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

Abstract

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 analysismore »« less

Authors:

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

Publication Date:: Fri Feb 23 00:00:00 EST 2018

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

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

OSTI Identifier:: 1459443

Alternate Identifier(s):: OSTI ID: 1422439

Grant/Contract Number:: SC0013037

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 97; Journal Issue: 2; Related Information: http://link.aps.org/supplemental/10.1103/PhysRevC.97.024329; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Afanasjev, A. V., and Abusara, H. From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.97.024329.

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                    Afanasjev, A. V., & Abusara, H. From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions.  United States.  https://doi.org/10.1103/PhysRevC.97.024329

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                    Afanasjev, A. V., and Abusara, H. Fri .  
"From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions".  United States.  https://doi.org/10.1103/PhysRevC.97.024329.  https://www.osti.gov/servlets/purl/1459443.

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@article{osti_1459443,

  title        = {From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions},

  author       = {Afanasjev, A. V. and Abusara, H.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevC.97.024329},

  journal      = {Physical Review C},

  number       = 2,

  volume       = 97,

  place        = {United States},

  year         = {Fri Feb 23 00:00:00 EST 2018},

  month        = {Fri Feb 23 00:00:00 EST 2018}

}

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

Abstract

Citation Formats

Hyperdeformation in the cranked relativistic mean field theory: The Z = 40 − 58 region of the nuclear chart journal, July 2008

Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure journal, April 2005

Gross shell structure at high spin in heavy nuclei journal, April 2004

Density functional theory studies of cluster states in nuclei journal, November 2014

A mean field view of some clustering phenomena in light and heavy nuclei journal, June 2004

Clustering aspects of nuclei with octupole and superdeformation journal, September 1994

From superdeformation to extreme deformation and clusterization in the N ≈ Z nuclei of the A ≈ 40 mass region journal, July 2016

Superdeformed bands in 32 S and neighboring nuclei predicted within the Hartree-Fock method journal, February 2000

Triaxial superdeformation in Ar 40 journal, July 2010

Rod-shaped Nuclei at Extreme Spin and Isospin journal, July 2015

Interpretation of Some of the Excited States of 4 n Self-Conjugate Nuclei journal, January 1956

Quantum mechanics in rotating frames. II. The lattice structure of current circulations for a rotating single-particle fluid journal, April 1978

Localization and clustering in the nuclear Fermi liquid journal, April 2013

Nuclear fusion in dense matter: Reaction rate and carbon burning journal, August 2005

High spin structures in the A ≈ 40 mass region: from superdeformation to extreme deformation and clusterization (an example of 28 Si) journal, June 2017

The effective force NL3 revisited journal, January 2009

Why are nuclei described by independent particle motion ? journal, March 1999

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Identical bands in superdeformed nuclei: A relativistic description journal, November 1993

Time-odd mean fields in covariant density functional theory: Rotating systems journal, September 2010

Time-odd mean fields in covariant density functional theory: Nonrotating systems journal, January 2010

O 16 + O 16 molecular nature of the superdeformed band of S 32 and the evolution of the molecular structure journal, May 2004

Nucleon localization and fragment formation in nuclear fission journal, December 2016

Anatomy of molecular structures in 20 Ne journal, February 2016

Searching for a 4 α linear-chain structure in excited states of O 16 with covariant density functional theory journal, November 2014

O 16 + O 16 molecular structures of positive- and negative-parity superdeformed bands in S 34 journal, November 2014

How atomic nuclei cluster journal, July 2012

Examination of the stability of a rod-shaped structure in Mg 24 journal, July 2015

Covariant energy density functionals: Nuclear matter constraints and global ground state properties journal, May 2016

Superdeformation in the Doubly Magic Nucleus C 20 40 a 20 journal, November 2001

A simple measure of electron localization in atomic and molecular systems journal, May 1990

Nuclear clusters and nuclear molecules journal, September 2006

Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region journal, August 2000

On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. journal, September 1954

Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model journal, April 2005

Description of rotating N = Z nuclei in terms of isovector pairing journal, June 2005

Breaking of N = 8 magicity in 13 Be journal, April 2012

Localization and clustering in atomic nuclei journal, August 2017

Hyperdeformed and megadeformed nuclei: Lessons from the slow progress and emerging new strategies journal, April 2003

Relationship between the deformed harmonic oscillator and clustering in light nuclei journal, May 1995

α-cluster structure and exotic states in a self-consistent model for light nuclei journal, October 2006

Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei journal, December 2016

A relativistic description of rotating nuclei: The yrast line of 20Ne journal, February 1989

Localization in light nuclei journal, March 2011

Linear Chain Structure of Four- α Clusters in O 16 journal, September 2011

Relativistic mean field theory for finite nuclei journal, February 1990

Superdeformed rotational bands in the A ∼ 140–150 mass region: A cranked relativistic mean field description journal, October 1996

Alpha clustering in nuclei: another form of shape coexistence? journal, January 2016

Structure and Rotations of the Hoyle State journal, December 2012

Comparative study of superdeformed and highly deformed bands in the A ∼ 60 mass region journal, June 1999

Quantum Liquids journal, February 2008

Anatomy of molecular structures in 20 Ne text, January 2016

How atomic nuclei cluster? conference, January 2012

Time-odd mean fields in covariant density functional theory I. Non-rotating systems text, January 2009

The effective force NL3 revisited text, January 2009

Localization in light nuclei text, January 2010

Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties text, January 2014

Density Functional Theory studies of cluster states in nuclei text, January 2014

Rod-shaped Nuclei at Extreme Spin and Isospin text, January 2014

Covariant energy density functionals: nuclear matter constraints and global ground state properties text, January 2016

Nucleon localization and fragment formation in nuclear fission text, January 2016

Gross shell structure at high spin in heavy nuclei text, January 2003

Cluster structures, ellipsoidal shapes and nuclear molecules in light A = 12-50 nuclei journal, January 2018

Hyperdeformation in the cranked relativistic mean field theory: The $Z = 40 − 58$ region of the nuclear chart
journal, July 2008

Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure
journal, April 2005

Gross shell structure at high spin in heavy nuclei
journal, April 2004

Density functional theory studies of cluster states in nuclei
journal, November 2014

A mean field view of some clustering phenomena in light and heavy nuclei
journal, June 2004

Clustering aspects of nuclei with octupole and superdeformation
journal, September 1994

From superdeformation to extreme deformation and clusterization in the $N \approx Z$ nuclei of the $A \approx 40$ mass region
journal, July 2016

Superdeformed bands in $^{32} S$ and neighboring nuclei predicted within the Hartree-Fock method
journal, February 2000

Triaxial superdeformation in ${}^{40}{Ar}$
journal, July 2010

Rod-shaped Nuclei at Extreme Spin and Isospin
journal, July 2015

Interpretation of Some of the Excited States of $4 n$ Self-Conjugate Nuclei
journal, January 1956

Quantum mechanics in rotating frames. II. The lattice structure of current circulations for a rotating single-particle fluid
journal, April 1978

Localization and clustering in the nuclear Fermi liquid
journal, April 2013

Nuclear fusion in dense matter: Reaction rate and carbon burning
journal, August 2005

High spin structures in the A ≈ 40 mass region: from superdeformation to extreme deformation and clusterization (an example of ²⁸ Si)
journal, June 2017

The effective force NL3 revisited
journal, January 2009

Why are nuclei described by independent particle motion ?
journal, March 1999

Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties
journal, May 2014

Identical bands in superdeformed nuclei: A relativistic description
journal, November 1993

Time-odd mean fields in covariant density functional theory: Rotating systems
journal, September 2010

Time-odd mean fields in covariant density functional theory: Nonrotating systems
journal, January 2010

${}^{16}O + {}^{16}O$ molecular nature of the superdeformed band of ${}^{32}S$ and the evolution of the molecular structure
journal, May 2004

Nucleon localization and fragment formation in nuclear fission
journal, December 2016

Anatomy of molecular structures in 20 Ne
journal, February 2016

Searching for a $4 α$ linear-chain structure in excited states of ${}^{16}O$ with covariant density functional theory
journal, November 2014

${}^{16}O + {}^{16}O$ molecular structures of positive- and negative-parity superdeformed bands in ${}^{34}S$
journal, November 2014

How atomic nuclei cluster
journal, July 2012

Examination of the stability of a rod-shaped structure in ${}^{24}{Mg}$
journal, July 2015

Covariant energy density functionals: Nuclear matter constraints and global ground state properties
journal, May 2016

Superdeformation in the Doubly Magic Nucleus ${}_{20}^{40}C a_{20}$
journal, November 2001

A simple measure of electron localization in atomic and molecular systems
journal, May 1990

Nuclear clusters and nuclear molecules
journal, September 2006

Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region
journal, August 2000

On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel.
journal, September 1954

Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
journal, April 2005

Description of rotating $N = Z$ nuclei in terms of isovector pairing
journal, June 2005

Breaking of $N = 8$ magicity in $^{13}$ Be
journal, April 2012

Localization and clustering in atomic nuclei
journal, August 2017

Hyperdeformed and megadeformed nuclei: Lessons from the slow progress and emerging new strategies
journal, April 2003

Relationship between the deformed harmonic oscillator and clustering in light nuclei
journal, May 1995

α-cluster structure and exotic states in a self-consistent model for light nuclei
journal, October 2006

Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
journal, December 2016

A relativistic description of rotating nuclei: The yrast line of 20Ne
journal, February 1989

Localization in light nuclei
journal, March 2011

Linear Chain Structure of Four- $α$ Clusters in ${}^{16}O$
journal, September 2011

Relativistic mean field theory for finite nuclei
journal, February 1990

Superdeformed rotational bands in the A ∼ 140–150 mass region: A cranked relativistic mean field description
journal, October 1996

Alpha clustering in nuclei: another form of shape coexistence?
journal, January 2016

Structure and Rotations of the Hoyle State
journal, December 2012

Comparative study of superdeformed and highly deformed bands in the $A \sim 60$ mass region
journal, June 1999

Quantum Liquids
journal, February 2008

Anatomy of molecular structures in 20 Ne
text, January 2016

How atomic nuclei cluster?
conference, January 2012

Time-odd mean fields in covariant density functional theory I. Non-rotating systems
text, January 2009

The effective force NL3 revisited
text, January 2009

Localization in light nuclei
text, January 2010

Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
text, January 2014

Density Functional Theory studies of cluster states in nuclei
text, January 2014

Rod-shaped Nuclei at Extreme Spin and Isospin
text, January 2014

Covariant energy density functionals: nuclear matter constraints and global ground state properties
text, January 2016

Nucleon localization and fragment formation in nuclear fission
text, January 2016

Gross shell structure at high spin in heavy nuclei
text, January 2003

Cluster structures, ellipsoidal shapes and nuclear molecules in light A = 12-50 nuclei
journal, January 2018