Cluster structure of light nuclei

Bijker, R.; Iachello, F.

doi:10.1016/j.ppnp.2019.103735

Title: Cluster structure of light nuclei

Journal Article · 31 December 2019 · Progress in Particle and Nuclear Physics

DOI: https://doi.org/10.1016/j.ppnp.2019.103735 · OSTI ID:1800737

Bijker, R. ^[1]; Iachello, F. ^[2]

Universidad Nacional Autónoma de México (Mexico); OSTI
Yale Univ., New Haven, CT (United States)

We review recent studies of the cluster structure of light nuclei within the framework of the algebraic cluster model (ACM) for nuclei composed of k α-particles and within the framework of the cluster shell model (CSM) for nuclei composed of k α-particles plus x additional nucleons. The calculations, based on symmetry considerations and thus for the most part given in analytic form, are compared with experiments in light cluster nuclei. The comparison shows evidence for Z₂, D_3h and T_d symmetry in the even–even nuclei ⁸Be (k = 2), ¹²C (k = 3) and ¹⁶O (k = 4), respectively, and for the associated double groups Z'₂ and D'_3h in the odd nuclei ⁹Be, ⁹B (k = 2, x = 1) and ¹³C (k = 3, x = 1), respectively.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Yale University, New Haven, CT (United States)

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

Grant/Contract Number:: FG02-91ER40608

OSTI ID:: 1800737

Journal Information:: Progress in Particle and Nuclear Physics, Journal Name: Progress in Particle and Nuclear Physics Journal Issue: C Vol. 110; ISSN 0146-6410

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (82)

The Algebraic Cluster Model: Three-Body Clusters Bijker, R.; Iachello, F. Annals of Physics, Vol. 298, Issue 2 https://doi.org/10.1006/aphy.2002.6255	journal	June 2002
Two-center molecular states in9B,9Be,10Be, and10B von Oertzen, W. Zeitschrift für Physik A Hadrons and Nuclei, Vol. 354, Issue 1 https://doi.org/10.1007/s002180050010	journal	December 1996
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
Algebraic methods for molecular rotation-vibration spectra Iachello, F. Chemical Physics Letters, Vol. 78, Issue 3 https://doi.org/10.1016/0009-2614(81)85262-1	journal	March 1981
The “cluster model” of the atomic nuclei Wildermuth, K.; Kanellopoulos, Th. Nuclear Physics, Vol. 7 https://doi.org/10.1016/0029-5582(58)90245-1	journal	June 1958
Equilibrium deformation calculations of the ground state energies of 1p shell nuclei Volkov, A. B. Nuclear Physics, Vol. 74, Issue 1 https://doi.org/10.1016/0029-5582(65)90244-0	journal	December 1965
Group theory of harmonic oscillators (III). States with permutational symmetry Kramer, P.; Moshinsky, M. Nuclear Physics, Vol. 82, Issue 2 https://doi.org/10.1016/0029-5582(66)90001-0	journal	July 1966
Microscopic approach to hadrons and nuclei using quarks Robson, D. Progress in Particle and Nuclear Physics, Vol. 8 https://doi.org/10.1016/0146-6410(82)90011-4	journal	January 1982
Elastic transfer processes in heavy ion scattering von Oertzen, W.; Bohlen, H. G. Physics Reports, Vol. 19, Issue 1 https://doi.org/10.1016/0370-1573(75)90054-X	journal	June 1975
Molecular orbitals of nucleons in nucleus-nucleus collisions Imanishi, B.; von Oertzen, W. Physics Reports, Vol. 155, Issue 2 https://doi.org/10.1016/0370-1573(87)90101-3	journal	November 1987
Investigation of the alpha-particle model for light nuclei Brink, D. M.; Friedrich, H.; Weiguny, A. Physics Letters B, Vol. 33, Issue 2 https://doi.org/10.1016/0370-2693(70)90284-4	journal	September 1970
Alpha clusters in Hartree-Fock calculations Eichler, Jörg; Faessler, Amand Nuclear Physics A, Vol. 157, Issue 1 https://doi.org/10.1016/0375-9474(70)90106-5	journal	November 1970
Elastic electron scattering from 12C and 16O Sick, I.; McCarthy, J. S. Nuclear Physics A, Vol. 150, Issue 3 https://doi.org/10.1016/0375-9474(70)90423-9	journal	July 1970
On the interaction induced by the exchange of nucleons between two identical nuclear cores von Oertzen, W. Nuclear Physics A, Vol. 148, Issue 2 https://doi.org/10.1016/0375-9474(70)90646-9	journal	June 1970
Potential landscape for fissioning nuclei Andersen, B. L.; Dickmann, Friedrich; Dietrich, Klaus Nuclear Physics A, Vol. 159, Issue 2 https://doi.org/10.1016/0375-9474(70)90712-8	journal	December 1970
The two-center shell model Scharnweber, Dieter; Greiner, Walter; Mosel, Ulrich Nuclear Physics A, Vol. 164, Issue 2 https://doi.org/10.1016/0375-9474(71)90212-0	journal	March 1971
Many-body interactions from quark exchanges and the tetrahedral crystal structure of nuclei Robson, D. Nuclear Physics A, Vol. 308, Issue 3 https://doi.org/10.1016/0375-9474(78)90558-4	journal	October 1978
Energy levels of light nuclei A = 13–15 Ajzenberg-Selove, F. Nuclear Physics A, Vol. 523, Issue 1 https://doi.org/10.1016/0375-9474(91)90446-D	journal	February 1991
Energy levels of light nuclei A = 16–17 Tilley, D. R.; Weller, H. R.; Cheves, C. M. Nuclear Physics A, Vol. 564, Issue 1 https://doi.org/10.1016/0375-9474(93)90073-7	journal	November 1993
Systematics of 2-dimensional α-cluster configurations in 4N nuclei from 12C to 44Ti Zhang, J.; Rae, W. D. M. Nuclear Physics A, Vol. 564, Issue 2 https://doi.org/10.1016/0375-9474(93)90520-8	journal	November 1993
Systematics of some 3-dimensional α-cluster configurations in 4N nuclei from 16O to 44Ti Zhang, J.; Rae, W. D. M.; Merchant, A. C. Nuclear Physics A, Vol. 575, Issue 1 https://doi.org/10.1016/0375-9474(94)90137-6	journal	July 1994
Antisymmetrized Molecular Dynamics: a new insight into the structure of nuclei Kanada-En'yo, Yoshiko; Kimura, Masaaki; Horiuchi, Hisashi Comptes Rendus Physique, Vol. 4, Issue 4-5 https://doi.org/10.1016/S1631-0705(03)00062-8	journal	May 2003
Excited state quantum phase transitions in many-body systems Caprio, M. A.; Cejnar, P.; Iachello, F. Annals of Physics, Vol. 323, Issue 5 https://doi.org/10.1016/j.aop.2007.06.011	journal	May 2008
A study of quantum phase transitions and quantum monodromy in the bending motion of non-rigid molecules Larese, Danielle; Iachello, Francesco Journal of Molecular Structure, Vol. 1006, Issue 1-3 https://doi.org/10.1016/j.molstruc.2011.10.016	journal	December 2011
Signatures of quantum phase transitions and excited state quantum phase transitions in the vibrational bending dynamics of triatomic molecules Larese, Danielle; Pérez-Bernal, Francisco; Iachello, Francesco Journal of Molecular Structure, Vol. 1051 https://doi.org/10.1016/j.molstruc.2013.08.020	journal	November 2013
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
Nuclear structure based on correlated realistic nucleon–nucleon potentials Roth, R.; Neff, T.; Hergert, H. Nuclear Physics A, Vol. 745, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2004.08.024	journal	November 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
Structure of light nuclei in Fermionic Molecular Dynamics Neff, T.; Feldmeier, H.; Roth, R. Nuclear Physics A, Vol. 752 https://doi.org/10.1016/j.nuclphysa.2005.02.092	journal	April 2005
The algebraic cluster model: Structure of 16O Bijker, R.; Iachello, F. Nuclear Physics A, Vol. 957 https://doi.org/10.1016/j.nuclphysa.2016.08.008	journal	January 2017
Single-particle levels in cluster potentials Della Rocca, V.; Bijker, R.; Iachello, F. Nuclear Physics A, Vol. 966 https://doi.org/10.1016/j.nuclphysa.2017.06.032	journal	October 2017
Energy levels of light nuclei A= 12 Kelley, J. H.; Purcell, J. E.; Sheu, C. G. Nuclear Physics A, Vol. 968 https://doi.org/10.1016/j.nuclphysa.2017.07.015	journal	December 2017
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
Hoyle state and rotational features in Carbon-12 within a no-core shell-model framework Dreyfuss, Alison C.; Launey, Kristina D.; Dytrych, Tomáš Physics Letters B, Vol. 727, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.10.048	journal	December 2013
Nuclear clusters and nuclear molecules Vonoertzen, W.; Freer, M.; Kanadaenyo, Y. Physics Reports, Vol. 432, Issue 2 https://doi.org/10.1016/j.physrep.2006.07.001	journal	September 2006
The Hoyle state in 12 C Freer, M.; Fynbo, H. O. U. Progress in Particle and Nuclear Physics, Vol. 78 https://doi.org/10.1016/j.ppnp.2014.06.001	journal	September 2014
0+ States of 8Be Barker, Fc; Hay, Hj; Treacy, Pb Australian Journal of Physics, Vol. 21, Issue 3 https://doi.org/10.1071/PH680239	journal	January 1968
2+ States of 8Be Barker, Fc Australian Journal of Physics, Vol. 22, Issue 3 https://doi.org/10.1071/PH690293	journal	January 1969
Electron scattering and nuclear structure de Forest, T.; Walecka, J. D. Advances in Physics, Vol. 15, Issue 57 https://doi.org/10.1080/00018736600101254	journal	January 1966
Alpha particle clusters and their condensation in nuclear systems Schuck, Peter; Funaki, Yasuro; Horiuchi, Hisashi Physica Scripta, Vol. 91, Issue 12 https://doi.org/10.1088/0031-8949/91/12/123001	journal	November 2016
Geometrical symmetries of nuclear systems: ${{ \mathcal D }}_{3h}$ and ${{ \mathcal T }}_{d}$ symmetries in light nuclei Bijker, Roelof Physica Scripta, Vol. 91, Issue 7 https://doi.org/10.1088/0031-8949/91/7/073005	journal	June 2016
Electromagnetic transitions in the algebraic cluster model Bijker, R.; Díaz-Caballero, O. A. Physica Scripta, Vol. 92, Issue 12 https://doi.org/10.1088/1402-4896/aa9242	journal	October 2017
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
Interpretation of Some of the Excited States of 4 n Self-Conjugate Nuclei Morinaga, H. Physical Review, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRev.101.254	journal	January 1956
α -Particle Model of O 16 Kameny, S. L. Physical Review, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRev.103.358	journal	July 1956
Inelastic Electron Scattering from Be 9 and C 12 Kunz, P. D. Physical Review, Vol. 128, Issue 3 https://doi.org/10.1103/PhysRev.128.1343	journal	November 1962
Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels Morse, Philip M. Physical Review, Vol. 34, Issue 1 https://doi.org/10.1103/PhysRev.34.57	journal	July 1929
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
The Alpha-Particle Model of the Nucleus Hafstad, L. R.; Teller, E. Physical Review, Vol. 54, Issue 9 https://doi.org/10.1103/PhysRev.54.681	journal	November 1938
Energy Levels of the O 16 Nucleus Dennison, David M. Physical Review, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRev.96.378	journal	October 1954
Inelastic electron scattering from C 13 Millener, D. J.; Sober, D. I.; Crannell, H. Physical Review C, Vol. 39, Issue 1 https://doi.org/10.1103/PhysRevC.39.14	journal	January 1989
Electron scattering from Be 9 Glickman, J. P.; Bertozzi, W.; Buti, T. N. Physical Review C, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevC.43.1740	journal	April 1991
Cluster states in nuclei as representations of a U ( ν + 1 ) group Bijker, R.; Iachello, F. Physical Review C, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevC.61.067305	journal	May 2000
Cluster structures of the ground and excited states of 12 Be studied with antisymmetrized molecular dynamics Kanada-En’yo, Y.; Horiuchi, H. Physical Review C, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevC.68.014319	journal	July 2003
Reexamination of the excited states of C 12 Freer, M.; Boztosun, I.; Bremner, C. A. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034320	journal	September 2007
Concepts of nuclear α -particle condensation Funaki, Y.; Horiuchi, H.; von Oertzen, W. Physical Review C, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevC.80.064326	journal	December 2009
Breakup of C 12 resonances into three α particles Kirsebom, O. S.; Alcorta, M.; Borge, M. J. G. Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.064313	journal	June 2010
Evidence for a new C 12 state at 13.3 MeV Freer, M.; Almaraz-Calderon, S.; Aprahamian, A. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034314	journal	March 2011
Candidate for the 2 + excited Hoyle state at E x ∼ 10 MeV in 12 C Itoh, M.; Akimune, H.; Fujiwara, M. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054308	journal	November 2011
Consistent analysis of the 2 + excitation of the 12 C Hoyle state populated in proton and α-particle inelastic scattering Freer, M.; Itoh, M.; Kawabata, T. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.034320	journal	September 2012
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
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 Roth, Robert; Langhammer, Joachim; Calci, Angelo Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072501	journal	August 2011
Structure and Rotations of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.252501	journal	December 2012
Unambiguous Identification of the Second 2 + State in C 12 and the Structure of the Hoyle State Zimmerman, W. R.; Ahmed, M. W.; Bromberger, B. Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.152502	journal	April 2013
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
Ab Initio Calculation of the Spectrum and Structure of O 16 Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.102501	journal	March 2014
Evidence for Tetrahedral Symmetry in O 16 Bijker, R.; Iachello, F. Physical Review Letters, Vol. 112, Issue 15 https://doi.org/10.1103/PhysRevLett.112.152501	journal	April 2014
Evidence for Triangular D 3 h Symmetry in C 12 Marín-Lámbarri, D. J.; Bijker, R.; Freer, M. Physical Review Letters, Vol. 113, Issue 1 https://doi.org/10.1103/PhysRevLett.113.012502	journal	June 2014
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
Structure of the Hoyle State in C 12 Chernykh, M.; Feldmeier, H.; Neff, T. Physical Review Letters, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevLett.98.032501	journal	January 2007
Molecular dynamics for fermions Feldmeier, Hans; Schnack, Jürgen Reviews of Modern Physics, Vol. 72, Issue 3 https://doi.org/10.1103/RevModPhys.72.655	journal	July 2000
Microscopic clustering in light nuclei Freer, Martin; Horiuchi, Hisashi; Kanada-En’yo, Yoshiko Reviews of Modern Physics, Vol. 90, Issue 3 https://doi.org/10.1103/RevModPhys.90.035004	journal	August 2018
The Structure of Ground and Excited States of 12C Kanada-En'yo, Y. Progress of Theoretical Physics, Vol. 117, Issue 4 https://doi.org/10.1143/PTP.117.655	journal	April 2007
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
A Molecular-Orbital Model of the Atomic Nuclei Abe, Yasuhisa; Hiura, Jun; Tanaka, Hajime Progress of Theoretical Physics, Vol. 49, Issue 3 https://doi.org/10.1143/PTP.49.800	journal	March 1973
Three-Alpha Model of 12C: Orthogonality Condition Model as an Approximation of Resonating Group Treatment Horiuchi, H. Progress of Theoretical Physics, Vol. 51, Issue 4 https://doi.org/10.1143/PTP.51.1266	journal	April 1974
Many-Cluster Problem by the Orthogonality Condition Model: General Discussion and 12C Problem Horiuchi, H. Progress of Theoretical Physics, Vol. 53, Issue 2 https://doi.org/10.1143/PTP.53.447	journal	February 1975
The Structure of 9Be Nucleus by a Molecular Model. I Okabe, S.; Abe, Y.; Tanaka, H. Progress of Theoretical Physics, Vol. 57, Issue 3 https://doi.org/10.1143/PTP.57.866	journal	March 1977
The Structure of 9Be by a Molecular Model. II Okabe, S.; Abe, Y. Progress of Theoretical Physics, Vol. 61, Issue 4 https://doi.org/10.1143/PTP.61.1049	journal	April 1979
Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics Kanada-En'yo, Yoshiko; Horiuchi, Hisashi Progress of Theoretical Physics Supplement, Vol. 142 https://doi.org/10.1143/PTPS.142.205	journal	January 2001
Chapter I. Introduction to Comprehensive Nuclear Structure Study Based on Cluster Correlations and Molecular Viewpoint Ikeda, Kiyomi; Horiuchi, Hisashi; Saito, Sakae Progress of Theoretical Physics Supplement, Vol. 68 https://doi.org/10.1143/PTPS.68.1	journal	January 1980
Chapter II. Comprehensive Study of Alpha-Nuclei Fujiwara, Yoshikazu; Horiuchi, Hisashi; Ikeda, Kiyomi Progress of Theoretical Physics Supplement, Vol. 68 https://doi.org/10.1143/PTPS.68.29	journal	January 1980

Similar Records

Cluster states in nuclei as representations of a U({nu}+1) group

Journal Article · 2000 · Physical Review. C, Nuclear Physics · OSTI ID:20216938

Bijker, R; Iachello, F

AN EMPIRICAL FORMULA FOR THE AVERAGE NUMBER OF FISSION NEUTRONS

Journal Article · 1963 · At. Energ. (USSR) · OSTI ID:4688478

Gordeeva, L D; Smirenkin, G N

Evidence for Triangular

D_{3 h}^{'}

Symmetry in

{}^{13}C

Journal Article · 2019 · Physical Review Letters · OSTI ID:1610132

Bijker, R.; Iachello, F.

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Algebraic models
Alpha-cluster nuclei
Cluster models
Physics
Symmetries

Title: Cluster structure of light nuclei

Citation Formats

References (82)

Similar Records

Related Subjects