Normal-ordering approximations and translational (non)invariance

Djärv, T.; Ekström, A.; Forssén, C.; Jansen, G. R.

doi:10.1103/PhysRevC.104.024324

Title: Normal-ordering approximations and translational (non)invariance

Journal Article · 22 August 2021 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.104.024324 · OSTI ID:1822567

; Ekström, A.;

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725; SC0018223

OSTI ID:: 1822567

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 104; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Spurious center-of-mass motion Gloeckner, D. H.; Lawson, R. D. Physics Letters B, Vol. 53, Issue 4 https://doi.org/10.1016/0370-2693(74)90390-6	journal	December 1974
Bound states of 4He with local interactions Tjon, J. A. Physics Letters B, Vol. 56, Issue 3 https://doi.org/10.1016/0370-2693(75)90378-0	journal	April 1975
Center-of-mass problem in truncated configuration interaction and coupled-cluster calculations Roth, Robert; Gour, Jeffrey R.; Piecuch, Piotr Physics Letters B, Vol. 679, Issue 4 https://doi.org/10.1016/j.physletb.2009.07.071	journal	August 2009
Ab initio path to heavy nuclei Binder, Sven; Langhammer, Joachim; Calci, Angelo Physics Letters B, Vol. 736 https://doi.org/10.1016/j.physletb.2014.07.010	journal	September 2014
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.007	journal	March 2016
Few-nucleon forces and systems in chiral effective field theory Epelbaum, Evgeny Progress in Particle and Nuclear Physics, Vol. 57, Issue 2 https://doi.org/10.1016/j.ppnp.2005.09.002	journal	October 2006
Lattice simulations for few- and many-body systems Lee, Dean Progress in Particle and Nuclear Physics, Vol. 63, Issue 1 https://doi.org/10.1016/j.ppnp.2008.12.001	journal	July 2009
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Signatures of three-nucleon interactions in few-nucleon systems Kalantar-Nayestanaki, N.; Epelbaum, E.; Messchendorp, J. G. Reports on Progress in Physics, Vol. 75, Issue 1 https://doi.org/10.1088/0034-4885/75/1/016301	journal	December 2011
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Ab initio nuclear structure – the large sparse matrix eigenvalue problem Vary, James P.; Maris, Pieter; Ng, Esmond Journal of Physics: Conference Series, Vol. 180 https://doi.org/10.1088/1742-6596/180/1/012083	journal	July 2009
The Evaluation of the Collision Matrix Wick, G. C. Physical Review, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRev.80.268	journal	October 1950
Natural orbitals for many-body expansion methods Hoppe, J.; Tichai, A.; Heinz, M. Physical Review C, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevC.103.014321	journal	January 2021
Few-nucleon systems in a translationally invariant harmonic oscillator basis Navrátil, P.; Kamuntavičius, G. P.; Barrett, B. R. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044001	journal	March 2000
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei Navrátil, Petr; Ormand, W. Erich Physical Review C, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevC.68.034305	journal	September 2003
Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to Li6 and B10 Navrátil, P.; Caurier, E. Physical Review C, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevC.69.014311	journal	January 2004
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034302	journal	September 2007
Extension of coupled-cluster theory with a noniterative treatment of connected triply excited clusters to three-body Hamiltonians Binder, Sven; Piecuch, Piotr; Calci, Angelo Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054319	journal	November 2013
Accurate nuclear radii and binding energies from a chiral interaction Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.051301	journal	May 2015
Open-shell nuclei and excited states from multireference normal-ordered Hamiltonians Gebrerufael, Eskendr; Calci, Angelo; Roth, Robert Physical Review C, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevC.93.031301	journal	March 2016
Ab initio electromagnetic observables with the in-medium similarity renormalization group Parzuchowski, N. M.; Stroberg, S. R.; Navrátil, P. Physical Review C, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevC.96.034324	journal	September 2017
Large-scale exact diagonalizations reveal low-momentum scales of nuclei Forssén, C.; Carlsson, B. D.; Johansson, H. T. Physical Review C, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevC.97.034328	journal	March 2018
Natural orbitals for ab initio no-core shell model calculations Tichai, Alexander; Müller, Julius; Vobig, Klaus Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034321	journal	March 2019
Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review Letters, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevLett.103.062503	journal	August 2009
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions Roth, Robert; Binder, Sven; Vobig, Klaus Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.052501	journal	July 2012
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order Ekström, A.; Baardsen, G.; Forssén, C. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.192502	journal	May 2013
Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions Cipollone, A.; Barbieri, C.; Navrátil, P. Physical Review Letters, Vol. 111, Issue 6 https://doi.org/10.1103/PhysRevLett.111.062501	journal	August 2013
Ab Initio Coupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes Jansen, G. R.; Engel, J.; Hagen, G. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142502	journal	October 2014
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Colloquium : Three-body forces: From cold atoms to nuclei Hammer, Hans-Werner; Nogga, Andreas; Schwenk, Achim Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.197	journal	January 2013
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Nuclear effective field theory: Status and perspectives Hammer, H. -W.; König, Sebastian; van Kolck, U. Reviews of Modern Physics, Vol. 92, Issue 2 https://doi.org/10.1103/RevModPhys.92.025004	journal	June 2020
Normal-ordered k-body approximation in particle-number-breaking theories Ripoche, J.; Tichai, A.; Duguet, T. The European Physical Journal A, Vol. 56, Issue 2 https://doi.org/10.1140/epja/s10050-020-00045-8	journal	February 2020
In-medium k-body reduction of n-body operators: A flexible symmetry-conserving approach based on the sole one-body density matrix Frosini, M.; Duguet, T.; Bally, B. The European Physical Journal A, Vol. 57, Issue 4 https://doi.org/10.1140/epja/s10050-021-00458-z	journal	April 2021
Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems Dickhoff, Willem H.; Van Neck, Dimitri https://doi.org/10.1142/6821	book	May 2008
Pion Theory of Three-Body Forces Fujita, Jun-ichi; Miyazawa, Hironari Progress of Theoretical Physics, Vol. 17, Issue 3 https://doi.org/10.1143/PTP.17.360	journal	March 1957

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Title: Normal-ordering approximations and translational (non)invariance

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