Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be11 ?

Calci, Angelo; Navratil, Petr; Roth, Robert; Dohet-Eraly, Jeremy; Quaglioni, Sofia; Hupin, Guillaume

doi:10.1103/PhysRevLett.117.242501

Title: Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}{Be}$ ?

Abstract

The weakly bound exotic ¹¹Be nucleus, famous for its ground-state parity inversion and distinct n + ¹⁰Be halo structure, is investigated from first principles using chiral two- and three-nucleon forces. An explicit treatment of continuum effects is found to be indispensable. We study the sensitivity of the ¹¹Be spectrum to the details of the three-nucleon force and demonstrate that only certain chiral interactions are capable of reproducing the parity inversion. With such interactions, the extremely large E1 transition between the bound states is reproduced. We compare our photodisintegration calculations to conflicting experimental data and predict a distinct dip around the 3/2^–₁ resonance energy. Finally, we predict low-lying 3/2⁺ and 9/2⁺ resonances that are not or not sufficiently measured in experiments.

Authors:

Calci, Angelo ^[1]; Navratil, Petr ^[1]; Roth, Robert ^[2]; Dohet-Eraly, Jeremy ^[3]; Quaglioni, Sofia ^[4]; Hupin, Guillaume ^[5]

TRIUMF, Vancouver, BC (Canada)
Technische Univ. Darmstadt, Darmstadt (Germany)
TRIUMF, Vancouver, BC (Canada); Istituto Nazionale di Fisica Nucleare, Pisa (Italy)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. Paris-Sud, Orsay Cedex (France); CEA, DAM, DIF, Arpajon (France)

Publication Date:: Fri Dec 09 00:00:00 EST 2016

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)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1366965

Alternate Identifier(s):: OSTI ID: 1335718

Report Number(s):: LLNL-JRNL-700880
Journal ID: ISSN 0031-9007; PRLTAO

Grant/Contract Number:: AC52-07NA27344; SCW1158

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 117; Journal Issue: 24; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Calci, Angelo, Navratil, Petr, Roth, Robert, Dohet-Eraly, Jeremy, Quaglioni, Sofia, and Hupin, Guillaume. Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be11 ?.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.117.242501.

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                    Calci, Angelo, Navratil, Petr, Roth, Robert, Dohet-Eraly, Jeremy, Quaglioni, Sofia, & Hupin, Guillaume. Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be11 ?.  United States.  https://doi.org/10.1103/PhysRevLett.117.242501

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                    Calci, Angelo, Navratil, Petr, Roth, Robert, Dohet-Eraly, Jeremy, Quaglioni, Sofia, and Hupin, Guillaume. Fri .  
"Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be11 ?".  United States.  https://doi.org/10.1103/PhysRevLett.117.242501.  https://www.osti.gov/servlets/purl/1366965.

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@article{osti_1366965,

  title        = {Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be11 ?},

  author       = {Calci, Angelo and Navratil, Petr and Roth, Robert and Dohet-Eraly, Jeremy and Quaglioni, Sofia and Hupin, Guillaume},

  abstractNote = {The weakly bound exotic 11Be nucleus, famous for its ground-state parity inversion and distinct n + 10Be halo structure, is investigated from first principles using chiral two- and three-nucleon forces. An explicit treatment of continuum effects is found to be indispensable. We study the sensitivity of the 11Be spectrum to the details of the three-nucleon force and demonstrate that only certain chiral interactions are capable of reproducing the parity inversion. With such interactions, the extremely large E1 transition between the bound states is reproduced. We compare our photodisintegration calculations to conflicting experimental data and predict a distinct dip around the 3/2–1 resonance energy. Finally, we predict low-lying 3/2+ and 9/2+ resonances that are not or not sufficiently measured in experiments.},

  doi          = {10.1103/PhysRevLett.117.242501},

  journal      = {Physical Review Letters},

  number       = 24,

  volume       = 117,

  place        = {United States},

  year         = {Fri Dec 09 00:00:00 EST 2016},

  month        = {Fri Dec 09 00:00:00 EST 2016}

}

Copy to clipboard

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Here, the exotic ⁹He nucleus, which presents one of the most extreme neutron-to-proton ratios, belongs to the N = 7 isotonic chain famous for the phenomenon of ground-state parity inversion with decreasing number of protons. Consequently, it would be expected to have an unnatural (positive) parity ground state similar to ¹¹Be and ¹⁰Li. Despite many experimental and theoretical investigations, its structure remains uncertain. Apart from the fact that it is unbound, other properties including the spin and parity of its ground state, and the very existence of additional low-lying resonances are still a matter of debate
Cited by 14
https://doi.org/10.1103/PhysRevC.97.034314

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

Journal Article Langhammer, Joachim ; Navrátil, Petr ; Quaglioni, Sofia ; ... - Physical Review C, Nuclear Physics

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 anmore »« less
Cited by 28
https://doi.org/10.1103/PhysRevC.91.021301

Full Text Available
$X 17$ boson and the ${}_{3}H (p, e^{+} e^{-}) {}_{4}{He}$ and ${}_{3}{He} (n, e^{+} e^{-}) {}_{4}{He}$ processes: A theoretical analysis

Journal Article Viviani, M. ; Filandri, E. ; Girlanda, L. ; ... - Physical Review C

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https://doi.org/10.1103/physrevc.105.014001

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Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory journal, July 2007

Coulomb and nuclear breakup of a halo nucleus Be11 journal, November 2004

Direct calculation of resonance energies and widths using an R -matrix approach journal, July 1981

In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal, March 2013

Ab Initio Description of the Exotic Unbound He 7 Nucleus journal, January 2013

The R -matrix theory journal, February 2010

β-spectroscopy of 11Li and 14Be —With a β-n-γ triple coincidence method journal, April 1997

The exotic nuclei 11Be and 11N in a microscopic cluster model journal, March 1997

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

Coulomb dissociation of a halo nucleus 11Be at 72A MeV journal, July 1994

Energy levels of light nuclei journal, April 2012

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

Few-nucleon forces from chiral Lagrangians journal, June 1994

Few-nucleon forces and systems in chiral effective field theory journal, October 2006

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

Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces journal, November 2013

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

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal, December 2001

Local three-nucleon interaction from chiral effective field theory journal, November 2007

Ab initio path to heavy nuclei journal, September 2014

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal, September 1991

Ab Initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model journal, August 2007

Nuclear forces from chiral lagrangians journal, November 1990

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

Operator evolution for ab initio theory of light nuclei journal, July 2014

Order of Levels in the Shell Model and Spin of Be 11 journal, May 1960

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

He 3 ( α , γ ) Be 7 and H 3 ( α , γ ) Li 7 astrophysical S factors from the no-core shell model with continuum journal, June 2016

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

Exclusive measurement of breakup reactions with the one-neutron halo nucleus 11 Be journal, September 2003

Nuclear rotation in the continuum journal, January 2016

Nucleon-nucleon potential from an effective chiral Lagrangian journal, March 1994

Continuum and three-nucleon force effects on Be 9 energy levels journal, February 2015

Three-nucleon forces from chiral effective field theory journal, December 2002

Energy levels of light nuclei journal, December 2004

Spectroscopic study of 11Be through β-delayed neutron- and γ-decays of spin-polarized 11Li journal, June 2004

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

Ab Initio Many-Body Calculations of n − H 3 , n − He 4 , p − He 3 , 4 , and n − Be 10 Scattering journal, August 2008

Electric dipole polarizability from first principles calculations journal, September 2016

Importance truncation for large-scale configuration interaction approaches journal, June 2009

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Sensitivities and correlations of nuclear structure observables emerging from chiral interactions journal, July 2016

The Ame2012 atomic mass evaluation journal, December 2012

Strong E 1 transitions in Be 9 , Be 11 , and C 13 journal, August 1983

Unified ab initio approaches to nuclear structure and reactions journal, April 2016

The electric dipole response of exotic nuclei journal, January 2013

Accurate nuclear radii and binding energies from a chiral interaction journal, May 2015

Operator evolution for ab initio electric dipole transitions of He 4 journal, July 2015

Phenomenological Lagrangians journal, April 1979

Flow-equations for Hamiltonians journal, January 1994

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

Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to p -shell nuclei journal, May 2016

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

Lifetime of the First Excited State of Be 11 journal, June 1971

Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions journal, February 2016

Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal, August 2014

The Ame2012 atomic mass evaluation journal, December 2012

Few-nucleon forces and systems in chiral effective field theory journal, November 2008

Energy levels of light nuclei journal, December 2010

Local three-nucleon interaction from chiral effective field theory text, January 2007

Ab initio many-body calculations of nucleon-nucleus scattering text, January 2009

Importance Truncation for Large-Scale Configuration Interaction Approaches text, January 2009

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

Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions text, January 2013

Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians text, January 2015

Electric dipole polarizability from first principles calculations text, January 2016

Three-Nucleon Forces from Chiral Effective Field Theory text, January 2002

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Title: Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}{Be}$ ?

Structure of $A = 10 - 13$ Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
journal, July 2007

Coulomb and nuclear breakup of a halo nucleus Be11
journal, November 2004

Direct calculation of resonance energies and widths using an $R$ -matrix approach
journal, July 1981

In-medium similarity renormalization group with chiral two- plus three-nucleon interactions
journal, March 2013

Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus
journal, January 2013

The R -matrix theory
journal, February 2010

β-spectroscopy of 11Li and 14Be —With a β-n-γ triple coincidence method
journal, April 1997

The exotic nuclei 11Be and 11N in a microscopic cluster model
journal, March 1997

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

Coulomb dissociation of a halo nucleus 11Be at 72A MeV
journal, July 1994

Energy levels of light nuclei
journal, April 2012

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

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Few-nucleon forces and systems in chiral effective field theory
journal, October 2006

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

Ab initio many-body calculations of nucleon- $^{4}$ He scattering with three-nucleon forces
journal, November 2013

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

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI
journal, December 2001

Local three-nucleon interaction from chiral effective field theory
journal, November 2007

Ab initio path to heavy nuclei
journal, September 2014

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Ab Initio Study of ${}^{40}{Ca}$ with an Importance-Truncated No-Core Shell Model
journal, August 2007

Nuclear forces from chiral lagrangians
journal, November 1990

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

Operator evolution for ab initio theory of light nuclei
journal, July 2014

Order of Levels in the Shell Model and Spin of ${Be}^{11}$
journal, May 1960

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

Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015

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

${}^{3}{He} (α, γ) {}^{7}{Be}$ and ${}^{3}H (α, γ) {}^{7}{Li}$ astrophysical S factors from the no-core shell model with continuum
journal, June 2016

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

Exclusive measurement of breakup reactions with the one-neutron halo nucleus $^{11} Be$
journal, September 2003

Nuclear rotation in the continuum
journal, January 2016

Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994

Continuum and three-nucleon force effects on ${}^{9}{Be}$ energy levels
journal, February 2015

Three-nucleon forces from chiral effective field theory
journal, December 2002

Energy levels of light nuclei
journal, December 2004

Spectroscopic study of 11Be through β-delayed neutron- and γ-decays of spin-polarized 11Li
journal, June 2004

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

Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering
journal, August 2008

Electric dipole polarizability from first principles calculations
journal, September 2016

Importance truncation for large-scale configuration interaction approaches
journal, June 2009

Open-shell nuclei and excited states from multireference normal-ordered Hamiltonians
journal, March 2016

Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
journal, July 2016

The Ame2012 atomic mass evaluation
journal, December 2012

Strong $E 1$ transitions in ${}^{9}{Be}$ , ${}^{11}{Be}$ , and ${}^{13}C$
journal, August 1983

Unified ab initio approaches to nuclear structure and reactions
journal, April 2016

The electric dipole response of exotic nuclei
journal, January 2013

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Operator evolution for ab initio electric dipole transitions of ${}^{4}{He}$
journal, July 2015

Phenomenological Lagrangians
journal, April 1979

Flow-equations for Hamiltonians
journal, January 1994

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

Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to $p$ -shell nuclei
journal, May 2016

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

Lifetime of the First Excited State of ${}^{11}{Be}$
journal, June 1971

Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions
journal, February 2016

Evolved chiral $N N + 3 N$ Hamiltonians for ab initio nuclear structure calculations
journal, August 2014

The Ame2012 atomic mass evaluation
journal, December 2012

Few-nucleon forces and systems in chiral effective field theory
journal, November 2008

Energy levels of light nuclei
journal, December 2010

Local three-nucleon interaction from chiral effective field theory
text, January 2007

Ab initio many-body calculations of nucleon-nucleus scattering
text, January 2009

Importance Truncation for Large-Scale Configuration Interaction Approaches
text, January 2009

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

Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
text, January 2013

Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians
text, January 2015

Electric dipole polarizability from first principles calculations
text, January 2016

Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002

Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003

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

Effective field theory description of halo nuclei
journal, September 2017

Nucleon transfer reactions with radioactive beams
journal, February 2018

Neutron disappearance inside the nucleus
journal, January 2019

Pygmy resonances: what’s in a name?
journal, August 2019

Ab initio calculations of p -shell nuclei up to N ² LO in chiral Effective Field Theory
journal, July 2019

Application of an ab initio $S$ matrix to data analysis of transfer reactions to the continuum populating ${}^{11}{Be}$
journal, August 2019

Structure of ${}^{13}{Be}$ studied in proton knockout from ${}^{14}B$
journal, August 2018

Identifying structures in the continuum: Application to ${}^{16}{Be}$
journal, January 2019