Recent Developments in No-Core Shell-Model Calculations

Navratil, P; Quaglioni, S; Stetcu, I; Barrett, B R

doi:10.1088/0954-3899/36/8/083101

Recent Developments in No-Core Shell-Model Calculations

Journal Article · Fri Mar 20 04:00:00 EDT 2009 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/0954-3899/36/8/083101· OSTI ID:957622

Navratil, P; Quaglioni, S; Stetcu, I; Barrett, B R

We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this aproach, we start from realistic two-nucleon or two- plus three-nucleon interactions. Many-body calculations are performed using a finite harmonic-oscillator (HO) basis. To facilitate convergence for realistic inter-nucleon interactions that generate strong short-range correlations, we derive effective interactions by unitary transformations that are tailored to the HO basis truncation. For soft realistic interactions this might not be necessary. If that is the case, the NCSM calculations are variational. In either case, the ab initio NCSM preserves translational invariance of the nuclear many-body problem. In this review, we, in particular, highlight results obtained with the chiral two- plus three-nucleon interactions. We discuss efforts to extend the applicability of the NCSM to heavier nuclei and larger model spaces using importance-truncation schemes and/or use of effective interactions with a core. We outline an extension of the ab initio NCSM to the description of nuclear reactions by the resonating group method technique. A future direction of the approach, the ab initio NCSM with continuum, which will provide a complete description of nuclei as open systems with coupling of bound and continuum states is given in the concluding part of the review.

View Journal Article

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA

Sponsoring Organization:: USDOE

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 957622

Report Number(s):: LLNL-JRNL-411567

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Vol. 36; ISSN 0954-3899; ISSN JPGPED

Country of Publication:: United States

Language:: English

References (165)

Ab initio symplectic no-core shell model Dytrych, T.; Sviratcheva, K. D.; Draayer, J. P. Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 12 https://doi.org/10.1088/0954-3899/35/12/123101	journal	September 2008
Scattering states in the four nucleons system Ciesielski, F.; Carbonell, J.; Gignoux, C. Nuclear Physics A, Vol. 631 https://doi.org/10.1016/S0375-9474(98)00085-2	journal	March 1998
Coulomb sum and proton-proton correlations in few-body nuclei Schiavilla, R.; Wiringa, R. B.; Carlson, J. Physical Review Letters, Vol. 70, Issue 25 https://doi.org/10.1103/PhysRevLett.70.3856	journal	June 1993
Effective operator theory in boson mappings Navrátil, P.; Geyer, H. B. Nuclear Physics A, Vol. 556, Issue 2 https://doi.org/10.1016/0375-9474(93)90346-Y	journal	May 1993
Effective operators within the ab initio no-core shell model Stetcu, Ionel; Barrett, Bruce R.; Navrátil, Petr Physical Review C, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevC.71.044325	journal	April 2005
7Be(p,γ)8B S-factor from ab initio wave functions Navrátil, P.; Bertulani, C. A.; Caurier, E. Nuclear Physics A, Vol. 787, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.12.082	journal	May 2007
Similarity renormalization group evolution of many-body forces in a one-dimensional model Jurgenson, E. D.; Furnstahl, R. J. Nuclear Physics A, Vol. 818, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.12.007	journal	March 2009
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
Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to Li6 and B10 Navrátil, P.; Caurier, E. Physical Review C, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevC.69.014311	journal	January 2004
Ground state wave functions in the hyperspherical formalism for nuclei with A>4 Barnea, Nir; Leidemann, Winfried; Orlandini, Giuseppina Nuclear Physics A, Vol. 650, Issue 4 https://doi.org/10.1016/S0375-9474(99)00113-X	journal	April 1999
Subleading contributions to the chiral three-nucleon force: Long-range terms Bernard, V.; Epelbaum, E.; Krebs, H. Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.064004	journal	June 2008
Nuclear Charge Radii of Li 9 , 11 : The Influence of Halo Neutrons Sánchez, R.; Nörtershäuser, W.; Ewald, G. Physical Review Letters, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevLett.96.033002	journal	January 2006
Convergent Theory for Effective Interaction in Nuclei Suzuki, K.; Lee, S. Y. Progress of Theoretical Physics, Vol. 64, Issue 6 https://doi.org/10.1143/PTP.64.2091	journal	December 1980
Measurement of the Coulomb Dissociation of 8 B at 254 MeV / nucleon and the 8 B Solar Neutrino Flux Iwasa, N.; Boué, F.; Surówka, G. Physical Review Letters, Vol. 83, Issue 15 https://doi.org/10.1103/PhysRevLett.83.2910	journal	October 1999
Benchmark test calculation of a four-nucleon bound state Kamada, H.; Nogga, A.; Glöckle, W. Physical Review C, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevC.64.044001	journal	August 2001
Nuclear electric dipole moment of 3He Stetcu, I.; Liu, C. -P.; Friar, J. L. Physics Letters B, Vol. 665, Issue 4 https://doi.org/10.1016/j.physletb.2008.06.019	journal	July 2008
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
Four-Body Calculation of Proton- He 3 Scattering Deltuva, A.; Fonseca, A. C. Physical Review Letters, Vol. 98, Issue 16 https://doi.org/10.1103/PhysRevLett.98.162502	journal	April 2007
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
Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem Suzuki, Kenji; Okamoto, Ryoji Progress of Theoretical Physics, Vol. 92, Issue 6 https://doi.org/10.1143/PTP.92.1045	journal	December 1994
Simultaneous measurement of the photodisintegration of He 4 in the giant dipole resonance region Shima, T.; Naito, S.; Nagai, Y. Physical Review C, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevC.72.044004	journal	October 2005
Effective field theory of nuclear forces Van Kolck, U. Progress in Particle and Nuclear Physics, Vol. 43 https://doi.org/10.1016/S0146-6410(99)00097-6	journal	January 1999
Measurement of interaction cross sections using isotope beams of Be and B and isospin dependence of the nuclear radii Tanihata, I.; Kobayashi, T.; Yamakawa, O. Physics Letters B, Vol. 206, Issue 4 https://doi.org/10.1016/0370-2693(88)90702-2	journal	June 1988
Alpha-particle binding energies for realistic nucleon-nucleon interactions Glöckle, W.; Kamada, H. Physical Review Letters, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevLett.71.971	journal	August 1993
Matrix elements and few-body calculations within the unitary correlation operator method Roth, R.; Hergert, H.; Papakonstantinou, P. Physical Review C, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevC.72.034002	journal	September 2005
Lifetime of the First Excited State of Be 11 Hanna, S. S.; Nagatani, K.; Harris, W. R. Physical Review C, Vol. 3, Issue 6 https://doi.org/10.1103/PhysRevC.3.2198	journal	June 1971
Two-nucleon potential from chiral Lagrangians Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review C, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevC.53.2086	journal	May 1996
Microscopic origins of effective charges in the shell model Navrátil, Petr; Thoresen, Michael; Barrett, Bruce R. Physical Review C, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevC.55.R573	journal	February 1997
Chiral perturbation theory to one loop Gasser, J.; Leutwyler, H. Annals of Physics, Vol. 158, Issue 1 https://doi.org/10.1016/0003-4916(84)90242-2	journal	November 1984
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 Shell Model Calculations with Three-Body Effective Interactions for p -Shell Nuclei Navrátil, Petr; Ormand, W. Erich Physical Review Letters, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevLett.88.152502	journal	April 2002
Four-nucleon force in chiral effective field theory Epelbaum, E. Physics Letters B, Vol. 639, Issue 5 https://doi.org/10.1016/j.physletb.2006.06.046	journal	August 2006
Simple and Exact Method for Calculating the Nuclear Reaction Matrix Barrett, B. R.; Hewitt, R. G. L.; McCarthy, R. J. Physical Review C, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevC.3.1137	journal	March 1971
Microscopic calculations of the spectra of light nuclei Zheng, D. C.; Barrett, B. R.; Jaqua, L. Physical Review C, Vol. 48, Issue 3 https://doi.org/10.1103/PhysRevC.48.1083	journal	September 1993
Strong E 1 transitions in Be 9 , Be 11 , and C 13 Millener, D. J.; Olness, J. W.; Warburton, E. K. Physical Review C, Vol. 28, Issue 2 https://doi.org/10.1103/PhysRevC.28.497	journal	August 1983
Improved calculation of the muonic-helium Lamb shift Borie, E.; Rinker, G. A. Physical Review A, Vol. 18, Issue 2 https://doi.org/10.1103/PhysRevA.18.324	journal	August 1978
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states Kievsky, A.; Rosati, S.; Viviani, M. Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 6 https://doi.org/10.1088/0954-3899/35/6/063101	journal	May 2008
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
Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model Forssén, C.; Caurier, E.; Navrátil, P. Physical Review C, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevC.79.021303	journal	February 2009
Ab initio no-core full configuration calculations of light nuclei Maris, P.; Vary, J. P.; Shirokov, A. M. Physical Review C, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevC.79.014308	journal	January 2009
The Dispersion by Hydrogen-Like Atoms in Undulatory Mechanics Podolsky, B. Proceedings of the National Academy of Sciences, Vol. 14, Issue 3 https://doi.org/10.1073/pnas.14.3.253	journal	March 1928
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
Ab-initio shell model with a core Lisetskiy, A. F.; Barrett, B. R.; Kruse, M. K. G. Physical Review C, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevC.78.044302	journal	October 2008
Converging sequences in the ab initio no-core shell model Forssén, C.; Vary, J. P.; Caurier, E. Physical Review C, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevC.77.024301	journal	February 2008
E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS Bedaque, Paulo F.; van Kolck, Ubirajara Annual Review of Nuclear and Particle Science, Vol. 52, Issue 1 https://doi.org/10.1146/annurev.nucl.52.050102.090637	journal	December 2002
Six-Nucleon Spectroscopy from a Realistic Nonlocal Hamiltonian Navrátil, P.; Vary, J. P.; Ormand, W. E. Physical Review Letters, Vol. 87, Issue 17 https://doi.org/10.1103/PhysRevLett.87.172502	journal	October 2001
Nucleon-nucleon potential from an effective chiral Lagrangian Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevLett.72.1982	journal	March 1994
Nuclear Charge Radius of He 8 Mueller, P.; Sulai, I. A.; Villari, A. C. C. Physical Review Letters, Vol. 99, Issue 25 https://doi.org/10.1103/PhysRevLett.99.252501	journal	December 2007
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
Photoabsorption on He 4 with a Realistic Nuclear Force Gazit, Doron; Bacca, Sonia; Barnea, Nir Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.112301	journal	March 2006
H 3 (α,γ ) 7 Li reaction at low energies Brune, C. R.; Kavanagh, R. W.; Rolfs, C. Physical Review C, Vol. 50, Issue 4 https://doi.org/10.1103/PhysRevC.50.2205	journal	October 1994
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
Revelation of thick neutron skins in nuclei Tanihata, I.; Hirata, D.; Kobayashi, T. Physics Letters B, Vol. 289, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91216-V	journal	September 1992
Full 0ħω shell model calculation of the binding energies of the 1 f 7 / 2 nuclei Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Physical Review C, Vol. 59, Issue 4 https://doi.org/10.1103/PhysRevC.59.2033	journal	April 1999
Be 7 ( p , γ ) B 8 S factor from ab initio no-core shell model wave functions Navrátil, P.; Bertulani, C. A.; Caurier, E. Physical Review C, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevC.73.065801	journal	June 2006
On the rms-radius of the proton Sick, Ingo Physics Letters B, Vol. 576, Issue 1-2 https://doi.org/10.1016/j.physletb.2003.09.092	journal	December 2003
Low momentum nucleon-nucleon potential and shell model effective interactions Bogner, Scott; Kuo, T. T. S.; Coraggio, L. Physical Review C, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevC.65.051301	journal	April 2002
New Measurement of the Charge Radius of the Neutron Kopecky, S.; Riehs, P.; Harvey, J. A. Physical Review Letters, Vol. 74, Issue 13 https://doi.org/10.1103/PhysRevLett.74.2427	journal	March 1995
Translationally invariant coupled cluster theory for simple finite systems Bishop, R. F.; Flynn, M. F.; Boscá, M. C. Physical Review C, Vol. 42, Issue 4 https://doi.org/10.1103/PhysRevC.42.1341	journal	October 1990
Energy levels of light nuclei A=5, 6, 7 Tilley, D. R.; Cheves, C. M.; Godwin, J. L. Nuclear Physics A, Vol. 708, Issue 1-2 https://doi.org/10.1016/S0375-9474(02)00597-3	journal	September 2002
Energy levels of light nuclei A = 11−12 Ajzenberg-Selove, F. Nuclear Physics A, Vol. 506, Issue 1 https://doi.org/10.1016/0375-9474(90)90271-M	journal	January 1990
Measurement of the He 4 ( γ , n ) reaction from 23 < E γ < 70 MeV Nilsson, B.; Adler, J. -O.; Andersson, B. -E. Physical Review C, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevC.75.014007	journal	January 2007
Spurious states in the Faddeev formalism for few-body systems Navrátil, P.; Barrett, B. R.; Glöckle, W. Physical Review C, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevC.59.611	journal	February 1999
Effects of E2 transitions in the Coulomb dissociation of 8B Esbensen, H.; Bertsch, G. F. Nuclear Physics A, Vol. 600, Issue 1 https://doi.org/10.1016/0375-9474(96)00006-1	journal	April 1996
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
Precise measurement of the Be 7 ( p , γ ) B 8 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
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI Pieper, Steven C.; Wiringa, R. B. Annual Review of Nuclear and Particle Science, Vol. 51, Issue 1 https://doi.org/10.1146/annurev.nucl.51.101701.132506	journal	December 2001
Ab Initio Many-Body Calculations of n − H 3 , n − He 4 , p − He 3 , 4 , and n − Be 10 Scattering Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092501	journal	August 2008
Neutron charge radius determined from the energy dependence of the neutron transmission of liquid 208 Pb and 209 Bi Kopecky, S.; Harvey, J. A.; Hill, N. W. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.2229	journal	October 1997
Comment on “ Ab initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model” Dean, D. J.; Hagen, G.; Hjorth-Jensen, M. Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.119201	journal	September 2008
Long- and short-range correlations in the ab-initio no-core shell model Stetcu, Ionel; Barrett, Bruce R.; Navrátil, Petr Physical Review C, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevC.73.037307	journal	March 2006
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
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
Four-nucleon scattering: Ab initio calculations in momentum space Deltuva, A.; Fonseca, A. C. Physical Review C, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevC.75.014005	journal	January 2007
Radiative capture reaction He 3 ( α , γ ) Be 7 at low energies Kim, B. T.; Izumoto, T.; Nagatani, K. Physical Review C, Vol. 23, Issue 1 https://doi.org/10.1103/PhysRevC.23.33	journal	January 1981
Ground state correlations and mean field in 16 O Heisenberg, Jochen H.; Mihaila, Bogdan Physical Review C, Vol. 59, Issue 3 https://doi.org/10.1103/PhysRevC.59.1440	journal	March 1999
An introductory guide to effective operators in nuclei Ellis, P. J.; Osnes, E. Reviews of Modern Physics, Vol. 49, Issue 4 https://doi.org/10.1103/RevModPhys.49.777	journal	October 1977
Neutrino- C 12 Scattering in the Ab Initio Shell Model with a Realistic Three-Body Interaction Hayes, A. C.; Navrátil, P.; Vary, J. P. Physical Review Letters, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevLett.91.012502	journal	June 2003
Nuclear Ground State Charge Radii from Electromagnetic Interactions Fricke, G.; Bernhardt, C.; Heilig, K. Atomic Data and Nuclear Data Tables, Vol. 60, Issue 2 https://doi.org/10.1006/adnd.1995.1007	journal	July 1995
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Effective-interaction approach to the many-boson problem Christensson, J.; Forssén, C.; Åberg, S. Physical Review A, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevA.79.012707	journal	January 2009
S 17 ( 0 ) Determined from the Coulomb Breakup of 83 MeV / Nucleon B 8 Davids, B.; Anthony, D. W.; Aumann, T. Physical Review Letters, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevLett.86.2750	journal	March 2001
Ab-Initio Coupled-Cluster Study of O 16 Włoch, M.; Dean, D. J.; Gour, J. R. Physical Review Letters, Vol. 94, Issue 21 https://doi.org/10.1103/PhysRevLett.94.212501	journal	June 2005
Chiral perturbation theory: Expansions in the mass of the strange quark Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90492-4	journal	January 1985
Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Inelastic Electron-Nucleus Scattering and Nucleon-Nucleon Correlations McVoy, K. W.; Van Hove, L. Physical Review, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRev.125.1034	journal	February 1962
Re-measurement of the neutron-tritium scattering length Rauch, H.; Tuppinger, D.; Wölwitsch, H. Physics Letters B, Vol. 165, Issue 1-3 https://doi.org/10.1016/0370-2693(85)90686-0	journal	December 1985
No-core shell-model calculations with starting-energy-independent multivalued effective interactions Navrátil, P.; Barrett, B. R. Physical Review C, Vol. 54, Issue 6 https://doi.org/10.1103/PhysRevC.54.2986	journal	December 1996
Calculation of the α-Particle Ground State Viviani, M.; Kievsky, A.; Rosati, S. Few-Body Systems, Vol. 18, Issue 1 https://doi.org/10.1007/s006010050002	journal	January 1995
Complex coupled-cluster approach to an ab-initio description of open quantum systems Hagen, G.; Dean, D. J.; Hjorth-Jensen, M. Physics Letters B, Vol. 656, Issue 4-5 https://doi.org/10.1016/j.physletb.2007.07.072	journal	November 2007
New measurement and reevaluation of the nuclear magnetic andquadrupole moments of Li 8 and Li 9 Borremans, D.; Balabanski, D. L.; Blaum, K. Physical Review C, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevC.72.044309	journal	October 2005
Convergence in the no-core shell model with low-momentum two-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Maris, P. Nuclear Physics A, Vol. 801, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2007.12.008	journal	March 2008
Few-nucleon forces from chiral Lagrangians van Kolck, U. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2932	journal	June 1994
Large-basis shell model studies of light nuclei with a multivalued G -matrix effective interaction Zheng, D. C.; Barrett, B. R.; Vary, J. P. Physical Review C, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevC.52.2488	journal	November 1995
Response functions from integral transforms with a Lorentz kernel Efros, V. Physics Letters B, Vol. 338, Issue 2-3 https://doi.org/10.1016/0370-2693(94)91355-2	journal	October 1994
Simple Formula for the General Oscillator Brackets Trlifaj, L. Physical Review C, Vol. 5, Issue 5 https://doi.org/10.1103/PhysRevC.5.1534	journal	May 1972
Nuclear Charge Radii of Be 7 , 9 , 10 and the One-Neutron Halo Nucleus Be 11 Nörtershäuser, W.; Tiedemann, D.; Žáková, M. Physical Review Letters, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevLett.102.062503	journal	February 2009
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei Navrátil, Petr; Ormand, W. Erich Physical Review C, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevC.68.034305	journal	September 2003
Measurement of the Total Active B 8 Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity Ahmed, S. N.; Anthony, A. E.; Beier, E. W. Physical Review Letters, Vol. 92, Issue 18 https://doi.org/10.1103/PhysRevLett.92.181301	journal	May 2004
Spectra and binding energy predictions of chiral interactions for Li 7 Nogga, A.; Navrátil, P.; Barrett, B. R. Physical Review C, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevC.73.064002	journal	June 2006
Quantum Monte Carlo calculations of A = 9 , 10 nuclei Pieper, Steven C.; Varga, K.; Wiringa, R. B. Physical Review C, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevC.66.044310	journal	October 2002
Electromagnetic Few-Body Response Functions with the Lorentz IntegralTransform Method Efros, V. D.; Leidemann, W.; Orlandini, G. Few-Body Systems, Vol. 26, Issue 2-4 https://doi.org/10.1007/s006010050118	journal	June 1999
7Be(p, γ)8B S-factor from ab initio wave functions Navrátil, P.; Bertulani, C. A.; Caurier, E. Physics Letters B, Vol. 634, Issue 2-3 https://doi.org/10.1016/j.physletb.2006.01.055	journal	March 2006
What Do We (Not) Know Theoretically about Solar Neutrino Fluxes? Bahcall, John N.; Pinsonneault, M. H. Physical Review Letters, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevLett.92.121301	journal	March 2004
Precision neutron interferometric measurements and updated evaluations of the n − p and n − d coherent neutron scattering lengths Schoen, K.; Jacobson, D. L.; Arif, M. Physical Review C, Vol. 67, Issue 4 https://doi.org/10.1103/PhysRevC.67.044005	journal	April 2003
Quantum Monte Carlo calculations of A = 8 nuclei Wiringa, R. B.; Pieper, Steven C.; Carlson, J. Physical Review C, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevC.62.014001	journal	June 2000
Proton Capture by Be 7 and the Solar Neutrino Problem Robertson, R. G. H. Physical Review C, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevC.7.543	journal	February 1973
Energy levels of light nuclei Tilley, D. R.; Kelley, J. H.; Godwin, J. L. Nuclear Physics A, Vol. 745, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2004.09.059	journal	December 2004
Triton binding energies for modern NN forces and the π-π exchange three-nucleon force Nogga, A.; Hüber, D.; Kamada, H. Physics Letters B, Vol. 409, Issue 1-4 https://doi.org/10.1016/S0370-2693(97)00841-1	journal	September 1997
Solar Seismic Models and the Neutrino Predictions Couvidat, S.; Turck‐Chieze, S.; Kosovichev, A. G. The Astrophysical Journal, Vol. 599, Issue 2 https://doi.org/10.1086/379604	journal	December 2003
Large-space shell-model calculations for light nuclei Zheng, D. C.; Vary, J. P.; Barrett, B. R. Physical Review C, Vol. 50, Issue 6 https://doi.org/10.1103/PhysRevC.50.2841	journal	December 1994
Evaluation of modern He 3 ( α , γ ) Be 7 data Cyburt, R. H.; Davids, B. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.064614	journal	December 2008
The exotic nuclei 11Be and 11N in a microscopic cluster model Descouvemont, P. Nuclear Physics A, Vol. 615, Issue 2 https://doi.org/10.1016/S0375-9474(97)00015-8	journal	March 1997
High-precision, charge-dependent Bonn nucleon-nucleon potential Machleidt, R. Physical Review C, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevC.63.024001	journal	January 2001
Few-nucleon forces and systems in chiral effective field theory Epelbaum, Evgeny Progress in Particle and Nuclear Physics, Vol. 57, Issue 2 https://doi.org/10.1016/j.ppnp.2005.09.002	journal	October 2006
Construction of Hermitian Effective Interaction in Nuclei: -- General Relation between Hermitian and Non-Hermitian Forms -- Suzuki, K. Progress of Theoretical Physics, Vol. 68, Issue 1 https://doi.org/10.1143/PTP.68.246	journal	July 1982
Chiral Dynamics in Nucleons and Nuclei Bernard, V.; Kaiser, N.; MeißNer, Ulf-G. International Journal of Modern Physics E, Vol. 04, Issue 02 https://doi.org/10.1142/S0218301395000092	journal	June 1995
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
Precision Measurement of Li 11 Moments: Influence of Halo Neutrons on the Li 9 Core Neugart, R.; Balabanski, D. L.; Blaum, K. Physical Review Letters, Vol. 101, Issue 13 https://doi.org/10.1103/PhysRevLett.101.132502	journal	September 2008
Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei Dytrych, Tomáš; Sviratcheva, Kristina D.; Bahri, Chairul Physical Review Letters, Vol. 98, Issue 16 https://doi.org/10.1103/PhysRevLett.98.162503	journal	April 2007
Laser Spectroscopic Determination of the H 6 e Nuclear Charge Radius Wang, L. -B.; Mueller, P.; Bailey, K. Physical Review Letters, Vol. 93, Issue 14 https://doi.org/10.1103/PhysRevLett.93.142501	journal	September 2004
Translationally invariant density Navrátil, Petr Physical Review C, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevC.70.014317	journal	July 2004
Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory Navrátil, P.; Gueorguiev, V. G.; Vary, J. P. Physical Review Letters, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevLett.99.042501	journal	July 2007
Large basis ab initio shell model investigation of Be 9 and Be 11 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
Nuclear corrections to hyperfine structure in light hydrogenic atoms Friar, J. L.; Payne, G. L. Physical Review C, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevC.72.014002	journal	July 2005
New inversion methods for the Lorentz Integral Transform Andreasi, D.; Leidemann, W.; Reiß, C. The European Physical Journal A, Vol. 24, Issue 3 https://doi.org/10.1140/epja/i2005-10009-3	journal	May 2005
Activation Measurement of the He 3 ( α , γ ) Be 7 Cross Section at Low Energy Bemmerer, D.; Confortola, F.; Costantini, H. Physical Review Letters, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevLett.97.122502	journal	September 2006
Helium. Relativity and QED Drake, G. Nuclear Physics A, Vol. 737 https://doi.org/10.1016/S0375-9474(04)00293-3	journal	June 2004
Phenomenological Lagrangians Weinberg, Steven Physica A: Statistical Mechanics and its Applications, Vol. 96, Issue 1-2 https://doi.org/10.1016/0378-4371(79)90223-1	journal	April 1979
Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system Stetcu, Ionel; Quaglioni, Sofia; Bacca, Sonia Nuclear Physics A, Vol. 785, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2006.12.047	journal	April 2007
Degenerate Perturbation Theory in Quantum Mechanics Suzuki, K.; Okamoto, R. Progress of Theoretical Physics, Vol. 70, Issue 2 https://doi.org/10.1143/PTP.70.439	journal	August 1983
Analog of the giant dipole resonance in He 4 Nakayama, S.; Matsumoto, E.; Hayami, R. Physical Review C, Vol. 76, Issue 2 https://doi.org/10.1103/PhysRevC.76.021305	journal	August 2007
Diagonalization of Hamiltonian and Tamm-Dancoff Equation Ôkubo, Susumu Progress of Theoretical Physics, Vol. 12, Issue 5 https://doi.org/10.1143/PTP.12.603	journal	November 1954
The two-pion-exchange three-nucleon potential and nuclear matter Coon, S. A.; Scadron, M. D.; McNamee, P. C. Nuclear Physics A, Vol. 317, Issue 1 https://doi.org/10.1016/0375-9474(79)90462-7	journal	April 1979
Transformation brackets for harmonic oscillator functions Moshinsky, Marcos Nuclear Physics, Vol. 13, Issue 1 https://doi.org/10.1016/0029-5582(59)90143-9	journal	October 1959
Quantum Monte Carlo calculations of nuclei with A <~ 7 Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Energy independent hermitian and non-hermitian effective operators Navrátil, P.; Geyer, H. B.; Kuo, T. T. S. Physics Letters B, Vol. 315, Issue 1-2 https://doi.org/10.1016/0370-2693(93)90148-B	journal	September 1993
Cluster form factor calculation in the ab initio no-core shell model Navrátil, Petr Physical Review C, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevC.70.054324	journal	November 2004
Realistic nuclear Hamiltonian: Ab exitu approach Shirokov, A. M.; Vary, J. P.; Mazur, A. I. Physics Letters B, Vol. 644, Issue 1 https://doi.org/10.1016/j.physletb.2006.10.066	journal	January 2007
Medium-Mass Nuclei from Chiral Nucleon-Nucleon Interactions Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092502	journal	August 2008
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
Proton radii of He 4 , 6 , 8 isotopes from high-precision nucleon-nucleon interactions Caurier, E.; Navrátil, P. Physical Review C, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevC.73.021302	journal	February 2006
Coulomb Dissociation of B 8 and the Low-Energy Cross Section of the B e 7 ( p , γ ) B 8 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
Ab Initio Study of Ca 40 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
Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions Nollett, Kenneth M. Physical Review C, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevC.63.054002	journal	April 2001
Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials Viviani, M.; Marcucci, L. E.; Rosati, S. Few-Body Systems, Vol. 39, Issue 3-4 https://doi.org/10.1007/s00601-006-0158-y	journal	July 2006
Solutions of the Faddeev-Yakubovsky equations for the four nucleon scattering states Ciesielski, F.; Carbonell, J. Physical Review C, Vol. 58, Issue 1 https://doi.org/10.1103/PhysRevC.58.58	journal	July 1998
The neutron-deuteron scattering lengths Dilg, W.; Koester, L.; Nistler, W. Physics Letters B, Vol. 36, Issue 3 https://doi.org/10.1016/0370-2693(71)90070-0	journal	September 1971
The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory Quaglioni, Sofia; Navrátil, Petr Physics Letters B, Vol. 652, Issue 5-6 https://doi.org/10.1016/j.physletb.2007.06.082	journal	September 2007
Near-threshold measurement of the 4He(γ,n) reaction Nilsson, B.; Adler, J. -O.; Andersson, B. -E. Physics Letters B, Vol. 626, Issue 1-4 https://doi.org/10.1016/j.physletb.2005.08.081	journal	October 2005
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
Roth and Navrátil Reply: Roth, R.; Navrátil, P. Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.119202	journal	September 2008
Sum Rules for Inelastic Electron Scattering Drell, S. D.; Schwartz, C. L. Physical Review, Vol. 112, Issue 2 https://doi.org/10.1103/PhysRev.112.568	journal	October 1958
Unitary-Model-Operator Approach to Nuclear Effective Interaction. II: Effects of Three-Body Cluster Term Suzuki, K. Progress of Theoretical Physics, Vol. 68, Issue 6 https://doi.org/10.1143/PTP.68.1999	journal	December 1982
Local three-nucleon interaction from chiral effective field theory Navrátil, P. Few-Body Systems, Vol. 41, Issue 3-4 https://doi.org/10.1007/s00601-007-0193-3	journal	November 2007
Three-nucleon forces from chiral effective field theory Epelbaum, E.; Nogga, A.; Glöckle, W. Physical Review C, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevC.66.064001	journal	December 2002
Astrophysical S factor of the He 3 ( α , γ ) Be 7 reaction measured at low energy via detection of prompt and delayed γ rays Confortola, F.; Bemmerer, D.; Costantini, H. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.065803	journal	June 2007
Coupled Cluster Calculations of Ground and Excited States of Nuclei Kowalski, K.; Dean, D. J.; Hjorth-Jensen, M. Physical Review Letters, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevLett.92.132501	journal	April 2004
Electromagnetic Transitions with Effective Operators Stetcu, Ionel; Barrett, Bruce R.; NavrÁTil, Petr International Journal of Modern Physics E, Vol. 14, Issue 01 https://doi.org/10.1142/S0218301305002813	journal	February 2005
Ab initio shell model for A = 10 nuclei Caurier, E.; Navrátil, P.; Ormand, W. E. Physical Review C, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevC.66.024314	journal	August 2002
Triton calculations with the new Nijmegen potentials Friar, J. L.; Payne, G. L.; Stoks, V. G. J. Physics Letters B, Vol. 311, Issue 1-4 https://doi.org/10.1016/0370-2693(93)90523-K	journal	July 1993
Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections Marchisio, M. A.; Barnea, N.; Leidemann, W. Few-Body Systems, Vol. 33, Issue 4 https://doi.org/10.1007/s00601-003-0017-z	journal	December 2003
Model-independent low momentum nucleon interaction from phase shift equivalence Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. Physics Reports, Vol. 386, Issue 1 https://doi.org/10.1016/j.physrep.2003.07.001	journal	October 2003
Convergence of Faddeev partial-wave series for triton ground state Chen, C. R.; Payne, G. L.; Friar, J. L. Physical Review C, Vol. 31, Issue 6 https://doi.org/10.1103/PhysRevC.31.2266	journal	June 1985
Four-nucleon shell-model calculations in a Faddeev-like approach Navrátil, P.; Barrett, B. R. Physical Review C, Vol. 59, Issue 4 https://doi.org/10.1103/PhysRevC.59.1906	journal	April 1999

Similar Records

Ab initio calculations of light-ion fusion reactions

Journal Article · Sat Oct 20 00:00:00 EDT 2012 · AIP Conference Proceedings · OSTI ID:22075648

Scattering Of Light Nuclei

Conference · Mon Dec 14 23:00:00 EST 2009 · OSTI ID:969704

Ab Initio Calculations Of Light-Ion Reactions

Conference · Mon Mar 12 00:00:00 EDT 2012 · OSTI ID:1037853

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CONVERGENCE
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEAR REACTIONS
NUCLEI
RESONATING-GROUP METHOD
SHELL MODELS
TRANSFORMATIONS

Recent Developments in No-Core Shell-Model Calculations

Citation Formats

References (165)

Similar Records

Related Subjects