole transitions of 4He. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.92.014320.
Schuster, Micah D., Quaglioni, Sofia, Johnson, Calvin W., Jurgenson, Eric D., & Navartil, Petr. Operator evolution for ab initio electric dipole transitions of 4He. United States. https://doi.org/10.1103/PhysRevC.92.014320
Schuster, Micah D., Quaglioni, Sofia, Johnson, Calvin W., Jurgenson, Eric D., and Navartil, Petr. Fri .
"Operator evolution for ab initio electric dipole transitions of 4He". United States. https://doi.org/10.1103/PhysRevC.92.014320. https://www.osti.gov/servlets/purl/1249145.
@article{osti_1249145,
title = {Operator evolution for ab initio electric dipole transitions of 4He},
author = {Schuster, Micah D. and Quaglioni, Sofia and Johnson, Calvin W. and Jurgenson, Eric D. and Navartil, Petr},
abstractNote = {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.},
doi = {10.1103/PhysRevC.92.014320},
journal = {Physical Review C, Nuclear Physics},
number = 1,
volume = 92,
place = {United States},
year = {Fri Jul 24 00:00:00 EDT 2015},
month = {Fri Jul 24 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Elastic photon scattering from : Charge symmetry problem
journal, August 1992
- Wells, D. P.; Dale, D. S.; Eisenstein, R. A.
- Physical Review C, Vol. 46, Issue 2
Simultaneous measurement of the photodisintegration of in the giant dipole resonance region
journal, October 2005
- Shima, T.; Naito, S.; Nagai, Y.
- Physical Review C, Vol. 72, Issue 4
Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
journal, April 2007
- Stetcu, Ionel; Quaglioni, Sofia; Bacca, Sonia
- Nuclear Physics A, Vol. 785, Issue 3-4
Effective operators within the ab initio no-core shell model
journal, April 2005
- Stetcu, Ionel; Barrett, Bruce R.; Navrátil, Petr
- Physical Review C, Vol. 71, Issue 4
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation
journal, June 2013
- Wendt, K. A.
- Physical Review C, Vol. 87, Issue 6
The inverse of a linear operator
journal, November 1974
- Haydock, R.
- Journal of Physics A: Mathematical, Nuclear and General, Vol. 7, Issue 17
Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces
journal, December 2005
- Haxton, Wick C.; Nollett, Kenneth M.; Zurek, Kathryn M.
- Physical Review C, Vol. 72, Issue 6
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions
journal, March 2013
- Hergert, H.; Bogner, S. K.; Binder, S.
- Physical Review C, Vol. 87, Issue 3
Evolving nuclear many-body forces with the similarity renormalization group
journal, March 2011
- Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
- Physical Review C, Vol. 83, Issue 3
Effective interactions and operators in the no-core shell model
journal, March 2013
- Stetcu, I.; Rotureau, J.
- Progress in Particle and Nuclear Physics, Vol. 69
Dipole Transitions in the Nuclear Photo-Effect
journal, April 1950
- Levinger, J. S.; Bethe, H. A.
- Physical Review, Vol. 78, Issue 2
In-Medium Similarity Renormalization Group For Nuclei
journal, June 2011
- Tsukiyama, K.; Bogner, S. K.; Schwenk, A.
- Physical Review Letters, Vol. 106, Issue 22
Medium-Mass Nuclei with Normal-Ordered Chiral Interactions
journal, July 2012
- Roth, Robert; Binder, Sven; Vobig, Klaus
- Physical Review Letters, Vol. 109, Issue 5
Unitary-Model-Operator Approach to Nuclear Effective Interaction. II: Effects of Three-Body Cluster Term
journal, December 1982
- Suzuki, K.
- Progress of Theoretical Physics, Vol. 68, Issue 6
Giant and pigmy dipole resonances in , , and from chiral nucleon-nucleon interactions
journal, December 2014
- Bacca, S.; Barnea, N.; Hagen, G.
- Physical Review C, Vol. 90, Issue 6
Block diagonalization using similarity renormalization group flow equations
journal, March 2008
- Anderson, E.; Bogner, S. K.; Furnstahl, R. J.
- Physical Review C, Vol. 77, Issue 3
Diagonalization of Hamiltonian and Tamm-Dancoff Equation
journal, November 1954
- Ôkubo, Susumu
- Progress of Theoretical Physics, Vol. 12, Issue 5
New applications of renormalization group methods in nuclear physics
journal, November 2013
- Furnstahl, R. J.; Hebeler, K.
- Reports on Progress in Physics, Vol. 76, Issue 12
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
journal, October 1950
- Lanczos, C.
- Journal of Research of the National Bureau of Standards, Vol. 45, Issue 4
The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions
journal, October 2007
- Efros, V. D.; Leidemann, W.; Orlandini, G.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 12
New inversion methods for the Lorentz Integral Transform
journal, May 2005
- Andreasi, D.; Leidemann, W.; Reiß, C.
- The European Physical Journal A, Vol. 24, Issue 3
Ab initio many-body calculations of nucleon- He scattering with three-nucleon forces
journal, November 2013
- Hupin, Guillaume; Langhammer, Joachim; Navrátil, Petr
- Physical Review C, Vol. 88, Issue 5
Measurement of the reaction from MeV
journal, January 2007
- Nilsson, B.; Adler, J. -O.; Andersson, B. -E.
- Physical Review C, Vol. 75, Issue 1
Photoabsorption on with a Realistic Nuclear Force
journal, March 2006
- Gazit, Doron; Bacca, Sonia; Barnea, Nir
- Physical Review Letters, Vol. 96, Issue 11
Ab Initio Shell Model Calculations with Three-Body Effective Interactions for -Shell Nuclei
journal, April 2002
- Navrátil, Petr; Ormand, W. Erich
- Physical Review Letters, Vol. 88, Issue 15
New Measurement of the Charge Radius of the Neutron
journal, March 1995
- Kopecky, S.; Riehs, P.; Harvey, J. A.
- Physical Review Letters, Vol. 74, Issue 13
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Local three-nucleon interaction from chiral effective field theory
journal, November 2007
- Navrátil, P.
- Few-Body Systems, Vol. 41, Issue 3-4
Electromagnetic Few-Body Response Functions with the Lorentz IntegralTransform Method
journal, June 1999
- Efros, V. D.; Leidemann, W.; Orlandini, G.
- Few-Body Systems, Vol. 26, Issue 2-4
Nuclear polarizability of helium isotopes in atomic transitions
journal, March 2007
- Pachucki, K.; Moro, A. M.
- Physical Review A, Vol. 75, Issue 3
On the rms-radius of the proton
journal, December 2003
- Sick, Ingo
- Physics Letters B, Vol. 576, Issue 1-2
Large-basis ab initio no-core shell model and its application to
journal, October 2000
- Navrátil, P.; Vary, J. P.; Barrett, B. R.
- Physical Review C, Vol. 62, Issue 5
Microscopic calculations of the spectra of light nuclei
journal, September 1993
- Zheng, D. C.; Barrett, B. R.; Jaqua, L.
- Physical Review C, Vol. 48, Issue 3
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
The Dispersion by Hydrogen-Like Atoms in Undulatory Mechanics
journal, March 1928
- Podolsky, B.
- Proceedings of the National Academy of Sciences, Vol. 14, Issue 3
Operator evolution for ab initio theory of light nuclei
journal, July 2014
- Schuster, Micah D.; Quaglioni, Sofia; Johnson, Calvin W.
- Physical Review C, Vol. 90, Issue 1
Few-nucleon systems in a translationally invariant harmonic oscillator basis
journal, March 2000
- Navrátil, P.; Kamuntavičius, G. P.; Barrett, B. R.
- Physical Review C, Vol. 61, Issue 4
Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007
- Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
- Physical Review C, Vol. 75, Issue 6
Alternative similarity renormalization group generators in nuclear structure calculations
journal, September 2014
- Dicaire, Nuiok M.; Omand, Conor; Navrátil, Petr
- Physical Review C, Vol. 90, Issue 3
State-dependent effective interaction for the hyperspherical formalism with noncentral forces
journal, October 2001
- Barnea, Nir; Leidemann, Winfried; Orlandini, Giuseppina
- Nuclear Physics A, Vol. 693, Issue 3-4
Operator evolution via the similarity renormalization group: The deuteron
journal, November 2010
- Anderson, E. R.; Bogner, S. K.; Furnstahl, R. J.
- Physical Review C, Vol. 82, Issue 5
Modern theory of nuclear forces
journal, December 2009
- Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G.
- Reviews of Modern Physics, Vol. 81, Issue 4
Convergent Theory for Effective Interaction in Nuclei
journal, December 1980
- Suzuki, K.; Lee, S. Y.
- Progress of Theoretical Physics, Vol. 64, Issue 6
Nuclear polarization corrections in atoms
journal, October 1977
- Friar, J. L.
- Physical Review C, Vol. 16, Issue 4
Similarity renormalization group with novel generators
journal, November 2011
- Li, W.; Anderson, E. R.; Furnstahl, R. J.
- Physical Review C, Vol. 84, Issue 5
State dependent effective interaction for the hyperspherical formalism
journal, March 2000
- Barnea, Nir; Leidemann, Winfried; Orlandini, Giuseppina
- Physical Review C, Vol. 61, Issue 5
Improved calculation of the muonic-helium Lamb shift
journal, August 1978
- Borie, E.; Rinker, G. A.
- Physical Review A, Vol. 18, Issue 2
Continuum and three-nucleon force effects on energy levels
journal, February 2015
- Langhammer, Joachim; Navrátil, Petr; Quaglioni, Sofia
- Physical Review C, Vol. 91, Issue 2
Analog of the giant dipole resonance in
journal, August 2007
- Nakayama, S.; Matsumoto, E.; Hayami, R.
- Physical Review C, Vol. 76, Issue 2
Predictive theory for elastic scattering and recoil of protons from
journal, December 2014
- Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
- Physical Review C, Vol. 90, Issue 6
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009
- Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 103, Issue 10
Response functions from integral transforms with a Lorentz kernel
journal, October 1994
- Efros, V.
- Physics Letters B, Vol. 338, Issue 2-3
Photodisintegration Cross Section of the Reaction between 22 and 30 MeV
journal, January 2012
- Raut, R.; Tornow, W.; Ahmed, M. W.
- Physical Review Letters, Vol. 108, Issue 4
Spectra and binding energy predictions of chiral interactions for
journal, June 2006
- Nogga, A.; Navrátil, P.; Barrett, B. R.
- Physical Review C, Vol. 73, Issue 6
Electric dipole polarizabilities of hydrogen and helium isotopes
journal, June 2009
- Stetcu, I.; Quaglioni, S.; Friar, J. L.
- Physical Review C, Vol. 79, Issue 6
Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections
journal, December 2003
- Marchisio, M. A.; Barnea, N.; Leidemann, W.
- Few-Body Systems, Vol. 33, Issue 4
Flow-equations for Hamiltonians
journal, January 1994
- Wegner, Franz
- Annalen der Physik, Vol. 506, Issue 2
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
journal, August 2009
- Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
- Physical Review Letters, Vol. 103, Issue 8
Similarity-Transformed Chiral Interactions for the Ab Initio Description of and
journal, August 2011
- Roth, Robert; Langhammer, Joachim; Calci, Angelo
- Physical Review Letters, Vol. 107, Issue 7
The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
journal, September 2007
- Quaglioni, Sofia; Navrátil, Petr
- Physics Letters B, Vol. 652, Issue 5-6
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei
journal, September 2003
- Navrátil, Petr; Ormand, W. Erich
- Physical Review C, Vol. 68, Issue 3
From low-momentum interactions to nuclear structure
journal, July 2010
- Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
- Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
Evolved chiral Hamiltonians for ab initio nuclear structure calculations
journal, August 2014
- Roth, Robert; Calci, Angelo; Langhammer, Joachim
- Physical Review C, Vol. 90, Issue 2