Threecluster dynamics within the ab initio nocore shell model with continuum: How manybody correlations and $\alpha $ clustering shape ${}^{6}\mathrm{He}$ [ThreeCluster Dynamics Within The Ab Initio NoCore Shell Model With Continuum: How ManyBody Correlations And AlphaClustering Shape 6He]
Abstract
We realize the treatment of bound and continuum nuclear systems in the proximity of a threebody breakup threshold within the ab initio framework of the nocore shell model with continuum. Manybody eigenstates obtained from the diagonalization of the Hamiltonian within the harmonicoscillator expansion of the nocore shell model are coupled with continuous microscopic threecluster states to correctly describe the nuclear wave function both in the interior and asymptotic regions. We discuss the formalism in detail and give algebraic expressions for the case of core + n + n systems. Using similarityrenormalizationgroup evolved nucleonnucleon interactions, we analyze the role of ^{4}He + n + n clustering and manybody correlations in the ground and lowlying continuum states of the Borromean ^{6}He nucleus, and study the dependence of the energy spectrum on the resolution scale of the interaction. We show that ^{6}He small binding energy and extended radii compatible with experiment can be obtained simultaneously, without resorting to extrapolations. Here, we also find that a significant portion of the groundstate energy and the narrow width of the first 2^{+} resonance stem from manybody correlations that can be interpreted as coreexcitation effects.
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 TRIUMF, Vancouver, BC (Canada)
 Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France). DAM
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1512595
 Alternate Identifier(s):
 OSTI ID: 1430565
 Report Number(s):
 LLNLJRNL739751
Journal ID: ISSN 24699985; PRVCAN; 893623
 Grant/Contract Number:
 AC5207NA27344; SCW1158; SCW0498
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Quaglioni, Sofia, RomeroRedondo, Carolina, Navrátil, Petr, and Hupin, Guillaume. Threecluster dynamics within the ab initio nocore shell model with continuum: How manybody correlations and α clustering shape He6 [ThreeCluster Dynamics Within The Ab Initio NoCore Shell Model With Continuum: How ManyBody Correlations And AlphaClustering Shape 6He]. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.034332.
Quaglioni, Sofia, RomeroRedondo, Carolina, Navrátil, Petr, & Hupin, Guillaume. Threecluster dynamics within the ab initio nocore shell model with continuum: How manybody correlations and α clustering shape He6 [ThreeCluster Dynamics Within The Ab Initio NoCore Shell Model With Continuum: How ManyBody Correlations And AlphaClustering Shape 6He]. United States. https://doi.org/10.1103/PhysRevC.97.034332
Quaglioni, Sofia, RomeroRedondo, Carolina, Navrátil, Petr, and Hupin, Guillaume. Fri .
"Threecluster dynamics within the ab initio nocore shell model with continuum: How manybody correlations and α clustering shape He6 [ThreeCluster Dynamics Within The Ab Initio NoCore Shell Model With Continuum: How ManyBody Correlations And AlphaClustering Shape 6He]". United States. https://doi.org/10.1103/PhysRevC.97.034332. https://www.osti.gov/servlets/purl/1512595.
@article{osti_1512595,
title = {Threecluster dynamics within the ab initio nocore shell model with continuum: How manybody correlations and α clustering shape He6 [ThreeCluster Dynamics Within The Ab Initio NoCore Shell Model With Continuum: How ManyBody Correlations And AlphaClustering Shape 6He]},
author = {Quaglioni, Sofia and RomeroRedondo, Carolina and Navrátil, Petr and Hupin, Guillaume},
abstractNote = {We realize the treatment of bound and continuum nuclear systems in the proximity of a threebody breakup threshold within the ab initio framework of the nocore shell model with continuum. Manybody eigenstates obtained from the diagonalization of the Hamiltonian within the harmonicoscillator expansion of the nocore shell model are coupled with continuous microscopic threecluster states to correctly describe the nuclear wave function both in the interior and asymptotic regions. We discuss the formalism in detail and give algebraic expressions for the case of core + n + n systems. Using similarityrenormalizationgroup evolved nucleonnucleon interactions, we analyze the role of 4He + n + n clustering and manybody correlations in the ground and lowlying continuum states of the Borromean 6He nucleus, and study the dependence of the energy spectrum on the resolution scale of the interaction. We show that 6He small binding energy and extended radii compatible with experiment can be obtained simultaneously, without resorting to extrapolations. Here, we also find that a significant portion of the groundstate energy and the narrow width of the first 2+ resonance stem from manybody correlations that can be interpreted as coreexcitation effects.},
doi = {10.1103/PhysRevC.97.034332},
journal = {Physical Review C},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Structure of the neutronhalo nucleus ${}_{}{}^{6}{}_{}{}^{}\mathrm{He}$
journal, September 1996
 Jänecke, J.; Annakkage, T.; Berg, G. P. A.
 Physical Review C, Vol. 54, Issue 3
The threebody problem with shortrange interactions
journal, June 2001
 Nielsen, E.
 Physics Reports, Vol. 347, Issue 5
Threebody systems with Lagrangemesh techniques in hyperspherical coordinates
journal, April 2003
 Descouvemont, P.; Daniel, C.; Baye, D.
 Physical Review C, Vol. 67, Issue 4
Ab Initio Description of the Exotic Unbound ${}^{7}\mathrm{He}$ Nucleus
journal, January 2013
 Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia
 Physical Review Letters, Vol. 110, Issue 2
Evolving nuclear manybody forces with the similarity renormalization group
journal, March 2011
 Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
 Physical Review C, Vol. 83, Issue 3
Microscopic description of translationally invariant core $+\phantom{\rule{0.16em}{0ex}}N+N$ overlap functions
journal, January 2014
 Sääf, D.; Forssén, C.
 Physical Review C, Vol. 89, Issue 1
The R matrix theory
journal, February 2010
 Descouvemont, P.; Baye, D.
 Reports on Progress in Physics, Vol. 73, Issue 3
First Direct Mass Measurement of the TwoNeutron Halo Nucleus ${}^{6}\mathrm{He}$ and Improved Mass for the FourNeutron Halo ${}^{8}\mathrm{He}$
journal, January 2012
 Brodeur, M.; Brunner, T.; Champagne, C.
 Physical Review Letters, Vol. 108, Issue 5
Systematic expansion for infrared oscillator basis extrapolations
journal, April 2014
 Furnstahl, R. J.; More, S. N.; Papenbrock, T.
 Physical Review C, Vol. 89, Issue 4
Infrared length scale and extrapolations for the nocore shell model
journal, June 2015
 Wendt, K. A.; Forssén, C.; Papenbrock, T.
 Physical Review C, Vol. 91, Issue 6
Investigation of nuclear matter distribution of the neutronrich He isotopes by proton elastic scattering at intermediate energies
journal, July 2005
 Kiselev, O. A.; Aksouh, F.; Bleile, A.
 The European Physical Journal A, Vol. 25, Issue S1
Laser Spectroscopic Determination of the ${}^{6}\mathrm{H}\mathrm{e}$ Nuclear Charge Radius
journal, September 2004
 Wang, L. B.; Mueller, P.; Bailey, K.
 Physical Review Letters, Vol. 93, Issue 14
Weak transitions in $A=6\mathrm{}$ and 7 nuclei
journal, April 2002
 Schiavilla, R.; Wiringa, R. B.
 Physical Review C, Vol. 65, Issue 5
Unified Description of ${}^{6}\mathrm{Li}$ Structure and Deuterium ${}^{4}\mathrm{He}$ Dynamics with Chiral Two and ThreeNucleon Forces
journal, May 2015
 Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
 Physical Review Letters, Vol. 114, Issue 21
Quantum Monte Carlo Calculations of Neutron $\alpha $ Scattering
journal, July 2007
 Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
 Physical Review Letters, Vol. 99, Issue 2
Accurate chargedependent nucleonnucleon potential at fourth order of chiral perturbation theory
journal, October 2003
 Entem, D. R.; Machleidt, R.
 Physical Review C, Vol. 68, Issue 4
Threebody continuum states on a Lagrange mesh
journal, February 2006
 Descouvemont, P.; Tursunov, E.; Baye, D.
 Nuclear Physics A, Vol. 765, Issue 34
Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}\mathrm{Be}$ ?
journal, December 2016
 Calci, Angelo; Navrátil, Petr; Roth, Robert
 Physical Review Letters, Vol. 117, Issue 24
Analysis of the R matrix method on Lagrange meshes
journal, August 1998
 Baye, D.; Hesse, M.; Sparenberg, JM
 Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 31, Issue 15
Detailed study of the cluster structure of light nuclei in a threebody model
journal, May 1986
 Kukulin, V. I.; Krasnopol'sky, V. M.; Voronchev, V. T.
 Nuclear Physics A, Vol. 453, Issue 3
Largebasis ab initio nocore shell model and its application to ${}^{12}\mathbf{C}$
journal, October 2000
 Navrátil, P.; Vary, J. P.; Barrett, B. R.
 Physical Review C, Vol. 62, Issue 5
Precision Measurement of the ${}^{6}\mathrm{He}$ HalfLife and the Weak Axial Current in Nuclei
journal, March 2012
 Knecht, A.; Hong, R.; Zumwalt, D. W.
 Physical Review Letters, Vol. 108, Issue 12
Proton radii of ${}^{4,6,8}\mathrm{He}$ isotopes from highprecision nucleonnucleon interactions
journal, February 2006
 Caurier, E.; Navrátil, P.
 Physical Review C, Vol. 73, Issue 2
Matter and charge radius of ${}^{6}$ He in the hypersphericalharmonics approach
journal, September 2012
 Bacca, S.; Barnea, N.; Schwenk, A.
 Physical Review C, Vol. 86, Issue 3
Current Quests in Nuclear Astrophysics and Experimental Approaches
journal, December 1998
 Käppeler, F.; Thielemann, F. K.; Wiescher, M.
 Annual Review of Nuclear and Particle Science, Vol. 48, Issue 1
Chiral ThreeNucleon Interactions in Light Nuclei, Neutron $\alpha $ Scattering, and Neutron Matter
journal, February 2016
 Lynn, J. E.; Tews, I.; Carlson, J.
 Physical Review Letters, Vol. 116, Issue 6
Threecluster dynamics within an ab initio framework
journal, September 2013
 Quaglioni, Sofia; RomeroRedondo, Carolina; Navrátil, Petr
 Physical Review C, Vol. 88, Issue 3
How ManyBody Correlations and $\alpha $ Clustering Shape ${}^{6}\mathrm{He}$
journal, November 2016
 RomeroRedondo, Carolina; Quaglioni, Sofia; Navrátil, Petr
 Physical Review Letters, Vol. 117, Issue 22
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
Ab initio alpha–alpha scattering
journal, December 2015
 Elhatisari, Serdar; Lee, Dean; Rupak, Gautam
 Nature, Vol. 528, Issue 7580
Unified ab initio approach to bound and unbound states: Nocore shell model with continuum and its application to ${}^{7}$ He
journal, March 2013
 Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia
 Physical Review C, Vol. 87, Issue 3
Twoneutron overlap functions for 6He from a microscopic structure model
journal, December 2010
 Brida, I.; Nunes, F. M.
 Nuclear Physics A, Vol. 847, Issue 12
Similarity renormalization group for nucleonnucleon interactions
journal, June 2007
 Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
 Physical Review C, Vol. 75, Issue 6
Coupledchannel Rmatrix method on a Lagrange mesh
journal, September 1998
 Hesse, M.; Sparenberg, J. M.; Van Raemdonck, F.
 Nuclear Physics A, Vol. 640, Issue 1
Halo nuclei ${}^{6}\mathrm{He}$ and ${}^{8}\mathrm{He}$ with the CoulombSturmian basis
journal, September 2014
 Caprio, M. A.; Maris, P.; Vary, J. P.
 Physical Review C, Vol. 90, Issue 3
${}^{3}\mathrm{He}(\alpha ,\gamma ){}^{7}\mathrm{Be}$ and ${}^{3}\mathrm{H}(\alpha ,\gamma ){}^{7}\mathrm{Li}$ astrophysical S factors from the nocore shell model with continuum
journal, June 2016
 DohetEraly, Jérémy; Navrátil, Petr; Quaglioni, Sofia
 Physics Letters B, Vol. 757
Structure of the weaklybound nucleus 6He studied via the 6Li(t, 3He)6He reaction
journal, November 2000
 Nakamura, T.; Aumann, T.; Bazin, D.
 Physics Letters B, Vol. 493, Issue 34
Elastic proton scattering of medium mass nuclei from coupledcluster theory
journal, August 2012
 Hagen, G.; Michel, N.
 Physical Review C, Vol. 86, Issue 2
Soft Dipole Resonance in the NeutronSkin Nucleus ${}_{}{}^{6}{}_{}{}^{}He$
journal, July 2000
 Nakayama, S.; Yamagata, T.; Akimune, H.
 Physical Review Letters, Vol. 85, Issue 2
Ab initio manybody calculations of deuteron ${}^{4}\mathrm{He}$ scattering and ${}^{6}\mathrm{Li}$ states
journal, April 2011
 Navrátil, Petr; Quaglioni, Sofia
 Physical Review C, Vol. 83, Issue 4
Universal properties of infrared oscillator basis extrapolations
journal, April 2013
 More, S. N.; Ekström, A.; Furnstahl, R. J.
 Physical Review C, Vol. 87, Issue 4
Measurement of the $T+T$ Neutron Spectrum Using the National Ignition Facility
journal, August 2013
 Sayre, D. B.; Brune, C. R.; Caggiano, J. A.
 Physical Review Letters, Vol. 111, Issue 5
Nuclear Matter Distributions in ${}^{6}\mathrm{He}$ and ${}^{8}\mathrm{He}$ from Small Angle p He Scattering in Inverse Kinematics at Intermediate Energy
journal, March 1997
 Alkhazov, G. D.; Andronenko, M. N.; Dobrovolsky, A. V.
 Physical Review Letters, Vol. 78, Issue 12
Continuum and threenucleon force effects on ${}^{9}\mathrm{Be}$ energy levels
journal, February 2015
 Langhammer, Joachim; Navrátil, Petr; Quaglioni, Sofia
 Physical Review C, Vol. 91, Issue 2
Predictive theory for elastic scattering and recoil of protons from ${}^{4}\mathrm{He}$
journal, December 2014
 Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
 Physical Review C, Vol. 90, Issue 6
New excited states in the halo nucleus 6He
journal, December 2012
 Mougeot, X.; Lapoux, V.; Mittig, W.
 Physics Letters B, Vol. 718, Issue 2
Structure and reactions of quantum halos
journal, February 2004
 Jensen, A. S.; Riisager, K.; Fedorov, D. V.
 Reviews of Modern Physics, Vol. 76, Issue 1
Microscopic Calculation of the ${}^{3}\mathrm{He}(\alpha ,\gamma ){}^{7}\mathrm{Be}$ and ${}^{3}\mathbf{H}(\alpha ,\gamma ){}^{7}\mathrm{Li}$ Capture Cross Sections Using Realistic Interactions
journal, January 2011
 Neff, Thomas
 Physical Review Letters, Vol. 106, Issue 4
Revelation of thick neutron skins in nuclei
journal, September 1992
 Tanihata, I.; Hirata, D.; Kobayashi, T.
 Physics Letters B, Vol. 289, Issue 34
Ab Initio ManyBody Calculations of the ${}^{3}\mathrm{H}(d,n){}^{4}\mathrm{He}$ and ${}^{3}\mathrm{He}(d,p){}^{4}\mathrm{He}$ Fusion Reactions
journal, January 2012
 Navrátil, Petr; Quaglioni, Sofia
 Physical Review Letters, Vol. 108, Issue 4
Equivalence of the Siegertpseudostate and Lagrangemesh R matrix methods
journal, April 2002
 Baye, D.; Goldbeter, J.; Sparenberg, J. M.
 Physical Review A, Vol. 65, Issue 5
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012
 Coon, S. A.; Avetian, M. I.; Kruse, M. K. G.
 Physical Review C, Vol. 86, Issue 5
Ab Initio ManyBody Calculations of $n\mathrm{\text{\u2212}}{}^{3}\mathrm{H}$ , $n\mathrm{\text{\u2212}}{}^{4}\mathrm{He}$ , $p\mathrm{\text{\u2212}}{}^{3,4}\mathrm{He}$ , and $n\mathrm{\text{\u2212}}{}^{10}\mathrm{Be}$ Scattering
journal, August 2008
 Quaglioni, Sofia; Navrátil, Petr
 Physical Review Letters, Vol. 101, Issue 9
Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012
 Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
 Physical Review C, Vol. 86, Issue 3
Energy levels of light nuclei A = 4
journal, May 1992
 Tilley, D. R.; Weller, H. R.; Hale, G. M.
 Nuclear Physics A, Vol. 541, Issue 1
Unitary correlation operator method and similarity renormalization group: Connections and differences
journal, June 2008
 Roth, R.; Reinhardt, S.; Hergert, H.
 Physical Review C, Vol. 77, Issue 6
Unified ab initio approaches to nuclear structure and reactions
journal, April 2016
 Navrátil, Petr; Quaglioni, Sofia; Hupin, Guillaume
 Physica Scripta, Vol. 91, Issue 5
Natural orbital description of the halo nucleus 6He
journal, November 2017
 Constantinou, Chrysovalantis; Caprio, Mark A.; Vary, James P.
 Nuclear Science and Techniques, Vol. 28, Issue 12
Flowequations for Hamiltonians
journal, January 1994
 Wegner, Franz
 Annalen der Physik, Vol. 506, Issue 2
Evolution of Nuclear ManyBody Forces with the Similarity Renormalization Group
journal, August 2009
 Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
 Physical Review Letters, Vol. 103, Issue 8
Deuteroninduced nucleon transfer reactions within an ab initio framework: First application to $p$ shell nuclei
journal, May 2016
 Raimondi, Francesco; Hupin, Guillaume; Navrátil, Petr
 Physical Review C, Vol. 93, Issue 5
Solving the resonatinggroup equation on a Lagrange mesh
journal, October 2002
 Hesse, M.; Roland, J.; Baye, D.
 Nuclear Physics A, Vol. 709, Issue 14
Measurements of the $\mathbf{T}(t,2n){}^{4}\mathrm{He}$ Neutron Spectrum at Low Reactant Energies from Inertial Confinement Implosions
journal, July 2012
 Casey, D. T.; Frenje, J. A.; Gatu Johnson, M.
 Physical Review Letters, Vol. 109, Issue 2
Ab initio shell model with a genuine threenucleon force for the p shell nuclei
journal, September 2003
 Navrátil, Petr; Ormand, W. Erich
 Physical Review C, Vol. 68, Issue 3
Pairing in the continuum: The quadrupole response of the Borromean nucleus ${}^{6}\mathrm{He}$
journal, December 2014
 Fortunato, L.; Chatterjee, R.; Singh, Jagjit
 Physical Review C, Vol. 90, Issue 6
Bound state properties of Borromean halo nuclei: 6He and 11Li
journal, August 1993
 Zhukov, M. V.; Danilin, B. V.; Fedorov, D. V.
 Physics Reports, Vol. 231, Issue 4
${}^{4}\mathrm{He}+n+n$ Continuum within an Ab initio Framework
journal, July 2014
 RomeroRedondo, Carolina; Quaglioni, Sofia; Navrátil, Petr
 Physical Review Letters, Vol. 113, Issue 3
Works referencing / citing this record:
Ab initio predictions for polarized deuteriumtritium thermonuclear fusion
journal, January 2019
 Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
 Nature Communications, Vol. 10, Issue 1
Experimental Evidence of a Variant Neutron Spectrum from the $T(t,2n)\alpha $ Reaction at CenterofMass Energies in the Range of 16–50 keV
journal, July 2018
 Gatu Johnson, M.; Forrest, C. J.; Sayre, D. B.
 Physical Review Letters, Vol. 121, Issue 4
Figures / Tables found in this record: