Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces

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

doi:10.1103/PhysRevC.88.054622

Title: Ab initio many-body calculations of nucleon-⁴He scattering with three-nucleon forces

Abstract

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force integration kernels, and discuss computational aspects of two alternative implementations. The extended theoretical framework is then applied to nucleon-⁴He elastic scattering using similarity-renormalization-group (SRG)-evolved nucleon-nucleon plus 3N potentials derived from chiral effective field theory. We analyze the convergence properties of the calculated phase shifts and explore their dependence upon the SRG evolution parameter. We include up to six excited states of the ⁴He target and find significant effects from the inclusion of the chiral 3N force, e.g., it enhances the spin-orbit splitting between the 3/2^– and 1/2^– resonances and leads to an improved agreement with the phase shifts obtained from an accurate R-matrix analysis of the five-nucleon experimental data. As a result, we find remarkably good agreement with measured differential cross sections at various energies below the d+³H threshold, while analyzing powers manifest larger deviations from experiment for certain energies and angles.

Authors:

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

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. Darmstadt, Darmstadt (Germany)
TRIUMF, Vancouver, BC (Canada)

Publication Date:: Wed Nov 27 00:00:00 EST 2013

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1245723

Report Number(s):: LLNL-JRNL-641544
Journal ID: ISSN 0556-2813; PRVCAN

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 88; Journal Issue: 5; 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


                    Hupin, Guillaume, Langhammer, Joachim, Navratil, Petr, Quaglioni, Sofia, Calci, Angelo, and Roth, Robert. Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces.  United States: N. p., 2013. 
Web.  doi:10.1103/PhysRevC.88.054622.

Copy to clipboard


                    Hupin, Guillaume, Langhammer, Joachim, Navratil, Petr, Quaglioni, Sofia, Calci, Angelo, & Roth, Robert. Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces.  United States.  https://doi.org/10.1103/PhysRevC.88.054622

Copy to clipboard


                    Hupin, Guillaume, Langhammer, Joachim, Navratil, Petr, Quaglioni, Sofia, Calci, Angelo, and Roth, Robert. Wed .  
"Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces".  United States.  https://doi.org/10.1103/PhysRevC.88.054622.  https://www.osti.gov/servlets/purl/1245723.

Copy to clipboard


                    
@article{osti_1245723,

  title        = {Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces},

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

  abstractNote = {We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force integration kernels, and discuss computational aspects of two alternative implementations. The extended theoretical framework is then applied to nucleon-4He elastic scattering using similarity-renormalization-group (SRG)-evolved nucleon-nucleon plus 3N potentials derived from chiral effective field theory. We analyze the convergence properties of the calculated phase shifts and explore their dependence upon the SRG evolution parameter. We include up to six excited states of the 4He target and find significant effects from the inclusion of the chiral 3N force, e.g., it enhances the spin-orbit splitting between the 3/2– and 1/2– resonances and leads to an improved agreement with the phase shifts obtained from an accurate R-matrix analysis of the five-nucleon experimental data. As a result, we find remarkably good agreement with measured differential cross sections at various energies below the d+3H threshold, while analyzing powers manifest larger deviations from experiment for certain energies and angles.},

  doi          = {10.1103/PhysRevC.88.054622},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 5,

  volume       = 88,

  place        = {United States},

  year         = {Wed Nov 27 00:00:00 EST 2013},

  month        = {Wed Nov 27 00:00:00 EST 2013}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevC.88.054622

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 45 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Navrátil, P.; Gueorguiev, V. G.; Vary, J. P.
Physical Review Letters, Vol. 99, Issue 4
DOI: 10.1103/PhysRevLett.99.042501

Nuclear structure in the framework of the Unitary Correlation Operator Method
journal, July 2010

Roth, Robert; Neff, Thomas; Feldmeier, Hans
Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
DOI: 10.1016/j.ppnp.2010.02.003

Resonating-group method for nuclear many-body problems
journal, November 1978

Tang, Y. C.; LeMere, M.; Thompsom, D. R.
Physics Reports, Vol. 47, Issue 3
DOI: 10.1016/0370-1573(78)90175-8

Ab initio no core shell model
journal, March 2013

Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
Progress in Particle and Nuclear Physics, Vol. 69
DOI: 10.1016/j.ppnp.2012.10.003

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
Physical Review C, Vol. 51, Issue 1
DOI: 10.1103/PhysRevC.51.38

Structure of $p$ -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
journal, May 2013

Jurgenson, E. D.; Maris, P.; Furnstahl, R. J.
Physical Review C, Vol. 87, Issue 5
DOI: 10.1103/PhysRevC.87.054312

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

Hergert, H.; Bogner, S. K.; Binder, S.
Physical Review C, Vol. 87, Issue 3
DOI: 10.1103/PhysRevC.87.034307

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

Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia
Physical Review Letters, Vol. 110, Issue 2
DOI: 10.1103/PhysRevLett.110.022505

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

Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
Physical Review C, Vol. 83, Issue 3
DOI: 10.1103/PhysRevC.83.034301

${}^{4}{He}$ experiments can serve as a database for determining the three-nucleon force
journal, April 2008

Hofmann, H. M.; Hale, G. M.
Physical Review C, Vol. 77, Issue 4
DOI: 10.1103/PhysRevC.77.044002

The R -matrix theory
journal, February 2010

Descouvemont, P.; Baye, D.
Reports on Progress in Physics, Vol. 73, Issue 3
DOI: 10.1088/0034-4885/73/3/036301

Isoscalar Hamiltonians for light atomic nuclei
journal, August 1999

Kamuntavičius, G. P.; Navrátil, P.; Barrett, B. R.
Physical Review C, Vol. 60, Issue 4
DOI: 10.1103/PhysRevC.60.044304

Polarization measurements and phase shifts for p-4He scattering between 3 and 18 MeV
journal, March 1971

Schwandt, P.; Clegg, T. B.; Haeberli, W.
Nuclear Physics A, Vol. 163, Issue 2
DOI: 10.1016/0375-9474(71)90500-8

Polarization Measurements and Analysis in $n - {}^{4}{He}$ Scattering from 11.0 to 30.3 MeV
journal, March 1972

Broste, W. B.; Mutchler, G. S.; Simmons, J. E.
Physical Review C, Vol. 5, Issue 3
DOI: 10.1103/PhysRevC.5.761

The structure of the resonating group equation
journal, March 1982

Fliessbach, T.; Walliser, H.
Nuclear Physics A, Vol. 377, Issue 1
DOI: 10.1016/0375-9474(82)90322-0

${}^{4}{He} (\vec{n}, n) {}^{4}{He}$ analyzing power in the energy range from 15 to 50 MeV
journal, December 1984

Krupp, H.; Hiebert, J. C.; Klages, H. O.
Physical Review C, Vol. 30, Issue 6
DOI: 10.1103/PhysRevC.30.1810

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

Roth, Robert; Binder, Sven; Vobig, Klaus
Physical Review Letters, Vol. 109, Issue 5
DOI: 10.1103/PhysRevLett.109.052501

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

Binder, Sven; Langhammer, Joachim; Calci, Angelo
Physical Review C, Vol. 87, Issue 2
DOI: 10.1103/PhysRevC.87.021303

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

Quaglioni, Sofia; Navrátil, Petr
Physical Review C, Vol. 79, Issue 4
DOI: 10.1103/PhysRevC.79.044606

Realistic models of pion-exchange three-nucleon interactions
journal, June 2001

Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
Physical Review C, Vol. 64, Issue 1
DOI: 10.1103/PhysRevC.64.014001

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

Navrátil, Petr; Roth, Robert; Quaglioni, Sofia
Physics Letters B, Vol. 704, Issue 5
DOI: 10.1016/j.physletb.2011.09.079

Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model
journal, June 2000

Navrátil, P.; Vary, J. P.; Barrett, B. R.
Physical Review Letters, Vol. 84, Issue 25
DOI: 10.1103/PhysRevLett.84.5728

Recent developments in no-core shell-model calculations
journal, May 2009

Navrátil, Petr; Quaglioni, Sofia; Stetcu, Ionel
Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 8
DOI: 10.1088/0954-3899/36/8/083101

Ab initio many-body calculations of nucleon scattering on ${}^{4}{He}$ , ${}^{7}{Li}$ , ${}^{7}{Be}$ , ${}^{12}C$ , and ${}^{16}O$
journal, September 2010

Navrátil, Petr; Roth, Robert; Quaglioni, Sofia
Physical Review C, Vol. 82, Issue 3
DOI: 10.1103/PhysRevC.82.034609

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

Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
Physical Review Letters, Vol. 99, Issue 2
DOI: 10.1103/PhysRevLett.99.022502

Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes
journal, June 2012

Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R.
Physical Review Letters, Vol. 108, Issue 24
DOI: 10.1103/PhysRevLett.108.242501

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

Entem, D. R.; Machleidt, R.
Physical Review C, Vol. 68, Issue 4
DOI: 10.1103/PhysRevC.68.041001

Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A \leq 9$ nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013

Pastore, S.; Pieper, Steven C.; Schiavilla, R.
Physical Review C, Vol. 87, Issue 3
DOI: 10.1103/PhysRevC.87.035503

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

Navrátil, P.
Few-Body Systems, Vol. 41, Issue 3-4
DOI: 10.1007/s00601-007-0193-3

Unitary correlation operator method from a similarity renormalization group perspective
journal, May 2007

Hergert, H.; Roth, R.
Physical Review C, Vol. 75, Issue 5
DOI: 10.1103/PhysRevC.75.051001

Effect of Three Nucleon Forces in p − 3He Scattering
journal, February 2013

Viviani, M.; Girlanda, L.; Kievsky, A.
Few-Body Systems, Vol. 54, Issue 7-10
DOI: 10.1007/s00601-013-0665-6

Renormalization of Hamiltonians
journal, December 1993

Głazek, Stanisław D.; Wilson, Kenneth G.
Physical Review D, Vol. 48, Issue 12
DOI: 10.1103/PhysRevD.48.5863

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

Navrátil, P.; Vary, J. P.; Barrett, B. R.
Physical Review C, Vol. 62, Issue 5
DOI: 10.1103/PhysRevC.62.054311

Phenomenological spin-orbit three-body force
journal, July 1999

Kievsky, A.
Physical Review C, Vol. 60, Issue 3
DOI: 10.1103/PhysRevC.60.034001

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

Roth, R.; Navrátil, P.
Physical Review Letters, Vol. 99, Issue 9
DOI: 10.1103/PhysRevLett.99.092501

Microscopic theory of cluster radioactivity
journal, February 1998

Lovas, R. G.; Liotta, R. J.; Insolia, A.
Physics Reports, Vol. 294, Issue 5
DOI: 10.1016/S0370-1573(97)00049-5

Chiral effective field theory and nuclear forces
journal, June 2011

Machleidt, R.; Entem, D. R.
Physics Reports, Vol. 503, Issue 1
DOI: 10.1016/j.physrep.2011.02.001

Ab Initio Calculation of the Hoyle State
journal, May 2011

Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean
Physical Review Letters, Vol. 106, Issue 19
DOI: 10.1103/PhysRevLett.106.192501

Unified ab initio approach to bound and unbound states: No-core 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
DOI: 10.1103/PhysRevC.87.034326

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

Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
Physical Review C, Vol. 75, Issue 6
DOI: 10.1103/PhysRevC.75.061001

Modern theory of nuclear forces
journal, December 2009

Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G.
Reviews of Modern Physics, Vol. 81, Issue 4
DOI: 10.1103/RevModPhys.81.1773

$n - {}^{4}{He}$ Elastic Scattering near 20 MeV
journal, July 1971

Niiler, A.; Drosg, M.; Hopkins, J. C.
Physical Review C, Vol. 4, Issue 1
DOI: 10.1103/PhysRevC.4.36

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

Hagen, G.; Michel, N.
Physical Review C, Vol. 86, Issue 2
DOI: 10.1103/PhysRevC.86.021602

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

Navrátil, Petr; Quaglioni, Sofia
Physical Review C, Vol. 83, Issue 4
DOI: 10.1103/PhysRevC.83.044609

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009

Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
Physical Review Letters, Vol. 103, Issue 10
DOI: 10.1103/PhysRevLett.103.102502

A Unified Theory of the Nucleus
journal, July 1977

Wildermuth, K.; Tang, Y. ‐C.; Sheldon, Eric
Physics Today, Vol. 30, Issue 7
DOI: 10.1063/1.3037638

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

Navrátil, Petr; Quaglioni, Sofia
Physical Review Letters, Vol. 108, Issue 4
DOI: 10.1103/PhysRevLett.108.042503

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

Quaglioni, Sofia; Navrátil, Petr
Physical Review Letters, Vol. 101, Issue 9
DOI: 10.1103/PhysRevLett.101.092501

Effect of Three-Nucleon Interactions in $p$ - ${}^{3}{He}$ Elastic Scattering
journal, October 2013

Viviani, M.; Girlanda, L.; Kievsky, A.
Physical Review Letters, Vol. 111, Issue 17
DOI: 10.1103/PhysRevLett.111.172302

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

Roth, Robert
Physical Review C, Vol. 79, Issue 6
DOI: 10.1103/PhysRevC.79.064324

Flow-equations for Hamiltonians
journal, January 1994

Wegner, Franz
Annalen der Physik, Vol. 506, Issue 2
DOI: 10.1002/andp.19945060203

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

Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
Physical Review Letters, Vol. 103, Issue 8
DOI: 10.1103/PhysRevLett.103.082501

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

Roth, Robert; Langhammer, Joachim; Calci, Angelo
Physical Review Letters, Vol. 107, Issue 7
DOI: 10.1103/PhysRevLett.107.072501

The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
journal, September 2007

Quaglioni, Sofia; Navrátil, Petr
Physics Letters B, Vol. 652, Issue 5-6
DOI: 10.1016/j.physletb.2007.06.082

Works referencing / citing this record:

Coupled-cluster computations of atomic nuclei
journal, September 2014

Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
Reports on Progress in Physics, Vol. 77, Issue 9
DOI: 10.1088/0034-4885/77/9/096302

Scattering of universal fermionic clusters in the resonating group method
journal, January 2016

Naidon, Pascal; Endo, Shimpei; García-García, Antonio M.
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 3
DOI: 10.1088/0953-4075/49/3/034002

Effective field theory description of halo nuclei
journal, September 2017

Hammer, H-W; Ji, C.; Phillips, D. R.
Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10
DOI: 10.1088/1361-6471/aa83db

Progress in microscopic direct reaction modeling of nucleon induced reactions
journal, December 2015

Dupuis, M.; Bauge, E.; Hilaire, S.
The European Physical Journal A, Vol. 51, Issue 12
DOI: 10.1140/epja/i2015-15168-x

Nucleon-deuteron scattering using the adiabatic projection method
journal, June 2016

Elhatisari, Serdar; Lee, Dean; Meißner, Ulf-G.
The European Physical Journal A, Vol. 52, Issue 6
DOI: 10.1140/epja/i2016-16174-2

Three-nucleon forces
journal, September 2014

Sauer, Peter U.
International Journal of Modern Physics E, Vol. 23, Issue 09
DOI: 10.1142/s021830131430015x

Coupled-cluster computations of atomic nuclei
text, January 2013

Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
arXiv
DOI: 10.48550/arxiv.1312.7872

Effective field theory description of halo nuclei
text, January 2017

Hammer, H. -W.; Ji, C.; Phillips, D. R.
arXiv
DOI: 10.48550/arxiv.1702.08605

Microscopic optical potentials for calcium isotopes
text, January 2018

Rotureau, J.; Danielewicz, P.; Hagen, G.
arXiv
DOI: 10.48550/arxiv.1808.04535

Similar Records in DOE PAGES and OSTI.GOV collections:

Ab initio many-body calculations of nucleon scattering on {sup 4}He, {sup 7}Li, {sup 7}Be, {sup 12}C, and {sup 16}O

Journal Article Navratil, Petr ; Quaglioni, Sofia ; Roth, Robert - Physical Review. C, Nuclear Physics

We combine a recently developed ab initio many-body approach capable of describing simultaneously both bound and scattering states, the ab initio no-core shell model/resonating-group method (NCSM/RGM), with an importance-truncation scheme for the cluster eigenstate basis and demonstrate its applicability to nuclei with mass numbers as high as 17. By using soft similarity renormalization-group-evolved chiral nucleon-nucleon interactions, we first calculate nucleon-{sup 4}He phase shifts, cross sections, and analyzing powers. Next, we investigate nucleon scattering on {sup 7}Li, {sup 7}Be, {sup 12}C, and {sup 16}O in coupled-channel NCSM/RGM calculations that include low-lying excited states of these nuclei. We check the convergence ofmore »« less
https://doi.org/10.1103/PHYSREVC.82.034609
Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $α$ clustering shape ${}^{6}{He}$ [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]

Journal Article Quaglioni, Sofia ; Romero-Redondo, Carolina ; Navrátil, Petr ; ... - Physical Review C

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 ⁴Hemore »« less
Cited by 16
https://doi.org/10.1103/PhysRevC.97.034332

Full Text Available
Ab initio many-body calculations of deuteron-{sup 4}He scattering and {sup 6}Li states

Journal Article Navratil, Petr ; Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551 ; Quaglioni, Sofia - Physical Review. C, Nuclear Physics

We extend the ab initio no-core shell model/resonating-group method (NCSM/RGM) to projectile-target binary-cluster states where the projectile is a deuteron. We discuss the formalism in detail and give algebraic expressions for the integration kernels. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we calculate deuteron-{sup 4}He scattering and investigate {sup 6}Li bound and unbound states. Virtual three-body breakup effects are obtained in an approximated way by including excited pseudostates of the deuteron in the calculation. We compare our results to experiment and to a standard NCSM calculation for {sup 6}Li.
https://doi.org/10.1103/PHYSREVC.83.044609
Quantifying Uncertainties In Neutron-Alpha Scattering With Chiral Nucleon-Nucleon And Three-Nucleon Forces

Journal Article Kravvaris, Konstantinos ; Quinlan, Kevin R. ; Quaglioni, Sofia ; ... - Physical Review. C

We report that modern ab initio theory combined with high-quality nucleon-nucleon (NN) and three-nucleon (3N) interactions from chiral effective field theory (EFT) can provide a predictive description of low-energy light-nuclei reactions relevant for astrophysics and fusion-energy applications. However, the high cost of computations has so far impeded a complete analysis of the uncertainty budget of such calculations. Starting from NN potentials up to fifth order (N⁴LO) combined with leading-order 3N forces, we study how the order-by-order convergence of the chiral expansion and confidence intervals for the 3N contact and contact-plus-one-pion-exchange low-energy constants (c_E and c_D) contribute to the overall uncertaintymore »« less
https://doi.org/10.1103/physrevc.102.024616

Full Text Available
Ab initio many-body calculations of nucleon-nucleus scattering

Journal Article Quaglioni, Sofia ; Navratil, Petr - Physical Review. C, Nuclear Physics

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and consistent description of the nucleon clusters. This approach preserves translational symmetry and the Pauli principle. We outline technical details and present phase-shift results for neutron scattering on {sup 3}H, {sup 4}He, and {sup 10}Be and proton scattering on {sup 3,4}He, using realistic nucleon-nucleon (NN) potentials. Our A=4 scattering results are compared to earlier ab initio calculations. We find that the CD-Bonn NN potential in particularmore »« less
https://doi.org/10.1103/PHYSREVC.79.044606

Similar Records

Title: Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces

Abstract

Citation Formats

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

Nuclear structure in the framework of the Unitary Correlation Operator Method journal, July 2010

Resonating-group method for nuclear many-body problems journal, November 1978

Ab initio no core shell model journal, March 2013

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Structure of p -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group journal, May 2013

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

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

He 4 experiments can serve as a database for determining the three-nucleon force journal, April 2008

The R -matrix theory journal, February 2010

Isoscalar Hamiltonians for light atomic nuclei journal, August 1999

Polarization measurements and phase shifts for p-4He scattering between 3 and 18 MeV journal, March 1971

Polarization Measurements and Analysis in n − He 4 Scattering from 11.0 to 30.3 MeV journal, March 1972

The structure of the resonating group equation journal, March 1982

He 4 ( n → , n ) He 4 analyzing power in the energy range from 15 to 50 MeV journal, December 1984

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

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

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

Realistic models of pion-exchange three-nucleon interactions journal, June 2001

Properties of 12 C in the Ab Initio Nuclear Shell Model journal, June 2000

Recent developments in no-core shell-model calculations journal, May 2009

Ab initio many-body calculations of nucleon scattering on He 4 , Li 7 , Be 7 , C 12 , and O 16 journal, September 2010

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

Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes journal, June 2012

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

Quantum Monte Carlo calculations of electromagnetic moments and transitions in A ≤ 9 nuclei with meson-exchange currents derived from chiral effective field theory journal, March 2013

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

Unitary correlation operator method from a similarity renormalization group perspective journal, May 2007

Effect of Three Nucleon Forces in p − 3He Scattering journal, February 2013

Renormalization of Hamiltonians journal, December 1993

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

Phenomenological spin-orbit three-body force journal, July 1999

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

Microscopic theory of cluster radioactivity journal, February 1998

Chiral effective field theory and nuclear forces journal, June 2011

Ab Initio Calculation of the Hoyle State journal, May 2011

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

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

Modern theory of nuclear forces journal, December 2009

n − He 4 Elastic Scattering near 20 MeV journal, July 1971

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

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

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal, September 2009

A Unified Theory of the Nucleus journal, July 1977

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

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

Effect of Three-Nucleon Interactions in p - He 3 Elastic Scattering journal, October 2013

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

Flow-equations for Hamiltonians journal, January 1994

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

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

The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory journal, September 2007

Coupled-cluster computations of atomic nuclei journal, September 2014

Scattering of universal fermionic clusters in the resonating group method journal, January 2016

Effective field theory description of halo nuclei journal, September 2017

Progress in microscopic direct reaction modeling of nucleon induced reactions journal, December 2015

Nucleon-deuteron scattering using the adiabatic projection method journal, June 2016

Three-nucleon forces journal, September 2014

Coupled-cluster computations of atomic nuclei text, January 2013

Effective field theory description of halo nuclei text, January 2017

Microscopic optical potentials for calcium isotopes text, January 2018

Title: Ab initio many-body calculations of nucleon-⁴He scattering with three-nucleon forces

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

Nuclear structure in the framework of the Unitary Correlation Operator Method
journal, July 2010

Resonating-group method for nuclear many-body problems
journal, November 1978

Ab initio no core shell model
journal, March 2013

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Structure of $p$ -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
journal, May 2013

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

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

${}^{4}{He}$ experiments can serve as a database for determining the three-nucleon force
journal, April 2008

The R -matrix theory
journal, February 2010

Isoscalar Hamiltonians for light atomic nuclei
journal, August 1999

Polarization measurements and phase shifts for p-4He scattering between 3 and 18 MeV
journal, March 1971

Polarization Measurements and Analysis in $n - {}^{4}{He}$ Scattering from 11.0 to 30.3 MeV
journal, March 1972

The structure of the resonating group equation
journal, March 1982

${}^{4}{He} (\vec{n}, n) {}^{4}{He}$ analyzing power in the energy range from 15 to 50 MeV
journal, December 1984

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

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

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

Realistic models of pion-exchange three-nucleon interactions
journal, June 2001

Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model
journal, June 2000

Recent developments in no-core shell-model calculations
journal, May 2009

Ab initio many-body calculations of nucleon scattering on ${}^{4}{He}$ , ${}^{7}{Li}$ , ${}^{7}{Be}$ , ${}^{12}C$ , and ${}^{16}O$
journal, September 2010

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

Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes
journal, June 2012

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

Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A \leq 9$ nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013

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

Unitary correlation operator method from a similarity renormalization group perspective
journal, May 2007

Effect of Three Nucleon Forces in p − 3He Scattering
journal, February 2013

Renormalization of Hamiltonians
journal, December 1993

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

Phenomenological spin-orbit three-body force
journal, July 1999

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

Microscopic theory of cluster radioactivity
journal, February 1998

Chiral effective field theory and nuclear forces
journal, June 2011

Ab Initio Calculation of the Hoyle State
journal, May 2011

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

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

Modern theory of nuclear forces
journal, December 2009

$n - {}^{4}{He}$ Elastic Scattering near 20 MeV
journal, July 1971

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

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

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009

A Unified Theory of the Nucleus
journal, July 1977

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

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

Effect of Three-Nucleon Interactions in $p$ - ${}^{3}{He}$ Elastic Scattering
journal, October 2013

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

Flow-equations for Hamiltonians
journal, January 1994

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

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

The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
journal, September 2007

Coupled-cluster computations of atomic nuclei
journal, September 2014

Scattering of universal fermionic clusters in the resonating group method
journal, January 2016

Effective field theory description of halo nuclei
journal, September 2017

Progress in microscopic direct reaction modeling of nucleon induced reactions
journal, December 2015

Nucleon-deuteron scattering using the adiabatic projection method
journal, June 2016

Three-nucleon forces
journal, September 2014

Coupled-cluster computations of atomic nuclei
text, January 2013

Effective field theory description of halo nuclei
text, January 2017

Microscopic optical potentials for calcium isotopes
text, January 2018