Description of Continuum States within the No-Core Shell Model: Single-State HORSE Method

Mazur, A. I.; Shirokov, A. M.; Mazur, I. A.; Blokhintsev, L. D.; Kim, Y.; Shin, I. J.; Vary, J. P.

doi:10.1134/s1063778819040124

Description of Continuum States within the No-Core Shell Model: Single-State HORSE Method

Journal Article · 01 September 2019 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/s1063778819040124· OSTI ID:1610105

Mazur, A. I.; Shirokov, A. M.; Mazur, I. A.; Blokhintsev, L. D.; Kim, Y.; Shin, I. J.; Vary, J. P.

Not provided.

Research Organization:: Iowa State Univ., Ames, IA (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-87ER40371; AC02-05CH11231

OSTI ID:: 1610105

Journal Information:: Physics of Atomic Nuclei, Vol. 82, Issue 5; ISSN 1063-7788

Publisher:: Springer

Country of Publication:: United States

Language:: English

References (51)

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
Many-fermion theory in expS- (or coupled cluster) form Kümmel, H.; Lührmann, K. H.; Zabolitzky, J. G. Physics Reports, Vol. 36, Issue 1 https://doi.org/10.1016/0370-1573(78)90081-9	journal	February 1978
Benchmark calculations for H 3 , He 4 , O 16 , and Ca 40 with ab initio coupled-cluster theory Hagen, G.; Dean, D. J.; Hjorth-Jensen, M. Physical Review C, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevC.76.044305	journal	October 2007
Lattice simulations for few- and many-body systems Lee, Dean Progress in Particle and Nuclear Physics, Vol. 63, Issue 1 https://doi.org/10.1016/j.ppnp.2008.12.001	journal	July 2009
Ab Initio Calculation of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean Physical Review Letters, Vol. 106, Issue 19 https://doi.org/10.1103/PhysRevLett.106.192501	journal	May 2011
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
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
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis Coon, S. A.; Avetian, M. I.; Kruse, M. K. G. Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.054002	journal	November 2012
Corrections to nuclear energies and radii in finite oscillator spaces Furnstahl, R. J.; Hagen, G.; Papenbrock, T. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.031301	journal	September 2012
Universal properties of infrared oscillator basis extrapolations More, S. N.; Ekström, A.; Furnstahl, R. J. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.044326	journal	April 2013
Extrapolation uncertainties in the importance-truncated no-core shell model Kruse, M. K. G.; Jurgenson, E. D.; Navrátil, P. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.044301	journal	April 2013
Microscopic description of translationally invariant core + N + N overlap functions Sääf, D.; Forssén, C. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.011303	journal	January 2014
Systematic expansion for infrared oscillator basis extrapolations Furnstahl, R. J.; More, S. N.; Papenbrock, T. Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevC.89.044301	journal	April 2014
Ultraviolet extrapolations in finite oscillator bases König, S.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.064007	journal	December 2014
Infrared extrapolations for atomic nuclei Furnstahl, R. J.; Hagen, G.; Papenbrock, T. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034032	journal	February 2015
Infrared length scale and extrapolations for the no-core shell model Wendt, K. A.; Forssén, C.; Papenbrock, T. Physical Review C, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevC.91.061301	journal	June 2015
Properties of infrared extrapolations in a harmonic oscillator basis Coon, Sidney A.; Kruse, Michael K. G. International Journal of Modern Physics E, Vol. 25, Issue 05 https://doi.org/10.1142/S0218301316410111	journal	May 2016
Ab initio no-core solutions for ⁶ Li Shin, Ik Jae; Kim, Youngman; Maris, Pieter Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 7 https://doi.org/10.1088/1361-6471/aa6cb7	journal	May 2017
Reduction of the three-particle collision problem to multi-channel two-particle Lippmann-Schwinger equations Alt, E. O.; Grassberger, P.; Sandhas, W. Nuclear Physics B, Vol. 2, Issue 2 https://doi.org/10.1016/0550-3213(67)90016-8	journal	June 1967
Modern ab initio approaches and applications in few-nucleon physics with Leidemann, Winfried; Orlandini, Giuseppina Progress in Particle and Nuclear Physics, Vol. 68 https://doi.org/10.1016/j.ppnp.2012.09.001	journal	January 2013
The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions Efros, V. D.; Leidemann, W.; Orlandini, G. Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 12 https://doi.org/10.1088/0954-3899/34/12/R02	journal	October 2007
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 no-core Gamow shell model calculations with realistic interactions Papadimitriou, G.; Rotureau, J.; Michel, N. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044318	journal	October 2013
Ab initio many-body calculations of nucleon scattering on He 4 , Li 7 , Be 7 , C 12 , and O 16 Navrátil, Petr; Roth, Robert; Quaglioni, Sofia Physical Review C, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevC.82.034609	journal	September 2010
Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces Hupin, Guillaume; Langhammer, Joachim; Navrátil, Petr Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054622	journal	November 2013
Predictive theory for elastic scattering and recoil of protons from He 4 Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.061601	journal	December 2014
Unified ab initio approaches to nuclear structure and reactions Navrátil, Petr; Quaglioni, Sofia; Hupin, Guillaume Physica Scripta, Vol. 91, Issue 5 https://doi.org/10.1088/0031-8949/91/5/053002	journal	April 2016
Inverse scattering J -matrix approach to nucleon-nucleus scattering and the shell model Shirokov, A. M.; Mazur, A. I.; Vary, J. P. Physical Review C, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevC.79.014610	journal	January 2009
Shell model states in the continuum Shirokov, A. M.; Mazur, A. I.; Mazur, I. A. Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevC.94.064320	journal	December 2016
Description of resonant states in the shell model Mazur, I. A.; Shirokov, A. M.; Mazur, A. I. Physics of Particles and Nuclei, Vol. 48, Issue 1 https://doi.org/10.1134/S1063779617010142	journal	January 2017
SS-HORSE method for studying resonances Blokhintsev, L. D.; Mazur, A. I.; Mazur, I. A. Physics of Atomic Nuclei, Vol. 80, Issue 2 https://doi.org/10.1134/S1063778817020077	journal	March 2017
SS-HORSE Method for Analysis of Resonances: Charged-Particle Scattering Blokhintsev, L. D.; Mazur, A. I.; Mazur, I. A. Physics of Atomic Nuclei, Vol. 80, Issue 6 https://doi.org/10.1134/S1063778817060072	journal	November 2017
Nucleon- α scattering and resonances in He 5 and Li 5 with JISP16 and Daejeon16 NN interactions Shirokov, A. M.; Mazur, A. I.; Mazur, I. A. Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevC.98.044624	journal	October 2018
Prediction for a Four-Neutron Resonance Shirokov, A. M.; Papadimitriou, G.; Mazur, A. I. Physical Review Letters, Vol. 117, Issue 18 https://doi.org/10.1103/PhysRevLett.117.182502	journal	October 2016
Candidate Resonant Tetraneutron State Populated by the He 4 ( He 8 , Be 8 ) Reaction Kisamori, K.; Shimoura, S.; Miya, H. Physical Review Letters, Vol. 116, Issue 5 https://doi.org/10.1103/PhysRevLett.116.052501	journal	February 2016
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
N3LO NN interaction adjusted to light nuclei in ab exitu approach Shirokov, A. M.; Shin, I. J.; Kim, Y. Physics Letters B, Vol. 761 https://doi.org/10.1016/j.physletb.2016.08.006	journal	October 2016
Accurate nucleon–nucleon potential based upon chiral perturbation theory Entem, D. R.; Machleidt, R. Physics Letters B, Vol. 524, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)01363-6	journal	January 2002
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
New L 2 approach to quantum scattering: Theory Heller, Eric J.; Yamani, Hashim A. Physical Review A, Vol. 9, Issue 3 https://doi.org/10.1103/PhysRevA.9.1201	journal	March 1974
J−matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering Yamani, Hashim A. Journal of Mathematical Physics, Vol. 16, Issue 2 https://doi.org/10.1063/1.522516	journal	January 1975
P-Matrix and J-Matrix Approaches: Coulomb Asymptotics in the Harmonic Oscillator Representation of Scattering Theory Bang, J. M.; Mazur, A. I.; Shirokov, A. M. Annals of Physics, Vol. 280, Issue 2 https://doi.org/10.1006/aphy.1999.5992	journal	March 2000
A simple method to extract resonance information from the Harris energy eigenvalues and eigenvectors Yamani, H. A.; Abdelmonem, M. S. Journal of Physics A: Mathematical and General, Vol. 26, Issue 22 https://doi.org/10.1088/0305-4470/26/22/009	journal	November 1993
Extracting accurate resonance information from finite energy eigenvalues Yamani, Hashim A. European Journal of Physics, Vol. 34, Issue 4 https://doi.org/10.1088/0143-0807/34/4/1025	journal	May 2013
True many-particle scattering in the oscillator representation Zaitsev, S. A.; Smirnov, Yu. F.; Shirokov, A. M. Theoretical and Mathematical Physics, Vol. 117, Issue 2 https://doi.org/10.1007/BF02557169	journal	November 1998
Coulomb corrections in non-relativistic scattering Hamilton, J.; Øverbö, I.; Tromborg, B. Nuclear Physics B, Vol. 60 https://doi.org/10.1016/0550-3213(73)90193-4	journal	January 1973
Scattering Theory of Waves and Particles Newton, Roger G. Theoretical and Matematical Physics https://doi.org/10.1007/978-3-642-88128-2	book	January 1982
Nucleon-alpha elastic scattering analyses Arndt, Richard A.; Long, Dale D.; Roper, L. David Nuclear Physics A, Vol. 209, Issue 3 https://doi.org/10.1016/0375-9474(73)90837-3	journal	July 1973
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
S -matrix and R -matrix determination of the low-energy 5 He and 5 Li resonance parameters Csótó, Attila; Hale, G. M. Physical Review C, Vol. 55, Issue 1 https://doi.org/10.1103/PhysRevC.55.536	journal	January 1997
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010

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