Clustering in structure and reactions using configuration interaction techniques

Kravvaris, Konstantinos; Volya, Alexander

doi:10.1103/PhysRevC.100.034321

Title: Clustering in structure and reactions using configuration interaction techniques

Journal Article · Mon Sep 23 00:00:00 EDT 2019 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.100.034321· OSTI ID:1594020

Kravvaris, Konstantinos ^[1];

^[2]

Florida State Univ., Tallahassee, FL (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Florida State Univ., Tallahassee, FL (United States)

Atomic nuclei are remarkable quantum many-body systems where clustering properties develop naturally from underlying interactions between the constituent nucleons. Clustering degrees of freedom manifest themselves in multiple structure and reaction observables. Our goal is to study nuclear clustering and its emergence in many-nucleon dynamics from nucleon-nucleon interactions. Clustering is a phenomenon that is known to emerge on the boundary between structure and reactions, therefore developing appropriate techniques that bridge the structure-reaction divide and establishing connections to observables is among our principal objectives. Showing consistency and how the new techniques can be reduced to well established other methods is an important part of this work. Here, the configuration-interaction technique based on second quantization is used to treat the quantum many-body problem assuring that fermionic antisymmetry is fully satisfied. The use of the harmonic oscillator single-particle basis allows for the center-of-mass coordinate to be separated and prepared in a desired oscillator state for each cluster. The relative motion reaction basis channels are constructed by coupling clusters in different harmonic oscillator states with respect to their relative motion. Finally, using a resonating group method strategy we solve the generalized eigenvalue problem to obtain scattering channels. Structural clustering characteristics are discussed and the modified harmonic oscillator representation for scattering equations method is used to extract scattering observables. New methods for treating clustering problems have been put forward. We demonstrate broad applicability of the developed techniques. Examples highlight connections with algebraic techniques, and the role of approximations leading to algebraic limits is assessed using realistic examples. Various types of clustering characteristics are used to study alpha clustering in light nuclei that are relevant to currently ongoing experimental efforts. We demonstrate the emergence of strongly clustered bands of states in beryllium, triple alpha channels in ¹²C, and molecular type clustering in ²¹Ne. Starting from nucleon-nucleon interactions without any additional assumptions scattering phase shifts for alpha-alpha scattering are determined and shown to be consistent with those observed. In this work we put forward a new configuration-interaction-based method that targets the physics of clustering, and further unifies nuclear structure and reactions. We provide detailed discussions and many examples highlighting features and advantages of the approach.

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Research Organization:: Florida State Univ., Tallahassee, FL (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0009883; AC52-07NA27344

OSTI ID:: 1594020

Alternate ID(s):: OSTI ID: 1592990

Report Number(s):: LLNL-JRNL-758083; PRVCAN; TRN: US2101105

Journal Information:: Physical Review C, Vol. 100, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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References (113)

Colloquium : Status of $α$ -particle condensate structure of the Hoyle state Tohsaki, Akihiro; Horiuchi, Hisashi; Schuck, Peter Reviews of Modern Physics, Vol. 89, Issue 1 https://doi.org/10.1103/RevModPhys.89.011002	journal	January 2017
Spherical proton emitters Åberg, Sven; Semmes, Paul B.; Nazarewicz, Witold Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1762	journal	October 1997
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
$α$ -unbound levels in ${}^{34}{Ar}$ from ${}^{36}{Ar} (p, t) {}^{34}{Ar}$ reaction measurements and implications for the astrophysical ${}^{30}S (α, p) {}^{33}{Cl}$ reaction rate Long, A. M.; Adachi, T.; Beard, M. Physical Review C, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevC.97.054613	journal	May 2018
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
Simple potential model for cluster states in light nuclei Buck, B.; Dover, C. B.; Vary, J. P. Physical Review C, Vol. 11, Issue 5 https://doi.org/10.1103/PhysRevC.11.1803	journal	May 1975
Alpha Cluster Condensation in ${}^{12}C$ and ${}^{16}O$ Tohsaki, A.; Horiuchi, H.; Schuck, P. Physical Review Letters, Vol. 87, Issue 19 https://doi.org/10.1103/PhysRevLett.87.192501	journal	October 2001
Genealogische Koeffizienten für α-Teilchen Rotter, Ingrid Annalen der Physik, Vol. 471, Issue 5-6 https://doi.org/10.1002/andp.19654710507	journal	January 1965
Interaction between Clusters and Pauli Principle Saito, Sakae Progress of Theoretical Physics, Vol. 41, Issue 3 https://doi.org/10.1143/PTP.41.705	journal	March 1969
Alpha Transfer Reactions in Light Nuclei Fulbright, H. W. Annual Review of Nuclear and Particle Science, Vol. 29, Issue 1 https://doi.org/10.1146/annurev.ns.29.120179.001113	journal	December 1979
The nuclear shell model towards the drip lines Brown, B. A. Progress in Particle and Nuclear Physics, Vol. 47, Issue 2 https://doi.org/10.1016/S0146-6410(01)00159-4	journal	January 2001
Limits for the 3α branching ratio of the decay of the 7.65 MeV, $0_{2}^{+}$ state in ${}^{12}C$ Freer, M.; Wuosmaa, A. H.; Betts, R. R. Physical Review C, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevC.49.R1751	journal	April 1994
Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems Auerbach, Naftali; Zelevinsky, Vladimir Reports on Progress in Physics, Vol. 74, Issue 10 https://doi.org/10.1088/0034-4885/74/10/106301	journal	September 2011
The cluster spectroscopic factors of the clusterized nuclei and nuclei of the 2s-2d shell and the quasi-elastic knock-out processes Smirnov, Yu. F.; Tchuvil'sky, Yu. M. Czechoslovak Journal of Physics, Vol. 33, Issue 11 https://doi.org/10.1007/BF01590357	journal	November 1983
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
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
Constructing realistic alpha cluster channels Kravvaris, K.; Volya, A. Journal of Physics: Conference Series, Vol. 863 https://doi.org/10.1088/1742-6596/863/1/012016	journal	June 2017
The 7.68-Mev State in C 12 Dunbar, D. N. F.; Pixley, R. E.; Wenzel, W. A. Physical Review, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRev.92.649	journal	November 1953
Alpha spectroscopic factors for light nuclei Fliessbach, T.; Manakos, P. Journal of Physics G: Nuclear Physics, Vol. 3, Issue 5 https://doi.org/10.1088/0305-4616/3/5/012	journal	May 1977
Microscopic Theory of α-Particle Resonance Spectra Tchuvil’sky, Yury M.; Volya, Alexander Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014) https://doi.org/10.7566/JPSCP.6.030055	conference	June 2015
On the Origin of Nuclear Clustering Okołowicz, Jacek; Płoszajczak, Marek; Nazarewicz, Witold Progress of Theoretical Physics Supplement, Vol. 196 https://doi.org/10.1143/PTPS.196.230	journal	January 2012
Continuum shell model and nuclear physics at the edge of stability Volya, A.; Zelevinsky, V. Physics of Atomic Nuclei, Vol. 77, Issue 8 https://doi.org/10.1134/S1063778814070163	journal	August 2014
Alpha-transfer reactions in light nuclei. II. ( He 3 , Be 7 ) pickup reactions Pisano, D. J.; Parker, P. D. Physical Review C, Vol. 14, Issue 2 https://doi.org/10.1103/PhysRevC.14.475	journal	August 1976
Microscopic theory of cluster radioactivity Lovas, R. G.; Liotta, R. J.; Insolia, A. Physics Reports, Vol. 294, Issue 5 https://doi.org/10.1016/S0370-1573(97)00049-5	journal	February 1998
A Study of α-Widths of 20 Ne Based on 16 O and α-Cluster Model Matsuse, Takehiro; Kamimura, Masayasu Progress of Theoretical Physics, Vol. 49, Issue 5 https://doi.org/10.1143/PTP.49.1765	journal	May 1973
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
How atomic nuclei cluster Ebran, J. -P.; Khan, E.; Nikšić, T. Nature, Vol. 487, Issue 7407 https://doi.org/10.1038/nature11246	journal	July 2012
Continuum shell model Volya, Alexander; Zelevinsky, Vladimir Physical Review C, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevC.74.064314	journal	December 2006
R-matrix formulation and phase shifts for n-4He and p-4He scattering for energies up to 20 MeV Stammbach, Th.; Walter, R. L. Nuclear Physics A, Vol. 180, Issue 1 https://doi.org/10.1016/0375-9474(72)90166-2	journal	January 1972
On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. Hoyle, F. The Astrophysical Journal Supplement Series, Vol. 1 https://doi.org/10.1086/190005	journal	September 1954
Evidence for Tetrahedral Symmetry in ${}^{16}O$ Bijker, R.; Iachello, F. Physical Review Letters, Vol. 112, Issue 15 https://doi.org/10.1103/PhysRevLett.112.152501	journal	April 2014
Indirect study of the stellar ${}^{34}{Ar} (α, p) {}^{37}K$ reaction rate through ${}^{40}{Ca} (p, t) {}^{38}{Ca}$ reaction measurements Long, A. M.; Adachi, T.; Beard, M. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.055803	journal	May 2017
Cluster spectroscopic factors for the $p$ -shell nuclei Smirnov, Yu. F.; Tchuvil'sky, Yu. M. Physical Review C, Vol. 15, Issue 1 https://doi.org/10.1103/PhysRevC.15.84	journal	January 1977
Coulomb displacement energy and the low-energy astrophysical S17 factor for the 7Be(p,γ)8B reaction Brown, B. A.; Csótó, A.; Sherr, R. Nuclear Physics A, Vol. 597, Issue 1 https://doi.org/10.1016/0375-9474(95)00417-3	journal	January 1996
The Systematic Structure-Change into the Molecule-like Structures in the Self-Conjugate $4n$ Nuclei Ikeda, Kiyomi; Takigawa, Noboru; Horiuchi, Hisashi Progress of Theoretical Physics Supplement, Vol. E68 https://doi.org/10.1143/PTPS.E68.464	journal	January 1968
Quantitative properties of clustering within modern microscopic nuclear models Volya, A.; Tchuvil’sky, Yu. M. Physics of Atomic Nuclei, Vol. 79, Issue 5 https://doi.org/10.1134/S1063778816040220	journal	September 2016
Mass Defect Curve and Nuclear Constitution Gamow, G. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 126, Issue 803 https://doi.org/10.1098/rspa.1930.0032	journal	March 1930
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
α-cluster and α-binucleon states of 1p-shell nuclei Wolsky, R.; Gnilozub, I. A.; Kurgalin, S. D. Physics of Atomic Nuclei, Vol. 73, Issue 8 https://doi.org/10.1134/S1063778810080144	journal	August 2010
Molecular structures in $T = 1$ states of $^{10}$ B Kuchera, A. N.; Rogachev, G. V.; Goldberg, V. Z. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054615	journal	November 2011
Association of the C 12 + 12 C breakup states in Mg 24 with the quasimolecular resonances Curtis, N.; Clarke, N. M.; Fulton, B. R. Physical Review C, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevC.51.1554	journal	March 1995
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
Further Improvement of the Upper Limit on the Direct $3 α$ Decay from the Hoyle State in ${}^{12}C$ Itoh, M.; Ando, S.; Aoki, T. Physical Review Letters, Vol. 113, Issue 10 https://doi.org/10.1103/PhysRevLett.113.102501	journal	September 2014
Spurious center-of-mass motion Gloeckner, D. H.; Lawson, R. D. Physics Letters B, Vol. 53, Issue 4 https://doi.org/10.1016/0370-2693(74)90390-6	journal	December 1974
Evidence for a direct eight-nucleon transfer reaction and multiparticle excitation of 20Ne Marquardt, N.; Von Oertzen, W.; Walter, R. L. Physics Letters B, Vol. 35, Issue 1 https://doi.org/10.1016/0370-2693(71)90434-5	journal	April 1971
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
A PSDPF interaction to describe the 1 ℏω intruder states in sd shell nuclei Bouhelal, M.; Haas, F.; Caurier, E. Nuclear Physics A, Vol. 864, Issue 1 https://doi.org/10.1016/j.nuclphysa.2011.06.026	journal	August 2011
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
New “USD” Hamiltonians for the $sd$ shell Brown, B. Alex; Richter, W. A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.034315	journal	September 2006
Nuclear Spectroscopy, Nuclear Clustering and Exotic Shapes von Oertzen, W. Physica Scripta, Vol. T88, Issue 1 https://doi.org/10.1238/Physica.Topical.088a00083	journal	January 2000
A Unified Theory of the Nucleus Wildermuth, K.; Tang, Y. C. https://doi.org/10.1007/978-3-322-85255-7	book	January 1977
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
Dynamics of quantum systems embedded in a continuum Okołowicz, J.; Płoszajczak, M.; Rotter, I. Physics Reports, Vol. 374, Issue 4-5 https://doi.org/10.1016/S0370-1573(02)00366-6	journal	February 2003
Shell-model predictions of alpha-spectroscopic factors between ground states of 16 ⩽ A ⩽ 40 nuclei Chung, W.; van Hienen, J.; Wildenthal, B. H. Physics Letters B, Vol. 79, Issue 4-5 https://doi.org/10.1016/0370-2693(78)90387-8	journal	December 1978
Recoil corrected continuum shell model calculations for four-nucleon systems Halderson, Dean; Philpott, R. J. Nuclear Physics A, Vol. 321, Issue 2 https://doi.org/10.1016/0375-9474(79)90127-1	journal	June 1979
Nuclear clustering using a modern shell model approach Volya, Alexander; Tchuvil'sky, Yury M. Physical Review C, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevC.91.044319	journal	April 2015
Evidence for α-particle condensation in nuclei from the Hoyle state deexcitation Raduta, Ad. R.; Borderie, B.; Geraci, E. Physics Letters B, Vol. 705, Issue 1-2 https://doi.org/10.1016/j.physletb.2011.10.008	journal	November 2011
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
Alpha-clustering systematics from the quasifree ( $p, p α$ ) knockout reaction Carey, T. A.; Roos, P. G.; Chant, N. S. Physical Review C, Vol. 23, Issue 1 https://doi.org/10.1103/PhysRevC.23.576	journal	January 1981
Reduced widths for nucleon clusters in shell model Smirnov, Yu. F.; Chlebowska, D. Nuclear Physics, Vol. 26, Issue 2 https://doi.org/10.1016/0029-5582(61)90141-9	journal	August 1961
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
Alpha-particle stripping to Ne 21 Anantaraman, N.; Draayer, J. P.; Gove, H. E. Physical Review C, Vol. 18, Issue 2 https://doi.org/10.1103/PhysRevC.18.815	journal	August 1978
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
A Formulation of the Theory of Alpha-particle Decay from Time-independent Equations Thomas, R. G. Progress of Theoretical Physics, Vol. 12, Issue 3 https://doi.org/10.1143/PTP.12.253	journal	September 1954
Effects of translational invariance violation in particle-hole calculations. Application to 208Pb Palumbo, F.; Prosperi, D. Nuclear Physics A, Vol. 115, Issue 2 https://doi.org/10.1016/0375-9474(68)90005-5	journal	July 1968
Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective Dreyfuss, A. C.; Launey, K. D.; Dytrych, T. Physical Review C, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevC.95.044312	journal	April 2017
Systematic Survey of the $α - α$ Interaction Afzal, S. A.; Ahmad, A. A. Z.; Ali, S. Reviews of Modern Physics, Vol. 41, Issue 1 https://doi.org/10.1103/RevModPhys.41.247	journal	January 1969
Alpha-particle spectroscopic amplitudes and the su(3) model Ichimura, Munetake; Arima, Akito; Halbert, E. C. Nuclear Physics A, Vol. 204, Issue 2 https://doi.org/10.1016/0375-9474(73)90272-8	journal	April 1973
Study of the Alpha-Clustering Structure of 20Ne Based on the Resonating Group Method for 16O+ : Analysis of Alpha-Decay Widths and the Exchange Kernel Matsuse, T.; Kamimura, M.; Fukushima, Y. Progress of Theoretical Physics, Vol. 53, Issue 3 https://doi.org/10.1143/PTP.53.706	journal	February 1975
Evidence for a highly deformed band in O 16 + 16 O breakup of S 32 Curtis, N.; Murphy, A. St. J.; Clarke, N. M. Physical Review C, Vol. 53, Issue 4 https://doi.org/10.1103/PhysRevC.53.1804	journal	April 1996
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
Gamow Shell Model Description of Neutron-Rich Nuclei Michel, N.; Nazarewicz, W.; Płoszajczak, M. Physical Review Letters, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevLett.89.042502	journal	July 2002
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
High-Precision Probe of the Fully Sequential Decay Width of the Hoyle State in ${}^{12}C$ Dell’Aquila, D.; Lombardo, I.; Verde, G. Physical Review Letters, Vol. 119, Issue 13 https://doi.org/10.1103/PhysRevLett.119.132501	journal	September 2017
Ab initio alpha–alpha scattering Elhatisari, Serdar; Lee, Dean; Rupak, Gautam Nature, Vol. 528, Issue 7580 https://doi.org/10.1038/nature16067	journal	December 2015
Alpha-particle strengths from the 16O(6Li, d)20Ne reaction Anantaraman, N.; Gove, H. E.; Lindgren, R. A. Nuclear Physics A, Vol. 313, Issue 3 https://doi.org/10.1016/0375-9474(79)90512-8	journal	January 1979
New Measurement of the Direct $3 α$ Decay from the ${}^{12}C$ Hoyle State Smith, R.; Kokalova, Tz.; Wheldon, C. Physical Review Letters, Vol. 119, Issue 13 https://doi.org/10.1103/PhysRevLett.119.132502	journal	September 2017
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
Stripping Reactions and the Structure of Light and Intermediate Nuclei Macfarlane, M. H.; French, J. B. Reviews of Modern Physics, Vol. 32, Issue 3 https://doi.org/10.1103/RevModPhys.32.567	journal	July 1960
- Scattering at Intermediate Energies: Applicability of Orthogonality Condition Model and Upper Limit of Isoscalar Meson-Nucleon Coupling Constants Inferred from Potential Tail Tanabe, F.; Tohsaki, A.; Tamagaki, R. Progress of Theoretical Physics, Vol. 53, Issue 3 https://doi.org/10.1143/PTP.53.677	journal	February 1975
Time-dependent approach to the continuum shell model Volya, Alexander Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044308	journal	April 2009
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
Systematics of Ground-State $α$ -Particle Spectroscopic Strengths for $sd$ - and $fp$ -Shell Nuclei Anantaraman, N.; Bennett, C. L.; Draayer, J. P. Physical Review Letters, Vol. 35, Issue 17 https://doi.org/10.1103/PhysRevLett.35.1131	journal	October 1975
Determination of R-function and physical-state parameters for n-4He elastic scattering below 21 MeV Bond, J. E.; Firk, F. W. K. Nuclear Physics A, Vol. 287, Issue 2 https://doi.org/10.1016/0375-9474(77)90499-7	journal	September 1977
$α$ -cluster structure of ${}^{18}O$ Avila, M. L.; Rogachev, G. V.; Goldberg, V. Z. Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024327	journal	August 2014
Alpha-particle spectroscopic amplitudes for sd shell nuclei Draayer, J. P. Nuclear Physics A, Vol. 237, Issue 1 https://doi.org/10.1016/0375-9474(75)90470-4	journal	January 1975
High-spin spectrum of $^{24}$ Mg studied through multiparticle angular correlations Diffenderfer, E. S.; Baby, L. T.; Santiago-Gonzalez, D. Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034311	journal	March 2012
On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure Wheeler, John A. Physical Review, Vol. 52, Issue 11 https://doi.org/10.1103/PhysRev.52.1107	journal	December 1937
Algebraic model for scattering in three- $s$ -cluster systems. I. Theoretical background Vasilevsky, V.; Nesterov, A. V.; Arickx, F. Physical Review C, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevC.63.034606	journal	February 2001
Structure of ${}^{20}{Ne}$ states in resonance ${}^{16}O + α$ elastic scattering Nauruzbayev, D. K.; Goldberg, V. Z.; Nurmukhanbetova, A. K. Physical Review C, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevC.96.014322	journal	July 2017
Algebraic model for scattering in three- s -cluster systems. II. Resonances in the three-cluster continuum of 6 He and 6 Be Vasilevsky, V.; Nesterov, A. V.; Arickx, F. Physical Review C, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevC.63.034607	journal	February 2001
On absolute values of α-decay rates Fliessbach, T.; Mang, H. J. Nuclear Physics A, Vol. 263, Issue 1 https://doi.org/10.1016/0375-9474(76)90184-6	journal	May 1976
Alpha-Structure Amplitudes for the 1 p Shell Kurath, D. Physical Review C, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevC.7.1390	journal	April 1973
$α$ decay in the complex-energy shell model Betan, R. Id; Nazarewicz, W. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.034338	journal	September 2012
Structure of the Hoyle State in ${}^{12}C$ Chernykh, M.; Feldmeier, H.; Neff, T. Physical Review Letters, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevLett.98.032501	journal	January 2007
Neutron-Helium Interaction. II. Angular Distributions and Phase Shifts from 0.2 to 7.0 MeV Morgan, G. L.; Walter, R. L. Physical Review, Vol. 168, Issue 4 https://doi.org/10.1103/PhysRev.168.1114	journal	April 1968
The clustered nucleus—cluster structures in stable and unstable nuclei Freer, Martin Reports on Progress in Physics, Vol. 70, Issue 12 https://doi.org/10.1088/0034-4885/70/12/R03	journal	November 2007
Clustering aspects in nuclei and their microscopic description Wildermuth, K.; Kanellopoulos, E. J. Reports on Progress in Physics, Vol. 42, Issue 10 https://doi.org/10.1088/0034-4885/42/10/003	journal	October 1979
Alpha-transfer reactions in light nuclei. III. ( ${}^{7}{Li}, t$ ) stripping reaction Cobern, M. E.; Pisano, D. J.; Parker, P. D. Physical Review C, Vol. 14, Issue 2 https://doi.org/10.1103/PhysRevC.14.491	journal	August 1976
Alpha-Cluster plus 16 O-Core Model for 20 Ne and Neighboring Nuclei Hiura, Jun; Abe, Yasuhisa; Sait\=o, Sakae Progress of Theoretical Physics, Vol. 42, Issue 3 https://doi.org/10.1143/PTP.42.555	journal	September 1969
Neutron-Helium Interaction. II. Angular Distributions and Phase Shifts from 0.2 to 7.0 MeV Morgan, G. L.; Walter, R. L. Physical Review C, Vol. 2, Issue 5 https://doi.org/10.1103/physrevc.2.2034	journal	November 1970
Continuum Shell Model and Nuclear Physics at the Edge of Stability Volya, A.; Zelevinsky, V. Ядерная физика, Vol. 77, Issue 08 https://doi.org/10.7868/s0044002714070186	journal	January 2014
How atomic nuclei cluster? Ebran, J. -P.; Khan, E.; Nikšić, T. NUCLEAR STRUCTURE AND DYNAMICS 2012, AIP Conference Proceedings https://doi.org/10.1063/1.4764191	conference	January 2012
Ab initio many-body calculations of nucleon-nucleus scattering Quaglioni, Sofia; Navratil, Petr arXiv https://doi.org/10.48550/arxiv.0901.0950	text	January 2009
Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems Auerbach, Naftali; Zelevinsky, Vladimir arXiv https://doi.org/10.48550/arxiv.1104.5462	text	January 2011
Antisymmetrized molecular dynamics and its applications to cluster phenomena Kanada-En'yo, Yoshiko; Kimura, Masaaki; Ono, Akira arXiv https://doi.org/10.48550/arxiv.1202.1864	preprint	January 2012
Shell Model States in the Continuum Shirokov, A. M.; Mazur, A. I.; Mazur, I. A. arXiv https://doi.org/10.48550/arxiv.1608.05885	text	January 2016
Symmetry-guided large-scale shell-model theory Launey, Kristina D.; Dytrych, Tomas; Draayer, Jerry P. arXiv https://doi.org/10.48550/arxiv.1612.04298	text	January 2016
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. arXiv https://doi.org/10.48550/arxiv.math-ph/9910007	text	January 1999
Gamow Shell Model Description of Neutron-Rich Nuclei Michel, N.; Nazarewicz, W.; Ploszajczak, M. arXiv https://doi.org/10.48550/arxiv.nucl-th/0201073	text	January 2002
The algebraic cluster model. Three-body clusters Bijker, R.; Iachello, F. arXiv https://doi.org/10.48550/arxiv.nucl-th/0203072	text	January 2002
Continuum Shell Model Volya, Alexander; Zelevinsky, Vladimir arXiv https://doi.org/10.48550/arxiv.nucl-th/0509051	text	January 2005

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