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

Abstract

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.

Authors:

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)

Publication Date:: Thu Feb 05 00:00:00 EST 2015

Research Org.:: 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 Org.:: 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)

OSTI Identifier:: 1255175

Alternate Identifier(s):: OSTI ID: 1180145

Report Number(s):: LLNL-JRNL-663595
Journal ID: ISSN 0556-2813

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 91; Journal Issue: 2; 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


                    Langhammer, Joachim, Navrátil, Petr, Quaglioni, Sofia, Hupin, Guillaume, Calci, Angelo, and Roth, Robert. Continuum and three-nucleon force effects on Be9 energy levels.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevC.91.021301.

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                    Langhammer, Joachim, Navrátil, Petr, Quaglioni, Sofia, Hupin, Guillaume, Calci, Angelo, & Roth, Robert. Continuum and three-nucleon force effects on Be9 energy levels.  United States.  https://doi.org/10.1103/PhysRevC.91.021301

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                    Langhammer, Joachim, Navrátil, Petr, Quaglioni, Sofia, Hupin, Guillaume, Calci, Angelo, and Roth, Robert. Thu .  
"Continuum and three-nucleon force effects on Be9 energy levels".  United States.  https://doi.org/10.1103/PhysRevC.91.021301.  https://www.osti.gov/servlets/purl/1255175.

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@article{osti_1255175,

  title        = {Continuum and three-nucleon force effects on Be9 energy levels},

  author       = {Langhammer, Joachim and Navrátil, Petr and Quaglioni, Sofia and Hupin, Guillaume and Calci, Angelo and Roth, Robert},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevC.91.021301},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 2,

  volume       = 91,

  place        = {United States},

  year         = {Thu Feb 05 00:00:00 EST 2015},

  month        = {Thu Feb 05 00:00:00 EST 2015}

}

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Works referenced in this record:

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Works referencing / citing this record:

Ab initio predictions for polarized deuterium-tritium thermonuclear fusion
journal, January 2019

Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-018-08052-6

Emergent properties of nuclei from ab initio coupled-cluster calculations
journal, May 2016

Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R.
Physica Scripta, Vol. 91, Issue 6
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text, January 2016

Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R.
arXiv
DOI: 10.48550/arxiv.1601.08203

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Title: Continuum and three-nucleon force effects on Be 9 energy levels

Abstract

Citation Formats

Sensitivity of r ‐Process Nucleosynthesis to Light‐Element Nuclear Reactions journal, December 2005

Ab Initio Calculation of the Spectrum and Structure of O 16 journal, March 2014

Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions journal, June 2013

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Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal, March 2013

The R -matrix theory journal, February 2010

Similarity renormalization group for nucleon-nucleon interactions journal, June 2007

Resonance parameters of the first 1 / 2 + state in Be 9 and astrophysical implications journal, July 2010

Modern theory of nuclear forces journal, December 2009

Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions journal, August 2013

Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal, July 2012

Chiral two- and three-nucleon forces along medium-mass isotope chains journal, June 2014

Lattice effective field theory for medium-mass nuclei journal, May 2014

Properties of the first excited state of 9 Be derived from ( γ , n ) and ( e , e ′ ) reactions journal, February 2014

Ab initio calculations of medium-mass nuclei with explicit chiral 3 N interactions journal, February 2013

Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group journal, October 2014

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Ab initio many-body calculations of nucleon-nucleus scattering journal, April 2009

Predictive theory for elastic scattering and recoil of protons from He 4 journal, December 2014

Energy levels of light nuclei journal, December 2004

Large basis ab initio shell model investigation of Be 9 and Be 11 journal, April 2005

Equivalence of the Siegert-pseudostate and Lagrange-mesh R -matrix methods journal, April 2002

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Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal, October 2003

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Ab initio path to heavy nuclei journal, September 2014

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Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal, August 2009

Solving the resonating-group equation on a Lagrange mesh journal, October 2002

Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal, August 2011

Analysis of the R -matrix method on Lagrange meshes journal, August 1998

Evolution of Shell Structure in Neutron-Rich Calcium Isotopes journal, July 2012

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

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journal, December 2005

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Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions
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Modern theory of nuclear forces
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Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group
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Predictive theory for elastic scattering and recoil of protons from ${}^{4}{He}$
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Energy levels of light nuclei
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journal, April 2002

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Importance truncation for large-scale configuration interaction approaches
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Quantum Monte Carlo Calculations of Neutron- $α$ Scattering
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journal, November 2007

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journal, September 2014

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journal, September 2014

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journal, August 2009

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journal, October 2002

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journal, August 2011

Analysis of the R -matrix method on Lagrange meshes
journal, August 1998

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journal, July 2012

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