Probing ab initio emergence of nuclear rotation

Caprio, Mark A.; Fasano, Patrick J.; Maris, Pieter; McCoy, Anna E.; Vary, James P.

doi:10.1140/epja/s10050-020-00112-0

Probing ab initio emergence of nuclear rotation

Journal Article · Thu Apr 23 00:00:00 EDT 2020 · European Physical Journal. A

DOI:https://doi.org/10.1140/epja/s10050-020-00112-0· OSTI ID:2278980

^[1]; ^[2]; Maris, Pieter ^[3]; ^[4]; ^[3]

University of Notre Dame, IN (United States); Iowa State University
University of Notre Dame, IN (United States)
Iowa State Univ., Ames, IA (United States)
TRIUMF, Vancouver, BC (Canada)

Structural phenomena in nuclei, from shell structure and clustering to superfluidity and collective rotations and vibrations, reflect emergent degrees of freedom. Ab initio theory describes nuclei directly from a fully microscopic formulation. We can therefore look to ab initio theory as a means of exploring the emergence of effective degrees of freedom in nuclei. For the illustrative case of emergent rotational bands in the $Be$ isotopes, we establish an understanding of the underlying oscillator space and angular momentum (orbital and spin) structure. We consider no-core configuration interaction (NCCI) calculations for ^{7, 9, 11}Be with the Daejeon16 internucleon interaction. Although shell model or rotational degrees of freedom are not assumed in the ab initio theory, the NCCI results are suggestive of the emergence of effective shell model degrees of freedom (0$$\hbar$$ω and 2$$\hbar$$ω excitations) and LS-scheme rotational degrees of freedom, consistent with an Elliott–Wilsdon SU(3) description. Finally, these results provide some basic insight into the connection between emergent effective collective rotational and shell model degrees of freedom in these light nuclei and the underlying ab initio microscopic description.

View Accepted Manuscript (DOE)

Research Organization:: Iowa State Univ., Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; FG02-87ER40371; FG02-95ER40934

OSTI ID:: 2278980

Alternate ID(s):: OSTI ID: 1800676
OSTI ID: 22898651

Journal Information:: European Physical Journal. A, Journal Name: European Physical Journal. A Journal Issue: 4 Vol. 56; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (80)

Improving the scalability of a symmetric iterative eigensolver for multi-core platforms: IMPROVING THE SCALABILITY OF A SYMMETRIC ITERATIVE EIGENSOLVER Aktulga, Hasan Metin; Yang, Chao; Ng, Esmond G. Concurrency and Computation: Practice and Experience, Vol. 26, Issue 16 https://doi.org/10.1002/cpe.3129	journal	September 2013
From Nucleons to Nucleus Suhonen, Jouni Theoretical and Mathematical Physics https://doi.org/10.1007/978-3-540-48861-3	book	January 2007
Dimers based on the α + α potential and chain states of carbon isotopes von Oertzen, W. Zeitschrift für Physik A Hadrons and Nuclei, Vol. 357, Issue 4 https://doi.org/10.1007/s002180050255	journal	December 1997
Intrinsic Structure of Light Nuclei in Monte Carlo Shell Model Calculation Yoshida, T.; Shimizu, N.; Abe, T. Few-Body Systems, Vol. 54, Issue 7-10 https://doi.org/10.1007/s00601-013-0680-7	journal	February 2013
An alpha-particle model for some light nuclei Kunz, P. D. Annals of Physics, Vol. 11, Issue 3 https://doi.org/10.1016/0003-4916(60)90111-1	journal	November 1960
On the algebraic formulation of collective models III. The symplectic shell model of collective motion Rosensteel, G.; Rowe, D. J. Annals of Physics, Vol. 126, Issue 2 https://doi.org/10.1016/0003-4916(80)90180-3	journal	May 1980
A coupled rotor-vibrator model as the macroscopic limit of the microscopic symplectic model Le Blanc, R.; Carvalho, J.; Rowe, D. J. Physics Letters B, Vol. 140, Issue 3-4 https://doi.org/10.1016/0370-2693(84)90910-9	journal	June 1984
Symplectic and cluster excitations in nuclei: Suzuki, Y.; Hecht, K. T. Nuclear Physics A, Vol. 455, Issue 2 https://doi.org/10.1016/0375-9474(86)90021-7	journal	July 1986
An effective shell-model theory of collective states Le Blanc, R.; Carvalho, J.; Vassanji, M. Nuclear Physics A, Vol. 452, Issue 2 https://doi.org/10.1016/0375-9474(86)90309-X	journal	April 1986
Structure of unstable light nuclei Millener, D. J. Nuclear Physics A, Vol. 693, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)00589-9	journal	October 2001
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
Table of nuclear electric quadrupole moments Stone, N. J. Atomic Data and Nuclear Data Tables, Vol. 111-112 https://doi.org/10.1016/j.adt.2015.12.002	journal	September 2016
Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver Shao, Meiyue; Aktulga, H. Metin; Yang, Chao Computer Physics Communications, Vol. 222 https://doi.org/10.1016/j.cpc.2017.09.004	journal	January 2018
Cluster structures within Fermionic Molecular Dynamics Neff, T.; Feldmeier, H. Nuclear Physics A, Vol. 738 https://doi.org/10.1016/j.nuclphysa.2004.04.061	journal	June 2004
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
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
Effective theory for deformed nuclei Papenbrock, T. Nuclear Physics A, Vol. 852, Issue 1 https://doi.org/10.1016/j.nuclphysa.2010.12.013	journal	February 2011
Energy levels of light nuclei Kelley, J. H.; Kwan, E.; Purcell, J. E. Nuclear Physics A, Vol. 880 https://doi.org/10.1016/j.nuclphysa.2012.01.010	journal	April 2012
Cluster shell model: I. Structure of 9Be, 9B Della Rocca, V.; Iachello, F. Nuclear Physics A, Vol. 973 https://doi.org/10.1016/j.nuclphysa.2018.02.003	journal	May 2018
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
Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei Caprio, M. A.; Maris, P.; Vary, J. P. Physics Letters B, Vol. 719, Issue 1-3 https://doi.org/10.1016/j.physletb.2012.12.064	journal	February 2013
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
Symmetry-adapted no-core shell model applications for light nuclei with QCD-inspired interactions Draayer, J. P.; Dytrych, T.; Launey, K. D. Progress in Particle and Nuclear Physics, Vol. 67, Issue 2 https://doi.org/10.1016/j.ppnp.2012.01.020	journal	April 2012
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
Scaling of ab-initio nuclear physics calculations on multicore computer architectures Maris, Pieter; Sosonkina, Masha; Vary, James P. Procedia Computer Science, Vol. 1, Issue 1 https://doi.org/10.1016/j.procs.2010.04.012	journal	May 2010
The Interacting Boson Model Iachello, F.; Arima, A. Cambridge Monographs on Mathematical Physics https://doi.org/10.1017/CBO9780511895517	book	November 2011
Study of clustering in isotopes of beryllium Kravvaris, Konstantinos; Volya, Alexander 6TH INTERNATIONAL CONFERENCE ON PRODUCTION, ENERGY AND RELIABILITY 2018: World Engineering Science & Technology Congress (ESTCON), AIP Conference Proceedings https://doi.org/10.1063/1.5078845	conference	January 2018
The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective Rowe, D. J.; McCoy, A. E.; Caprio, M. A. Physica Scripta, Vol. 91, Issue 3 https://doi.org/10.1088/0031-8949/91/3/033003	journal	February 2016
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
Microscopic theory of the nuclear collective model Rowe, D. J. Reports on Progress in Physics, Vol. 48, Issue 10 https://doi.org/10.1088/0034-4885/48/10/003	journal	October 1985
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
In-medium similarity renormalization group for closed and open-shell nuclei Hergert, H. Physica Scripta, Vol. 92, Issue 2 https://doi.org/10.1088/1402-4896/92/2/023002	journal	December 2016
Band structures in light neutron-rich nuclei Bohlen, H. G.; Oertzen, W. von; Kalpakchieva, R. Journal of Physics: Conference Series, Vol. 111 https://doi.org/10.1088/1742-6596/111/1/012021	journal	May 2008
Ab Initio Nuclear Structure Calculations of Light Nuclei Maris, Pieter Journal of Physics: Conference Series, Vol. 402 https://doi.org/10.1088/1742-6596/402/1/012031	journal	December 2012
Antisymmetrized molecular dynamics and its applications to cluster phenomena Kanada-En'yo, Yoshiko; Kimura, Masaaki; Ono, Akira Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1 https://doi.org/10.1093/ptep/pts001	journal	January 2012
Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations Elliott, J. P. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 245, Issue 1240, p. 128-145 https://doi.org/10.1098/rspa.1958.0072	journal	May 1958
Collective motion in the nuclear shell model II. The introduction of intrinsic wave-functions Elliott, J. P. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 245, Issue 1243, p. 562-581 https://doi.org/10.1098/rspa.1958.0101	journal	July 1958
Collective motion in the nuclear shell model III. The calculation of spectra Elliott, J. P.; Harvey, M. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 272, Issue 1351, p. 557-577 https://doi.org/10.1098/rspa.1963.0071	journal	April 1963
Collective motion in the nuclear shell model IV. Odd-mass nuclei in the sd shell Elliott, J. P.; Wilson, C. E. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 302, Issue 1471, p. 509-528 https://doi.org/10.1098/rspa.1968.0033	journal	January 1968
Intermediate Coupling in the 1 p -Shell Kurath, Dieter Physical Review, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRev.101.216	journal	January 1956
Inelastic Scattering from Light Nuclei—the Alpha-Particle Model for Be 9 Blair, J. S.; Henley, E. M. Physical Review, Vol. 112, Issue 6 https://doi.org/10.1103/PhysRev.112.2029	journal	December 1958
Symmetries of Baryons and Mesons Gell-Mann, Murray Physical Review, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRev.125.1067	journal	February 1962
Be 7 and Li 7 nuclei within the no-core shell model with continuum Vorabbi, Matteo; Navrátil, Petr; Quaglioni, Sofia Physical Review C, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevC.100.024304	journal	August 2019
Experimental study of the low-lying negative-parity states in Be 11 using the B 12 ( d , He 3 ) Be 11 reaction Chen, J.; Auranen, K.; Avila, M. L. Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevC.100.064314	journal	December 2019
SU(3) symmetry breaking in lower fp -shell nuclei Gueorguiev, V. G.; Draayer, J. P.; Johnson, C. W. Physical Review C, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevC.63.014318	journal	December 2000
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
Quantum Monte Carlo calculations of excited states in A = 6 – 8 nuclei Pieper, Steven C.; Wiringa, R. B.; Carlson, J. Physical Review C, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevC.70.054325	journal	November 2004
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
Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces Haxton, Wick C.; Nollett, Kenneth M.; Zurek, Kathryn M. Physical Review C, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevC.72.065501	journal	December 2005
Dominant role of symplectic symmetry in ab initio no-core shell model results for light nuclei Dytrych, T.; Sviratcheva, K. D.; Bahri, C. Physical Review C, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevC.76.014315	journal	July 2007
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
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
Lifetime of the 2 1 + state in 10 C McCutchan, E. A.; Lister, C. J.; Pieper, Steven C. Physical Review C, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevC.86.014312	journal	July 2012
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
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
Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes Maris, P.; Caprio, M. A.; Vary, J. P. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.014310	journal	January 2015
Spin-orbit decomposition of ab initio nuclear wave functions Johnson, Calvin W. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034313	journal	March 2015
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians Stroberg, S. R.; Hergert, H.; Holt, J. D. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.051301	journal	May 2016
Open s d -shell nuclei from first principles Jansen, G. R.; Schuster, M. D.; Signoracci, A. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.011301	journal	July 2016
Ground-state correlations within a nonperturbative approach De Gregorio, G.; Herko, J.; Knapp, F. Physical Review C, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevC.95.024306	journal	February 2017
Erratum: Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes [Phys. Rev. C 91 , 014310 (2015)] Maris, P.; Caprio, M. A.; Vary, J. P. Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevC.99.029902	journal	February 2019
First measurement of the B ( E 2 ; 3 / 2 − → 1 / 2 − ) transition strength in Be 7 : Testing a b i n i t i o predictions for A = 7 nuclei Henderson, S. L.; Ahn, T.; Caprio, M. A. Physical Review C, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevC.99.064320	journal	June 2019
Precise Electromagnetic Tests of Ab Initio Calculations of Light Nuclei: States in Be 10 McCutchan, E. A.; Lister, C. J.; Wiringa, R. B. Physical Review Letters, Vol. 103, Issue 19 https://doi.org/10.1103/PhysRevLett.103.192501	journal	November 2009
In-Medium Similarity Renormalization Group For Nuclei Tsukiyama, K.; Bogner, S. K.; Schwenk, A. Physical Review Letters, Vol. 106, Issue 22 https://doi.org/10.1103/PhysRevLett.106.222502	journal	June 2011
Electromagnetic Transition from the 4 + to 2 + Resonance in Be 8 Measured via the Radiative Capture in He 4 + He 4 Datar, V. M.; Chakrabarty, D. R.; Kumar, Suresh Physical Review Letters, Vol. 111, Issue 6 https://doi.org/10.1103/PhysRevLett.111.062502	journal	August 2013
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
How Many-Body Correlations and α Clustering Shape He 6 Romero-Redondo, Carolina; Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 117, Issue 22 https://doi.org/10.1103/PhysRevLett.117.222501	journal	November 2016
Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? Calci, Angelo; Navrátil, Petr; Roth, Robert Physical Review Letters, Vol. 117, Issue 24 https://doi.org/10.1103/PhysRevLett.117.242501	journal	December 2016
Study of Nuclear Clustering from an Ab Initio Perspective Kravvaris, Konstantinos; Volya, Alexander Physical Review Letters, Vol. 119, Issue 6 https://doi.org/10.1103/PhysRevLett.119.062501	journal	August 2017
Nuclear Sp ( 3 , R ) Model Rosensteel, G.; Rowe, D. J. Physical Review Letters, Vol. 38, Issue 1 https://doi.org/10.1103/PhysRevLett.38.10	journal	January 1977
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
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
The Energy Levels and the Structure of Light Nuclei Inglis, D. R. Reviews of Modern Physics, Vol. 25, Issue 2 https://doi.org/10.1103/RevModPhys.25.390	journal	April 1953
Turning the nuclear energy density functional method into a proper effective field theory: reflections Furnstahl, R. J. The European Physical Journal A, Vol. 56, Issue 3 https://doi.org/10.1140/epja/s10050-020-00095-y	journal	March 2020
Fundamentals of Nuclear Models Rowe, David J.; Wood, John L. https://doi.org/10.1142/6209	book	March 2010
Nuclear Collective Motion: Models and Theory Rowe, David J. https://doi.org/10.1142/6721	book	May 2010
Collective rotation from ab initio theory Caprio, M. A.; Maris, P.; Vary, J. P. International Journal of Modern Physics E, Vol. 24, Issue 09 https://doi.org/10.1142/S0218301315410025	journal	September 2015
Alpha-Particle Model for Be ⁹ Hiura, Jun; Shimodaya, Ichiro Progress of Theoretical Physics, Vol. 30, Issue 5 https://doi.org/10.1143/PTP.30.585	journal	November 1963
Nonspherical Nuclei Rogers, J. D. Annual Review of Nuclear Science, Vol. 15, Issue 1 https://doi.org/10.1146/annurev.ns.15.120165.001325	journal	December 1965

Cited By (1)

Report from the A.I. For Nuclear Physics Workshop Bedaque, Paulo; Boehnlein, Amber; Cromaz, Mario arXiv https://doi.org/10.48550/arxiv.2006.05422	preprint	January 2020

Similar Records

Ab initio rotation in ¹⁰Be

Journal Article · Sun Dec 08 19:00:00 EST 2019 · Bulgarian Journal of Physics · OSTI ID:1603468

Collective rotation from ab initio theory

Journal Article · Sun Sep 27 20:00:00 EDT 2015 · International Journal of Modern Physics E · OSTI ID:1565383

Emergent Sp(3,$\mathbb{R}$) Dynamical Symmetry in the Nuclear Many-Body System from an Ab Initio Description

Journal Article · Wed Sep 02 20:00:00 EDT 2020 · Physical Review Letters · OSTI ID:1800837

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NCCI
NCSM
No-Core Configuration Interaction
No-Core Shell Model
collective motion
first principles nuclear theory
light nuclei

Probing ab initio emergence of nuclear rotation

Citation Formats

References (80)

Cited By (1)

Similar Records

Related Subjects