Continuum and three-nucleon force effects on Be9 energy levels

Langhammer, Joachim; Navrátil, Petr; Quaglioni, Sofia; Hupin, Guillaume; Calci, Angelo; Roth, Robert

doi:10.1103/PhysRevC.91.021301

Title: Continuum and three-nucleon force effects on ${}^{9}{Be}$ energy levels

Journal Article · Thu Feb 05 00:00:00 EST 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.91.021301· OSTI ID:1255175

Langhammer, Joachim ^[1]; Navrátil, Petr ^[2]; Quaglioni, Sofia ^[3]; Hupin, Guillaume ^[3]; Calci, Angelo ^[4]; Roth, Robert ^[1]

Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics
TRIUMF, Vancouver, BC (Canada)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; TRIUMF, Vancouver, BC (Canada)

In this paper, we extend the recently proposed ab initio no-core shell model with continuum to include three-nucleon (3N) interactions beyond the few-body domain. The extended approach allows for the assessment of effects of continuum degrees of freedom as well as of the 3N force in ab initio calculations of structure and reaction observables of p- and lower-sd-shell nuclei. As a first application we concentrate on energy levels of the ⁹Be system for which all excited states lie above the n-⁸Be threshold. For all energy levels, the inclusion of the continuum significantly improves the agreement with experiment, which was an issue in standard no-core shell model calculations. Furthermore, we find the proper treatment of the continuum indispensable for reliable statements about the quality of the adopted 3N interaction from chiral effective field theory. Finally, in particular, we find the 1/2⁺ resonance energy, which is of astrophysical interest, in good agreement with experiment.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Technical Univ. of Darmstadt (Germany); TRIUMF, Vancouver, BC (Canada)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG); German Federal Ministry of Education and Research (BMBF); Natural Sciences and Engineering Research Council of Canada (NSERC)

Grant/Contract Number:: AC52-07NA27344; AC02-05CH11231; SFB 634; 06DA7047I; 401945-2011

OSTI ID:: 1255175

Alternate ID(s):: OSTI ID: 1180145

Report Number(s):: LLNL-JRNL-663595

Journal Information:: Physical Review C, Nuclear Physics, Vol. 91, Issue 2; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 28 works

Citation information provided by
Web of Science

References (41)

Sensitivity of r ‐Process Nucleosynthesis to Light‐Element Nuclear Reactions Sasaqui, Takahiro; Kajino, T.; Mathews, G. J. The Astrophysical Journal, Vol. 634, Issue 2 https://doi.org/10.1086/497061	journal	December 2005
Ab Initio Calculation of the Spectrum and Structure of ${}^{16}O$ Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.102501	journal	March 2014
Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions Hergert, H.; Binder, S.; Calci, A. Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/PhysRevLett.110.242501	journal	June 2013
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
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
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions Hergert, H.; Bogner, S. K.; Binder, S. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034307	journal	March 2013
Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.022505	journal	January 2013
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to $^{7}$ He Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034326	journal	March 2013
The R -matrix theory Descouvemont, P.; Baye, D. Reports on Progress in Physics, Vol. 73, Issue 3 https://doi.org/10.1088/0034-4885/73/3/036301	journal	February 2010
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Resonance parameters of the first $1 / 2^{+}$ state in ${}^{9}{Be}$ and astrophysical implications Burda, O.; von Neumann-Cosel, P.; Richter, A. Physical Review C, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevC.82.015808	journal	July 2010
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
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
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
Chiral two- and three-nucleon forces along medium-mass isotope chains Somà, V.; Cipollone, A.; Barbieri, C. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.061301	journal	June 2014
Lattice effective field theory for medium-mass nuclei Lähde, Timo A.; Epelbaum, Evgeny; Krebs, Hermann Physics Letters B, Vol. 732 https://doi.org/10.1016/j.physletb.2014.03.023	journal	May 2014
Properties of the first excited state of $^{9}$ Be derived from $(γ, n)$ and $(e, e^{'})$ reactions Efros, V. D.; Neumann-Cosel, P. von; Richter, A. Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.027301	journal	February 2014
Ab initio calculations of medium-mass nuclei with explicit chiral 3 $N$ interactions Binder, Sven; Langhammer, Joachim; Calci, Angelo Physical Review C, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevC.87.021303	journal	February 2013
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group Bogner, S. K.; Hergert, H.; Holt, J. D. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142501	journal	October 2014
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
Ab initio many-body calculations of nucleon-nucleus scattering Quaglioni, Sofia; Navrátil, Petr Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044606	journal	April 2009
Predictive theory for elastic scattering and recoil of protons from ${}^{4}{He}$ Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.061601	journal	December 2014
Energy levels of light nuclei Tilley, D. R.; Kelley, J. H.; Godwin, J. L. Nuclear Physics A, Vol. 745, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2004.09.059	journal	December 2004
Large basis ab initio shell model investigation of ${}^{9}{Be}$ and ${}^{11}{Be}$ Forssén, C.; Navrátil, P.; Ormand, W. E. Physical Review C, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevC.71.044312	journal	April 2005
Equivalence of the Siegert-pseudostate and Lagrange-mesh R -matrix methods Baye, D.; Goldbeter, J.; Sparenberg, J. -M. Physical Review A, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevA.65.052710	journal	April 2002
Ab initio many-body calculations of nucleon- $^{4}$ He scattering with three-nucleon forces Hupin, Guillaume; Langhammer, Joachim; Navrátil, Petr Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054622	journal	November 2013
Importance truncation for large-scale configuration interaction approaches Roth, Robert Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.064324	journal	June 2009
Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions Thompson, Ian J.; Nunes, Filomena M. https://doi.org/10.1017/CBO9781139152150	book	January 2009
Quantum Monte Carlo Calculations of Neutron- $α$ Scattering Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022502	journal	July 2007
Quantum Monte Carlo calculations of $A = 9, 10$ nuclei Pieper, Steven C.; Varga, K.; Wiringa, R. B. Physical Review C, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevC.66.044310	journal	October 2002
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
Local three-nucleon interaction from chiral effective field theory Navrátil, P. Few-Body Systems, Vol. 41, Issue 3-4 https://doi.org/10.1007/s00601-007-0193-3	journal	November 2007
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
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
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J. Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.082501	journal	August 2009
Solving the resonating-group equation on a Lagrange mesh Hesse, M.; Roland, J.; Baye, D. Nuclear Physics A, Vol. 709, Issue 1-4 https://doi.org/10.1016/S0375-9474(02)01040-0	journal	October 2002
Similarity-Transformed Chiral $N N + 3 N$ Interactions for the Ab Initio Description of ${}^{12}C$ and ${}^{16}O$ Roth, Robert; Langhammer, Joachim; Calci, Angelo Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072501	journal	August 2011
Analysis of the R -matrix method on Lagrange meshes Baye, D.; Hesse, M.; Sparenberg, J-M Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 31, Issue 15 https://doi.org/10.1088/0953-4075/31/15/015	journal	August 1998
Evolution of Shell Structure in Neutron-Rich Calcium Isotopes Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.032502	journal	July 2012
Evolved chiral $N N + 3 N$ Hamiltonians for ab initio nuclear structure calculations Roth, Robert; Calci, Angelo; Langhammer, Joachim Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024325	journal	August 2014
Structure and Rotations of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.252501	journal	December 2012

Cited By (3)

Ab initio predictions for polarized deuterium-tritium thermonuclear fusion Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08052-6	journal	January 2019
Emergent properties of nuclei from ab initio coupled-cluster calculations Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. Physica Scripta, Vol. 91, Issue 6 https://doi.org/10.1088/0031-8949/91/6/063006	journal	May 2016
Emergent properties of nuclei from ab initio coupled-cluster calculations Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. arXiv https://doi.org/10.48550/arxiv.1601.08203	text	January 2016