From nucleons to nuclei to fusion reactions

Quaglioni, S.; Navr, P.; Roth, R.; Horiuchi, W.

doi:10.1088/1742-6596/402/1/012037

Title: From nucleons to nuclei to fusion reactions

Journal Article · Sat Dec 01 00:00:00 EST 2012 · Journal of Physics. Conference Series

DOI:https://doi.org/10.1088/1742-6596/402/1/012037· OSTI ID:1567304

Quaglioni, S. ^[1]; Navr, P. ^[2]; Roth, R. ^[3]; Horiuchi, W. ^[4]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
TRIUMF, Vancouver, BC (Canada); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Technical Univ. of Darmstadt (Germany)
RIKEN Nishina Center, Wako (Japan)

Nuclei are prototypes of many-body open quantum systems. Complex aggregates of protons and neutrons that interact through forces arising from quantum chromo-dynamics, nuclei exhibit both bound and unbound states, which can be strongly coupled. In this respect, one of the major challenges for computational nuclear physics, is to provide a unified description of structural and reaction properties of nuclei that is based on the fundamental underlying physics: the constituent nucleons and the realistic interactions among them. This requires a combination of innovative theoretical approaches and high-performance computing. In this contribution, we present one of such promising techniques, the ab initio no-core shell model/resonating-group method, and discuss applications to light nuclei scattering and fusion reactions that power stars and Earth-base fusion facilities.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC52-07NA27344; PLS-09-ERD-020; FC02-07ER41457

OSTI ID:: 1567304

Journal Information:: Journal of Physics. Conference Series, Vol. 402; Conference: 23. International Conference on Computational Physics, Gatlinburg, TN (United States), 16-20 Oct 2011; ISSN 1742-6588

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (54)

Unified theory of nuclear reactions Feshbach, Herman Annals of Physics, Vol. 5, Issue 4 https://doi.org/10.1016/0003-4916(58)90007-1	journal	December 1958
A unified theory of nuclear reactions. II Feshbach, Herman Annals of Physics, Vol. 19, Issue 2 https://doi.org/10.1016/0003-4916(62)90221-X	journal	August 1962
Coupled channels calculations in the continuum shell model with complicated configurations Barz, H. W.; Rotter, I.; Höhn, J. Nuclear Physics A, Vol. 275, Issue 1 https://doi.org/10.1016/0375-9474(77)90279-2	journal	January 1977
Threshold effects in nuclear reactions and the line shape of resonances Rotter, I.; Barz, H. W.; Höhn, J. Nuclear Physics A, Vol. 297, Issue 2 https://doi.org/10.1016/0375-9474(78)90274-9	journal	March 1978
Study of the 7Be(p, γ)8B and 7Li(n, γ)8Li capture reactions using the shell model embedded in the continuum Bennaceur, K.; Nowacki, F.; Okołowicz, J. Nuclear Physics A, Vol. 651, Issue 3 https://doi.org/10.1016/S0375-9474(99)00133-5	journal	May 1999
Continuum shell model Volya, Alexander; Zelevinsky, Vladimir Physical Review C, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevC.74.064314	journal	December 2006
Theory of the two-proton radioactivity in the continuum shell model Rotureau, J.; Okołowicz, J.; Płoszajczak, M. Nuclear Physics A, Vol. 767 https://doi.org/10.1016/j.nuclphysa.2005.12.005	journal	March 2006
Time-dependent approach to the continuum shell model Volya, Alexander Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044308	journal	April 2009
Gamow Shell Model Description of Neutron-Rich Nuclei Michel, N.; Nazarewicz, W.; Płoszajczak, M. Physical Review Letters, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevLett.89.042502	journal	July 2002
Two-Particle Resonant States in a Many-Body Mean Field Id Betan, R.; Liotta, R. J.; Sandulescu, N. Physical Review Letters, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevLett.89.042501	journal	July 2002
Gamow shell model description of weakly bound nuclei and unbound nuclear states Michel, N.; Nazarewicz, W.; Płoszajczak, M. Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.054311	journal	May 2003
Charge radii and neutron correlations in helium halo nuclei Papadimitriou, G.; Kruppa, A. T.; Michel, N. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.051304	journal	November 2011
Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems Masui, H.; Katō, K.; Ikeda, K. Physical Review C, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevC.75.034316	journal	March 2007
Molecular Viewpoints in Nuclear Structure Wheeler, John Archibald Physical Review, Vol. 52, Issue 11 https://doi.org/10.1103/PhysRev.52.1083	journal	December 1937
Resonating-group method for nuclear many-body problems Tang, Y. C.; LeMere, M.; Thompsom, D. R. Physics Reports, Vol. 47, Issue 3 https://doi.org/10.1016/0370-1573(78)90175-8	journal	November 1978
Reanalysis of the ${}^{7}{Be} (p, γ) {}^{8}B$ $S$ factor in a microscopic model Descouvemont, P. Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.065802	journal	December 2004
Microscopic cluster model analysis of ${}^{14}O + p$ elastic scattering Baye, D.; Descouvemont, P.; Leo, F. Physical Review C, Vol. 72, Issue 2 https://doi.org/10.1103/PhysRevC.72.024309	journal	August 2005
Three-body continuum states in a microscopic cluster model Damman, A.; Descouvemont, P. Physical Review C, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevC.80.044310	journal	October 2009
Quantum Monte Carlo Calculations of Neutron- $α$ Scattering Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022502	journal	July 2007
Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092501	journal	August 2008
Ab initio many-body calculations of nucleon-nucleus scattering Quaglioni, Sofia; Navrátil, Petr Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044606	journal	April 2009
Ab initio many-body calculations of deuteron- ${}^{4}{He}$ scattering and ${}^{6}{Li}$ states Navrátil, Petr; Quaglioni, Sofia Physical Review C, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevC.83.044609	journal	April 2011
Ab Initio Computation of the ${}^{17}F$ Proton Halo State and Resonances in $A = 17$ Nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Physical Review Letters, Vol. 104, Issue 18 https://doi.org/10.1103/PhysRevLett.104.182501	journal	May 2010
Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review Letters, Vol. 84, Issue 25 https://doi.org/10.1103/PhysRevLett.84.5728	journal	June 2000
Shell-model calculations for the three-nucleon system Navrátil, P.; Barrett, B. R. Physical Review C, Vol. 57, Issue 2 https://doi.org/10.1103/PhysRevC.57.562	journal	February 1998
Few-nucleon systems in a translationally invariant harmonic oscillator basis Navrátil, P.; Kamuntavičius, G. P.; Barrett, B. R. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044001	journal	March 2000
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators Lanczos, C. Journal of Research of the National Bureau of Standards, Vol. 45, Issue 4 https://doi.org/10.6028/jres.045.026	journal	October 1950
Large-basis *ab initio* no-core shell model and its application to $^{12} C$ Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054311	journal	October 2000
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Unitary correlation operator method and similarity renormalization group: Connections and differences Roth, R.; Reinhardt, S.; Hergert, H. Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.064003	journal	June 2008
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
Coupled-channel R-matrix method on a Lagrange mesh Hesse, M.; Sparenberg, J. -M.; Van Raemdonck, F. Nuclear Physics A, Vol. 640, Issue 1 https://doi.org/10.1016/S0375-9474(98)00435-7	journal	September 1998
Solving the resonating-group equation on a Lagrange mesh Hesse, M.; Roland, J.; Baye, D. Nuclear Physics A, Vol. 709, Issue 1-4 https://doi.org/10.1016/S0375-9474(02)01040-0	journal	October 2002
R-Matrix Theory of Nuclear Reactions Lane, A. M.; Thomas, R. G. Reviews of Modern Physics, Vol. 30, Issue 2 https://doi.org/10.1103/RevModPhys.30.257	journal	April 1958
The R -matrix theory Descouvemont, P.; Baye, D. Reports on Progress in Physics, Vol. 73, Issue 3 https://doi.org/10.1088/0034-4885/73/3/036301	journal	February 2010
Order of Levels in the Shell Model and Spin of ${Be}^{11}$ Talmi, I.; Unna, I. Physical Review Letters, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevLett.4.469	journal	May 1960
Large basis ab initio shell model investigation of ${}^{9}{Be}$ and ${}^{11}{Be}$ Forssén, C.; Navrátil, P.; Ormand, W. E. Physical Review C, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevC.71.044312	journal	April 2005
Influence of the short range nonlocal nucleon-nucleon interaction on the elastic $n - d$ scattering: Below $30 MeV$ Doleschall, P. Physical Review C, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevC.69.054001	journal	May 2004
Polarization measurements and phase shifts for p-4He scattering between 3 and 18 MeV Schwandt, P.; Clegg, T. B.; Haeberli, W. Nuclear Physics A, Vol. 163, Issue 2 https://doi.org/10.1016/0375-9474(71)90500-8	journal	March 1971
Elastic scattering of protons by helium 4: New experiments and analysis Dodder, D. C.; Hale, G. M.; Jarmie, Nelson Physical Review C, Vol. 15, Issue 2 https://doi.org/10.1103/PhysRevC.15.518	journal	February 1977
Ab initio many-body calculations of nucleon scattering on ${}^{4}{He}$ , ${}^{7}{Li}$ , ${}^{7}{Be}$ , ${}^{12}C$ , and ${}^{16}O$ Navrátil, Petr; Roth, Robert; Quaglioni, Sofia Physical Review C, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevC.82.034609	journal	September 2010
$p - {}^{3}{He}$ Elastic Scattering from 13 to 20 MeV Hutson, R. L.; Jarmie, Nelson; Detch, J. L. Physical Review C, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevC.4.17	journal	July 1971
Neutron-triton cross sections and scattering lengths obtained from p $-^{3}$ He scattering Hale, G. M.; Dodder, D. C.; Seagrave, J. D. Physical Review C, Vol. 42, Issue 1 https://doi.org/10.1103/PhysRevC.42.438	journal	July 1990
Measurements of the Differential Cross Sections for the Elastic $n − {}^{3}H$ and $n − {}^{2}H$ Scattering at 14.1 MeV by Using an Inertial Confinement Fusion Facility Frenje, J. A.; Li, C. K.; Seguin, F. H. Physical Review Letters, Vol. 107, Issue 12 https://doi.org/10.1103/PhysRevLett.107.122502	journal	September 2011
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 Navrátil, Petr; Roth, Robert; Quaglioni, Sofia Physics Letters B, Vol. 704, Issue 5 https://doi.org/10.1016/j.physletb.2011.09.079	journal	October 2011
Ab Initio Study of ${}^{40}{Ca}$ with an Importance-Truncated No-Core Shell Model Roth, R.; Navrátil, P. Physical Review Letters, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevLett.99.092501	journal	August 2007
Importance truncation for large-scale configuration interaction approaches Roth, Robert Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.064324	journal	June 2009
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J. Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.082501	journal	August 2009
Evolving nuclear many-body forces with the similarity renormalization group Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034301	journal	March 2011
Coulomb Dissociation of ${}^{8}B$ and the Low-Energy Cross Section of the ${}^{7}{B e} (p, γ) {}^{8}B$ Solar Fusion Reaction Schümann, F.; Hammache, F.; Typel, S. Physical Review Letters, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevLett.90.232501	journal	June 2003
Low-energy cross section of the ${}^{7}{Be}$ ( $p, γ$ ) ${}^{8}B$ solar fusion reaction from the Coulomb dissociation of ${}^{8}B$ Schümann, F.; Typel, S.; Hammache, F. Physical Review C, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevC.73.015806	journal	January 2006
Precise measurement of the ${}^{7}{Be} (p, γ) {}^{8}B$ $S$ factor Junghans, A. R.; Mohrmann, E. C.; Snover, K. A. Physical Review C, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevC.68.065803	journal	December 2003
Solar fusion cross sections Adelberger, Eric G.; Austin, Sam M.; Bahcall, John N. Reviews of Modern Physics, Vol. 70, Issue 4 https://doi.org/10.1103/RevModPhys.70.1265	journal	October 1998
Ab Initio Many-Body Calculations of the ${}^{3}H (d, n) {}^{4}{He}$ and ${}^{3}{He} (d, p) {}^{4}{He}$ Fusion Reactions Navrátil, Petr; Quaglioni, Sofia Physical Review Letters, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevLett.108.042503	journal	January 2012

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