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Title: Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He 6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]

Abstract

We realize the treatment of bound and continuum nuclear systems in the proximity of a three-body breakup threshold within the ab initio framework of the no-core shell model with continuum. Many-body eigenstates obtained from the diagonalization of the Hamiltonian within the harmonic-oscillator expansion of the no-core shell model are coupled with continuous microscopic three-cluster 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 similarity-renormalization-group evolved nucleon-nucleon interactions, we analyze the role of 4He + n + n clustering and many-body correlations in the ground and low-lying 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 ground-state energy and the narrow width of the first 2 + resonance stem from many-body correlations that can be interpreted as core-excitation effects.

Authors:
 [1];  [1];  [2];  [3]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. TRIUMF, Vancouver, BC (Canada)
  3. 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):
LLNL-JRNL-739751
Journal ID: ISSN 2469-9985; PRVCAN; 893623
Grant/Contract Number:  
AC52-07NA27344; SCW1158; SCW0498
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Quaglioni, Sofia, Romero-Redondo, Carolina, Navrátil, Petr, and Hupin, Guillaume. Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.034332.
Quaglioni, Sofia, Romero-Redondo, Carolina, Navrátil, Petr, & Hupin, Guillaume. Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]. United States. doi:10.1103/PhysRevC.97.034332.
Quaglioni, Sofia, Romero-Redondo, Carolina, Navrátil, Petr, and Hupin, Guillaume. Fri . "Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]". United States. doi:10.1103/PhysRevC.97.034332. https://www.osti.gov/servlets/purl/1512595.
@article{osti_1512595,
title = {Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]},
author = {Quaglioni, Sofia and Romero-Redondo, Carolina and Navrátil, Petr and Hupin, Guillaume},
abstractNote = {We realize the treatment of bound and continuum nuclear systems in the proximity of a three-body breakup threshold within the ab initio framework of the no-core shell model with continuum. Many-body eigenstates obtained from the diagonalization of the Hamiltonian within the harmonic-oscillator expansion of the no-core shell model are coupled with continuous microscopic three-cluster 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 similarity-renormalization-group evolved nucleon-nucleon interactions, we analyze the role of 4He + n + n clustering and many-body correlations in the ground and low-lying 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 ground-state energy and the narrow width of the first 2+ resonance stem from many-body correlations that can be interpreted as core-excitation effects.},
doi = {10.1103/PhysRevC.97.034332},
journal = {Physical Review C},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

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Works referenced in this record:

Structure of the neutron-halo nucleus He 6
journal, September 1996


The three-body problem with short-range interactions
journal, June 2001


Three-body systems with Lagrange-mesh techniques in hyperspherical coordinates
journal, April 2003


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


Evolving nuclear many-body forces with the similarity renormalization group
journal, March 2011


Microscopic description of translationally invariant core + N + N overlap functions
journal, January 2014


The R -matrix theory
journal, February 2010


First Direct Mass Measurement of the Two-Neutron Halo Nucleus He 6 and Improved Mass for the Four-Neutron Halo He 8
journal, January 2012


Systematic expansion for infrared oscillator basis extrapolations
journal, April 2014


Infrared length scale and extrapolations for the no-core shell model
journal, June 2015


Investigation of nuclear matter distribution of the neutron-rich He isotopes by proton elastic scattering at intermediate energies
journal, July 2005


Laser Spectroscopic Determination of the H 6 e Nuclear Charge Radius
journal, September 2004


Weak transitions in A = 6 and 7 nuclei
journal, April 2002


Ab initio many-body calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mmultiscripts><mml:mi mathvariant="normal">Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>7</mml:mn></mml:mmultiscripts><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mmultiscripts><mml:mi mathvariant="normal">B</mml:mi><mml:mprescripts/><mml:none/><mml:mn>8</mml:mn></mml:mmultiscripts></mml:math> radiative capture
journal, October 2011


Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces
journal, May 2015


Quantum Monte Carlo Calculations of Neutron- α Scattering
journal, July 2007


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


Three-body continuum states on a Lagrange mesh
journal, February 2006


Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ?
journal, December 2016


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

  • Baye, D.; Hesse, M.; Sparenberg, J-M
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 31, Issue 15
  • DOI: 10.1088/0953-4075/31/15/015

Detailed study of the cluster structure of light nuclei in a three-body model
journal, May 1986


Large-basis ab initio no-core shell model and its application to 12 C
journal, October 2000


Precision Measurement of the He 6 Half-Life and the Weak Axial Current in Nuclei
journal, March 2012


Proton radii of He 4 , 6 , 8 isotopes from high-precision nucleon-nucleon interactions
journal, February 2006


Matter and charge radius of 6 He in the hyperspherical-harmonics approach
journal, September 2012


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
  • DOI: 10.1146/annurev.nucl.48.1.175

Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter
journal, February 2016


Three-cluster dynamics within an ab initio framework
journal, September 2013


How Many-Body Correlations and α Clustering Shape He 6
journal, November 2016


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


Ab initio alpha–alpha scattering
journal, December 2015

  • Elhatisari, Serdar; Lee, Dean; Rupak, Gautam
  • Nature, Vol. 528, Issue 7580
  • DOI: 10.1038/nature16067

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


Two-neutron overlap functions for 6He from a microscopic structure model
journal, December 2010


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


Coupled-channel R-matrix method on a Lagrange mesh
journal, September 1998


Halo nuclei He 6 and He 8 with the Coulomb-Sturmian basis
journal, September 2014


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


Structure of the weakly-bound nucleus 6He studied via the 6Li(t, 3He)6He reaction
journal, November 2000


Elastic proton scattering of medium mass nuclei from coupled-cluster theory
journal, August 2012


Soft Dipole Resonance in the Neutron-Skin Nucleus H 6 e
journal, July 2000


Ab initio many-body calculations of deuteron- He 4 scattering and Li 6 states
journal, April 2011


Universal properties of infrared oscillator basis extrapolations
journal, April 2013


Measurement of the T + T Neutron Spectrum Using the National Ignition Facility
journal, August 2013


Nuclear Matter Distributions in 6 He and 8 He from Small Angle p -He Scattering in Inverse Kinematics at Intermediate Energy
journal, March 1997


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


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


New excited states in the halo nucleus 6He
journal, December 2012


Structure and reactions of quantum halos
journal, February 2004


Revelation of thick neutron skins in nuclei
journal, September 1992


Ab Initio Many-Body Calculations of the H 3 ( d , n ) He 4 and He 3 ( d , p ) He 4 Fusion Reactions
journal, January 2012


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


Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012


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


Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012


Unitary correlation operator method and similarity renormalization group: Connections and differences
journal, June 2008


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


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
  • DOI: 10.1007/s41365-017-0332-6

Flow-equations for Hamiltonians
journal, January 1994


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


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


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


Measurements of the T ( t , 2 n ) He 4 Neutron Spectrum at Low Reactant Energies from Inertial Confinement Implosions
journal, July 2012


Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei
journal, September 2003


Pairing in the continuum: The quadrupole response of the Borromean nucleus He 6
journal, December 2014


Bound state properties of Borromean halo nuclei: 6He and 11Li
journal, August 1993


He 4 + n + n Continuum within an Ab initio Framework
journal, July 2014