Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions

Abe, T.; Maris, P.; Otsuka, T.; Shimizu, N.; Utsuno, Y.; Vary, J. P.

doi:10.1103/physrevc.104.054315

Title: Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions

Journal Article · Wed Nov 24 00:00:00 EST 2021 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.104.054315· OSTI ID:1979833

^[1]; Maris, P. ^[2];

^[3]; Shimizu, N. ^[4]; Utsuno, Y. ^[5];

^[2]

RIKEN Nishina Center, Wako (Japan); Univ. of Tokyo (Japan)
Iowa State Univ., Ames, IA (United States)
RIKEN Nishina Center, Wako (Japan); Univ. of Tokyo (Japan); Japan Atomic Energy Agency (JAEA), Tokai (Japan)
Univ. of Tokyo (Japan)
Univ. of Tokyo (Japan); Japan Atomic Energy Agency (JAEA), Tokai (Japan)

We report J^π = 0⁺ ground-state energies and point-proton radii of ⁴He, ⁸Be, ¹²C, ¹⁶O, and ²⁰Ne nuclei calculated by the ab initio no-core Monte Carlo shell model with the JISP16 and Daejeon16 nonlocal NN interactions. Ground-state energies are obtained in the basis spaces up to seven oscillator shells (N_shell=7) with several oscillator energies (ℏω) around the optimal oscillator energy for the convergence of ground-state energies. These energy eigenvalues are extrapolated to obtain estimates of converged ground-state energies in each basis space using energy variances of computed energy eigenvalues. We further extrapolate these energy-variance-extrapolated energies obtained in the finite basis spaces to infinite basis-space results with an empirical exponential form. This form features a dependence on the basis-space size but is independent of the value of ℏω used for the harmonic-oscillator basis functions. Point-proton radii for these states of atomic nuclei are also calculated following techniques employed for the energies. From these results, it is found that the Daejeon16 NN interaction provides good agreement with experimental data up to approximately ¹⁶O, while the JISP16 NN interaction provides good agreement with experimental data up to approximately ¹²C. Beyond these nuclei, the interactions produce overbinding accompanied by radii that are too small. These findings suggest and encourage further revisions of nonlocal NN interactions towards the investigation of nuclear structure in heavier-mass regions.

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Research Organization:: Iowa State Univ., Ames, IA (United States); University of North Carolina, Chapel Hill, NC (United States); Univ. of Tennessee, Knoxville, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC); JSPS KAKENHI

Grant/Contract Number:: FG02-87ER40371; SC0015376; SC0018223; JP21K03564; JP19H05145; JP21H00117

OSTI ID:: 1979833

Journal Information:: Physical Review. C, Vol. 104, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (77)

Large-scale exact diagonalizations reveal low-momentum scales of nuclei Forssén, C.; Carlsson, B. D.; Johansson, H. T. Physical Review C, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevC.97.034328	journal	March 2018
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
Symmetry-guided large-scale shell-model theory Launey, Kristina D.; Dytrych, Tomas; Draayer, Jerry P. Progress in Particle and Nuclear Physics, Vol. 89 https://doi.org/10.1016/j.ppnp.2016.02.001	journal	July 2016
Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.022505	journal	January 2013
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
Daejeon16 interaction with contact-term corrections for heavy nuclear systems Papakonstantinou, Panagiota; Vary, James P.; Kim, Youngman Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 8 https://doi.org/10.1088/1361-6471/ac0b30	journal	July 2021
Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities Burrows, M.; Elster, Ch.; Weppner, S. P. Physical Review C, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevC.99.044603	journal	April 2019
Nonempirical Interactions for the Nuclear Shell Model: An Update Stroberg, S. Ragnar; Hergert, Heiko; Bogner, Scott K. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101917-021120	journal	October 2019
Monte Carlo shell model for atomic nuclei Otsuka, T.; Honma, M.; Mizusaki, T. Progress in Particle and Nuclear Physics, Vol. 47, Issue 1 https://doi.org/10.1016/S0146-6410(01)00157-0	journal	January 2001
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
Monte Carlo shell model studies with massively parallel supercomputers Shimizu, Noritaka; Abe, Takashi; Honma, Michio Physica Scripta, Vol. 92, Issue 6 https://doi.org/10.1088/1402-4896/aa65e4	journal	April 2017
Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions Roth, Robert; Binder, Sven; Vobig, Klaus Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.052501	journal	July 2012
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
Method for measuring the entanglement of formation for arbitrary-dimensional pure states Li, Ming; Fei, Shao-Ming Physical Review A, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevA.85.014304	journal	January 2012
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
Nucleon-nucleon scattering with the complex scaling method and realistic interactions Papadimitriou, G.; Vary, J. P. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.021001	journal	February 2015
Ab initio nuclear many-body perturbation calculations in the Hartree-Fock basis Hu, B. S.; Xu, F. R.; Sun, Z. H. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.014303	journal	July 2016
Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method Honma, Michio; Mizusaki, Takahiro; Otsuka, Takaharu Physical Review Letters, Vol. 77, Issue 16 https://doi.org/10.1103/PhysRevLett.77.3315	journal	October 1996
Chaotic Wave Functions and Exponential Convergence of Low-Lying Energy Eigenvalues Horoi, Mihai; Volya, Alexander; Zelevinsky, Vladimir Physical Review Letters, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevLett.82.2064	journal	March 1999
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
Diagonalization of Hamiltonians for Many-Body Systems by Auxiliary Field Quantum Monte Carlo Technique Honma, Michio; Mizusaki, Takahiro; Otsuka, Takaharu Physical Review Letters, Vol. 75, Issue 7 https://doi.org/10.1103/PhysRevLett.75.1284	journal	August 1995
Ab initio leading order effective potentials for elastic nucleon-nucleus scattering Burrows, M.; Baker, R. B.; Elster, Ch. Physical Review C, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevC.102.034606	journal	September 2020
Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods Abe, T.; Maris, P.; Otsuka, T. Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.054301	journal	November 2012
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
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-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Collective Modes in Light Nuclei from First Principles Dytrych, T.; Launey, K. D.; Draayer, J. P. Physical Review Letters, Vol. 111, Issue 25 https://doi.org/10.1103/PhysRevLett.111.252501	journal	December 2013
Table of experimental nuclear ground state charge radii: An update Angeli, I.; Marinova, K. P. Atomic Data and Nuclear Data Tables, Vol. 99, Issue 1 https://doi.org/10.1016/j.adt.2011.12.006	journal	January 2013
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
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
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
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
Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei Dytrych, T.; Maris, P.; Launey, K. D. Computer Physics Communications, Vol. 207 https://doi.org/10.1016/j.cpc.2016.06.006	journal	October 2016
Extrapolation method for the no-core shell model Zhan, H.; Nogga, A.; Barrett, B. R. Physical Review C, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevC.69.034302	journal	March 2004
AB INITIO NUCLEAR STRUCTURE CALCULATIONS OF p-SHELL NUCLEI WITH JISP16 Maris, Pieter; Vary, James P. International Journal of Modern Physics E, Vol. 22, Issue 07 https://doi.org/10.1142/S0218301313300166	journal	July 2013
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
Benchmark calculations for ${}^{3}H$ , ${}^{4}{He}$ , ${}^{16}O$ , and ${}^{40}{Ca}$ 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
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group Gebrerufael, Eskendr; Vobig, Klaus; Hergert, Heiko Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.152503	journal	April 2017
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
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to $^{7}$ He Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034326	journal	March 2013
Emergent $Sp (3, R)$ Dynamical Symmetry in the Nuclear Many-Body System from an Ab Initio Description McCoy, Anna E.; Caprio, Mark A.; Dytrych, Tomáš Physical Review Letters, Vol. 125, Issue 10 https://doi.org/10.1103/PhysRevLett.125.102505	journal	September 2020
Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with chiral two- and three-nucleon forces Miyagi, T.; Abe, T.; Kohno, M. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevC.100.034310	journal	September 2019
Extrapolation of nuclear structure observables with artificial neural networks Jiang, W. G.; Hagen, G.; Papenbrock, T. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevC.100.054326	journal	November 2019
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Benchmark of the No-Core Monte Carlo Shell Model in Light Nuclei Abe, T.; Maris, P.; Otsuka, T. Few-Body Systems, Vol. 54, Issue 7-10 https://doi.org/10.1007/s00601-013-0678-1	journal	February 2013
Halo nuclei ${}^{6}{He}$ and ${}^{8}{He}$ with the Coulomb-Sturmian basis Caprio, M. A.; Maris, P.; Vary, J. P. Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.034305	journal	September 2014
New-generation Monte Carlo shell model for the K computer era Shimizu, Noritaka; Abe, Takashi; Tsunoda, Yusuke Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1 https://doi.org/10.1093/ptep/pts012	journal	January 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
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
Unitary-Model-Operator Approach to Nuclear-Structure Physics. I Shakin, C. M.; Waghmare, Y. R.; Hull, M. H. Physical Review, Vol. 161, Issue 4 https://doi.org/10.1103/PhysRev.161.1006	journal	September 1967
Novel extrapolation method in the Monte Carlo shell model Shimizu, Noritaka; Utsuno, Yutaka; Mizusaki, Takahiro Physical Review C, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevC.82.061305	journal	December 2010
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 In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.007	journal	March 2016
Quantum Monte Carlo diagonalization with angular momentum projection Mizusaki, Takahiro; Honma, Michio; Otsuka, Takaharu Physical Review C, Vol. 53, Issue 6 https://doi.org/10.1103/PhysRevC.53.2786	journal	June 1996
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
Nonparametric Bayesian approach to extrapolation problems in configuration interaction methods Yoshida, Sota Physical Review C, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevC.102.024305	journal	August 2020
Structure of the $N = Z = 28$ Closed Shell Studied by Monte Carlo Shell Model Calculation Otsuka, Takaharu; Honma, Michio; Mizusaki, Takahiro Physical Review Letters, Vol. 81, Issue 8 https://doi.org/10.1103/PhysRevLett.81.1588	journal	August 1998
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
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
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
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
Self-Consistent Green’s Function Approaches Barbieri, Carlo; Carbone, Arianna An Advanced Course in Computational Nuclear Physics, p. 571-644 https://doi.org/10.1007/978-3-319-53336-0_11	book	May 2017
Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem Suzuki, K.; Okamoto, R. Progress of Theoretical Physics, Vol. 92, Issue 6 https://doi.org/10.1143/ptp/92.6.1045	journal	December 1994
Physics of Nuclei: Key Role of an Emergent Symmetry Dytrych, T.; Launey, K. D.; Draayer, J. P. Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRevLett.124.042501	journal	January 2020
The Ame2012 atomic mass evaluation Wang, M.; Audi, G.; Wapstra, A. H. Chinese Physics C, Vol. 36, Issue 12 https://doi.org/10.1088/1674-1137/36/12/003	journal	December 2012
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
Accurate nuclear radii and binding energies from a chiral interaction Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.051301	journal	May 2015
Probing ab initio emergence of nuclear rotation Caprio, Mark A.; Fasano, Patrick J.; Maris, Pieter The European Physical Journal A, Vol. 56, Issue 4 https://doi.org/10.1140/epja/s10050-020-00112-0	journal	April 2020
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
Similarity-Transformed Chiral $N N + 3 N$ Interactions for the Ab Initio Description of ${}^{12}C$ and ${}^{16}O$ Roth, Robert; Langhammer, Joachim; Calci, Angelo Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072501	journal	August 2011
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
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Unitary-Model-Operator Approach to Nuclear-Structure Physics. II. Applications Shakin, C. M.; Waghmare, Y. R.; Tomaselli, M. Physical Review, Vol. 161, Issue 4 https://doi.org/10.1103/PhysRev.161.1015	journal	September 1967
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
Evolved chiral $N N + 3 N$ Hamiltonians for ab initio nuclear structure calculations Roth, Robert; Calci, Angelo; Langhammer, Joachim Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024325	journal	August 2014
Nuclear sizes and the isotope shift Friar, J. L.; Martorell, J.; Sprung, D. W. L. Physical Review A, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevA.56.4579	journal	December 1997

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