From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions

Afanasjev, A. V.; Abusara, H.

doi:10.1103/PhysRevC.97.024329

Title: From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions

Journal Article · Fri Feb 23 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.024329· OSTI ID:1459443

Afanasjev, A. V. ^[1]; Abusara, H. ^[2]

Mississippi State Univ., Mississippi State, MS (United States). Department of Physics and Astronomy
Birzeit University (Palestine). Department of Physics

In this study, the nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of non-rotating and rotating N ~ Z nuclei has been investigated in detail. The single-particle states with the Nilsson quantum numbers of the [NN0]1/2 (with N from 0 to 5) and [N,N – 1,1]Ω (with N from 1 to 3 and Ω = 1/2, 3/2) types are considered. These states are building blocks of extremely deformed shapes in the nuclei with mass numbers A ≤ 50. Because of (near) axial symmetry and large elongation of such structures, the wave functions of the single-particle states occupied are dominated by a single basis state in cylindrical basis. This basis state defines the nodal structure of the single-particle density distribution. The nodal structure of the single-particle density distributions allows us to understand in a relatively simple way the necessary conditions for α clusterization and the suppression of the α clusterization with the increase of mass number. It also explains in a natural way the coexistence of ellipsoidal mean-field-type structures and nuclear molecules at similar excitation energies and the features of particle-hole excitations connecting these two types of the structures. Lastly, our analysis of the nodal structure of the single-particle density distributions does not support the existence of quantum liquid phase for the deformations and nuclei under study.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Mississippi State Univ., Mississippi State, MS (United States)

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

Grant/Contract Number:: SC0013037

OSTI ID:: 1459443

Alternate ID(s):: OSTI ID: 1422439

Journal Information:: Physical Review C, Vol. 97, Issue 2; Related Information: http://link.aps.org/supplemental/10.1103/PhysRevC.97.024329; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 9 works

Citation information provided by
Web of Science

References (62)

Hyperdeformation in the cranked relativistic mean field theory: The $Z = 40 − 58$ region of the nuclear chart Afanasjev, A. V.; Abusara, H. Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014315	journal	July 2008
Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure Vretenar, D.; Afanasjev, A.; Lalazissis, G. Physics Reports, Vol. 409, Issue 3-4 https://doi.org/10.1016/j.physrep.2004.10.001	journal	April 2005
Gross shell structure at high spin in heavy nuclei Deleplanque, M. A.; Frauendorf, S.; Pashkevich, V. V. Physical Review C, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevC.69.044309	journal	April 2004
Density functional theory studies of cluster states in nuclei Ebran, J. -P.; Khan, E.; Nikšić, T. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054329	journal	November 2014
A mean field view of some clustering phenomena in light and heavy nuclei Egido, J. L.; Robledo, L. M. Nuclear Physics A, Vol. 738 https://doi.org/10.1016/j.nuclphysa.2004.04.008	journal	June 2004
Clustering aspects of nuclei with octupole and superdeformation �berg, Sven; J�nsson, Lars-Ove Zeitschrift f�r Physik A: Hadrons and Nuclei, Vol. 349, Issue 3-4 https://doi.org/10.1007/BF01288960	journal	September 1994
From superdeformation to extreme deformation and clusterization in the $N \approx Z$ nuclei of the $A \approx 40$ mass region Ray, D.; Afanasjev, A. V. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.014310	journal	July 2016
Superdeformed bands in $^{32} S$ and neighboring nuclei predicted within the Hartree-Fock method Molique, H.; Dobaczewski, J.; Dudek, J. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044304	journal	February 2000
Triaxial superdeformation in ${}^{40}{Ar}$ Taniguchi, Yasutaka; Kanada-En’yo, Yoshiko; Kimura, Masaaki Physical Review C, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevC.82.011302	journal	July 2010
Rod-shaped Nuclei at Extreme Spin and Isospin Zhao, P. W.; Itagaki, N.; Meng, J. Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.022501	journal	July 2015
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
Quantum mechanics in rotating frames. II. The lattice structure of current circulations for a rotating single-particle fluid Gulshani, P.; Rowe, D. J. Canadian Journal of Physics, Vol. 56, Issue 4 https://doi.org/10.1139/p78-061	journal	April 1978
Localization and clustering in the nuclear Fermi liquid Ebran, J. -P.; Khan, E.; Nikšić, T. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.044307	journal	April 2013
Nuclear fusion in dense matter: Reaction rate and carbon burning Gasques, L. R.; Afanasjev, A. V.; Aguilera, E. F. Physical Review C, Vol. 72, Issue 2 https://doi.org/10.1103/PhysRevC.72.025806	journal	August 2005
High spin structures in the A ≈ 40 mass region: from superdeformation to extreme deformation and clusterization (an example of ²⁸ Si) Afanasjev, A. V.; Ray, D. Journal of Physics: Conference Series, Vol. 863 https://doi.org/10.1088/1742-6596/863/1/012052	journal	June 2017
The effective force NL3 revisited Lalazissis, G. A.; Karatzikos, S.; Fossion, R. Physics Letters B, Vol. 671, Issue 1 https://doi.org/10.1016/j.physletb.2008.11.070	journal	January 2009
Why are nuclei described by independent particle motion ? Mottelson, B. R. Nuclear Physics A, Vol. 649, Issue 1-4 https://doi.org/10.1016/S0375-9474(99)00037-8	journal	March 1999
Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties Agbemava, S. E.; Afanasjev, A. V.; Ray, D. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054320	journal	May 2014
Identical bands in superdeformed nuclei: A relativistic description König, J.; Ring, P. Physical Review Letters, Vol. 71, Issue 19 https://doi.org/10.1103/PhysRevLett.71.3079	journal	November 1993
Time-odd mean fields in covariant density functional theory: Rotating systems Afanasjev, A. V.; Abusara, H. Physical Review C, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevC.82.034329	journal	September 2010
Time-odd mean fields in covariant density functional theory: Nonrotating systems Afanasjev, A. V.; Abusara, H. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.014309	journal	January 2010
${}^{16}O + {}^{16}O$ molecular nature of the superdeformed band of ${}^{32}S$ and the evolution of the molecular structure Kimura, Masaaki; Horiuchi, Hisashi Physical Review C, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevC.69.051304	journal	May 2004
Nucleon localization and fragment formation in nuclear fission Zhang, C. L.; Schuetrumpf, B.; Nazarewicz, W. Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevC.94.064323	journal	December 2016
Anatomy of molecular structures in 20 Ne Zhou, E. F.; Yao, J. M.; Li, Z. P. Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.12.028	journal	February 2016
Searching for a $4 α$ linear-chain structure in excited states of ${}^{16}O$ with covariant density functional theory Yao, J. M.; Itagaki, N.; Meng, J. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054307	journal	November 2014
${}^{16}O + {}^{16}O$ molecular structures of positive- and negative-parity superdeformed bands in ${}^{34}S$ Taniguchi, Yasutaka Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054308	journal	November 2014
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
Examination of the stability of a rod-shaped structure in ${}^{24}{Mg}$ Iwata, Yoritaka; Ichikawa, Takatoshi; Itagaki, Naoyuki Physical Review C, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevC.92.011303	journal	July 2015
Covariant energy density functionals: Nuclear matter constraints and global ground state properties Afanasjev, A. V.; Agbemava, S. E. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.054310	journal	May 2016
Superdeformation in the Doubly Magic Nucleus ${}_{20}^{40}C a_{20}$ Ideguchi, E.; Sarantites, D. G.; Reviol, W. Physical Review Letters, Vol. 87, Issue 22 https://doi.org/10.1103/PhysRevLett.87.222501	journal	November 2001
A simple measure of electron localization in atomic and molecular systems Becke, A. D.; Edgecombe, K. E. The Journal of Chemical Physics, Vol. 92, Issue 9 https://doi.org/10.1063/1.458517	journal	May 1990
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
Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region Afanasjev, A. V.; Ring, P.; König, J. Nuclear Physics A, Vol. 676, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00187-1	journal	August 2000
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
Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model Geng, L.; Toki, H.; Meng, J. Progress of Theoretical Physics, Vol. 113, Issue 4 https://doi.org/10.1143/PTP.113.785	journal	April 2005
Description of rotating $N = Z$ nuclei in terms of isovector pairing Afanasjev, A. V.; Frauendorf, S. Physical Review C, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevC.71.064318	journal	June 2005
Breaking of $N = 8$ magicity in $^{13}$ Be Kanada-En'yo, Yoshiko Physical Review C, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevC.85.044320	journal	April 2012
Localization and clustering in atomic nuclei Ebran, J-P; Khan, E.; Nikšić, T. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10 https://doi.org/10.1088/1361-6471/aa809b	journal	August 2017
Hyperdeformed and megadeformed nuclei: Lessons from the slow progress and emerging new strategies Dudek, J.; Pomorski, K.; Schunck, N. The European Physical Journal A, Vol. 20, Issue 1 https://doi.org/10.1140/epja/i2002-10313-4	journal	April 2003
Relationship between the deformed harmonic oscillator and clustering in light nuclei Freer, M.; Betts, R. R.; Wuosmaa, A. H. Nuclear Physics A, Vol. 587, Issue 1 https://doi.org/10.1016/0375-9474(94)00820-D	journal	May 1995
α-cluster structure and exotic states in a self-consistent model for light nuclei Maruhn, J. A.; Kimura, Masaaki; Schramm, S. Physical Review C, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevC.74.044311	journal	October 2006
Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei Kimura, M.; Suhara, T.; Kanada-En’yo, Y. The European Physical Journal A, Vol. 52, Issue 12 https://doi.org/10.1140/epja/i2016-16373-9	journal	December 2016
A relativistic description of rotating nuclei: The yrast line of 20Ne Koepf, W.; Ring, P. Nuclear Physics A, Vol. 493, Issue 1 https://doi.org/10.1016/0375-9474(89)90532-0	journal	February 1989
Localization in light nuclei Reinhard, P. -G.; Maruhn, J. A.; Umar, A. S. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034312	journal	March 2011
Linear Chain Structure of Four- $α$ Clusters in ${}^{16}O$ Ichikawa, T.; Maruhn, J. A.; Itagaki, N. Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.112501	journal	September 2011
Relativistic mean field theory for finite nuclei Gambhir, Y. K.; Ring, P.; Thimet, A. Annals of Physics, Vol. 198, Issue 1 https://doi.org/10.1016/0003-4916(90)90330-Q	journal	February 1990
Superdeformed rotational bands in the A ∼ 140–150 mass region: A cranked relativistic mean field description Afanasjev, A. V.; König, J.; Ring, P. Nuclear Physics A, Vol. 608, Issue 2 https://doi.org/10.1016/0375-9474(96)00272-2	journal	October 1996
Alpha clustering in nuclei: another form of shape coexistence? Jenkins, David Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2 https://doi.org/10.1088/0954-3899/43/2/024003	journal	January 2016
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
Comparative study of superdeformed and highly deformed bands in the $A \sim 60$ mass region Afanasjev, A. V.; Ragnarsson, I.; Ring, P. Physical Review C, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevC.59.3166	journal	June 1999
Quantum Liquids Leggett, A. J. Science, Vol. 319, Issue 5867 https://doi.org/10.1126/science.1152822	journal	February 2008
Anatomy of molecular structures in 20 Ne The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/nhw2-qe20	text	January 2016
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
Time-odd mean fields in covariant density functional theory I. Non-rotating systems Afanasjev, A. V.; Abusara, H. arXiv https://doi.org/10.48550/arxiv.0905.2445	text	January 2009
The effective force NL3 revisited Lalazissis, G. A.; Karatzikos, S.; Fossion, R. arXiv https://doi.org/10.48550/arxiv.0909.1432	text	January 2009
Localization in light nuclei Reinhard, P. -G.; Maruhn, J. A.; Umar, A. S. arXiv https://doi.org/10.48550/arxiv.1011.0224	text	January 2010
Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties Agbemava, S. E.; Afanasjev, A. V.; Ray, D. arXiv https://doi.org/10.48550/arxiv.1404.4901	text	January 2014
Density Functional Theory studies of cluster states in nuclei Ebran, J. P.; Khan, E.; Niksic, T. arXiv https://doi.org/10.48550/arxiv.1406.2473	text	January 2014
Rod-shaped Nuclei at Extreme Spin and Isospin Zhao, P. W.; Itagaki, N.; Meng, J. arXiv https://doi.org/10.48550/arxiv.1410.3986	text	January 2014
Covariant energy density functionals: nuclear matter constraints and global ground state properties Afanasjev, A. V.; Agbemava, S. E. arXiv https://doi.org/10.48550/arxiv.1604.07296	text	January 2016
Nucleon localization and fragment formation in nuclear fission Zhang, C. L.; Schuetrumpf, B.; Nazarewicz, W. arXiv https://doi.org/10.48550/arxiv.1607.00422	text	January 2016
Gross shell structure at high spin in heavy nuclei Deleplanque, M. A.; Frauendorf, S.; Pashkevich, V. V. arXiv https://doi.org/10.48550/arxiv.nucl-th/0311073	text	January 2003

Cited By (1)

Cluster structures, ellipsoidal shapes and nuclear molecules in light A = 12-50 nuclei Afanasjev, A. V. EPJ Web of Conferences, Vol. 194 https://doi.org/10.1051/epjconf/201819406001	journal	January 2018

Similar Records

Octupole deformation in neutron-rich actinides and superheavy nuclei and the role of nodal structure of single-particle wavefunctions in extremely deformed structures of light nuclei

Journal Article · Tue Feb 06 00:00:00 EST 2018 · Physica Scripta · OSTI ID:1459443

Afanasjev, A. V.; Abusara, H.; Agbemava, S. E.

Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: The ground state and fission properties

Journal Article · Mon Nov 30 00:00:00 EST 2020 · Physical Review. C · OSTI ID:1459443

Taninah, A.; Agbemava, S. E.; Afanasjev, A. V.

Rotational excitations in rare-earth nuclei: A comparative study within three cranking models with different mean fields and treatments of pairing correlations

Journal Article · Fri May 01 00:00:00 EDT 2020 · Physical Review. C · OSTI ID:1459443

Zhang, Zhen-Hua; Huang, Miao; Afanasjev, Anatoli V.

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Title: From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions

Citation Formats

References (62)

Cited By (1)

Linked Research (1)

Similar Records

Related Subjects