Possibility of 14C cluster as a building block of medium-mass nuclei

Itagaki, N.; Afanasjev, A. V.; Ray, D.

doi:10.1103/physrevc.101.034304

Title: Possibility of ¹⁴C cluster as a building block of medium-mass nuclei

Abstract

The possibility of the ¹⁴C cluster being a basic building block of medium-mass nuclei is discussed. Although α cluster structures have been widely discussed in the light N ≈ Z mass region, the neutron-to-proton ratio deviates from unity in the nuclei near β-stability line and in neutron-rich nuclei. Thus, more neutron-rich objects with N > Z could become the building blocks of cluster structures in such nuclei. The ¹⁴C nucleus is strongly bound and can be regarded as such a candidate. In addition, the path to the lowest shell-model configuration at short relative distances is closed for the ¹⁴C+ ¹⁴C structure, contrary to the case of the ¹²C+ ¹²C structure; this allows an appreciable separation distance between the ¹⁴C clusters. The recent development of the antisymmetrized quasicluster model (AQCM) allows us to utilize a j j-coupling shell-model wave function for each cluster in a simplified way. The AQCM results for the ¹⁴C+ ¹⁴C structure in ²⁸Mg are compared with the ones of cranked relativistic mean field (CRMF) calculations. Although theoretical frameworks of these two models are quite different, they give similar results for the nucleonic densities and rotational properties of the structure under investigation. The existence of a linear chainmore »« less

Authors:

Itagaki, N. ^[1]; Afanasjev, A. V. ^[2]; Ray, D. ^[3]

Kyoto University (Japan)
Kyoto University (Japan); Mississippi State University, Mississippi State, MS (United States)
Mississippi State University, Mississippi State, MS (United States)

Publication Date:: 2020-03-12

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

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

OSTI Identifier:: 1669902

Alternate Identifier(s):: OSTI ID: 1604492

Grant/Contract Number:: SC0013037

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Cluster models; Nucleon distribution; Rare & new isotopes; 20 ≤ A ≤ 38; 6 ≤ A ≤ 19

Citation Formats


                    Itagaki, N., Afanasjev, A. V., and Ray, D.. Possibility of 14C cluster as a building block of medium-mass nuclei.  United States: N. p., 2020. 
Web.  doi:10.1103/physrevc.101.034304.

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                    Itagaki, N., Afanasjev, A. V., & Ray, D.. Possibility of 14C cluster as a building block of medium-mass nuclei.  United States.  https://doi.org/10.1103/physrevc.101.034304

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                    Itagaki, N., Afanasjev, A. V., and Ray, D.. Thu .  
"Possibility of 14C cluster as a building block of medium-mass nuclei".  United States.  https://doi.org/10.1103/physrevc.101.034304.  https://www.osti.gov/servlets/purl/1669902.

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@article{osti_1669902,

  title        = {Possibility of 14C cluster as a building block of medium-mass nuclei},

  author       = {Itagaki, N. and Afanasjev, A. V. and Ray, D.},

  abstractNote = {The possibility of the 14C cluster being a basic building block of medium-mass nuclei is discussed. Although α cluster structures have been widely discussed in the light N ≈ Z mass region, the neutron-to-proton ratio deviates from unity in the nuclei near β-stability line and in neutron-rich nuclei. Thus, more neutron-rich objects with N > Z could become the building blocks of cluster structures in such nuclei. The 14C nucleus is strongly bound and can be regarded as such a candidate. In addition, the path to the lowest shell-model configuration at short relative distances is closed for the 14C+ 14C structure, contrary to the case of the 12C+ 12C structure; this allows an appreciable separation distance between the 14C clusters. The recent development of the antisymmetrized quasicluster model (AQCM) allows us to utilize a j j-coupling shell-model wave function for each cluster in a simplified way. The AQCM results for the 14C+ 14C structure in 28Mg are compared with the ones of cranked relativistic mean field (CRMF) calculations. Although theoretical frameworks of these two models are quite different, they give similar results for the nucleonic densities and rotational properties of the structure under investigation. The existence of a linear chain three-14C cluster structure in 42Ar has also been predicted in AQCM. Furthermore, these results confirm the role of the 14C cluster as a possible building block of cluster structures in medium-mass nuclei.},

  doi          = {10.1103/physrevc.101.034304},

  journal      = {Physical Review C},

  number       = 3,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Title: Possibility of 14C cluster as a building block of medium-mass nuclei

Abstract

Citation Formats

Properties of the predicted superdeformed band in 32 S journal, October 2000

Proton and neutron density distributions for A=16-58 nuclei journal, December 1979

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

Linear-chain structure of three α-clusters in 16C and 20C journal, February 2010

Chapter II. Comprehensive Study of Alpha-Nuclei journal, January 1980

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

Evidence for 16 O + 16 O cluster bands in 32 S journal, August 2002

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

Multiconfiguration microscopic study of α+ 14 C molecular states journal, June 1985

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

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

Simplified method to include the tensor contribution in α-cluster model journal, March 2006

Effects of cluster–shell competition and BCS-like pairing in 12C journal, December 2017

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

Charge Form Factor and Sum Rules of Electromagnetic Response Functions in C 12 journal, August 2013

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

Study of $$^{14}\hbox {C}$$ 14 C Cluster Decay Half-Lives of Heavy Deformed Nuclei journal, December 2017

Simplified modeling of cluster-shell competition in Ne 20 and Mg 24 journal, January 2011

Structure Study of T = 0 States in 16O by 12C + Cluster-Coupling Model. I journal, June 1976

From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions journal, February 2018

Relativistic mean field study of clustering in light nuclei journal, June 2005

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

General transformation of α cluster model wave function to jj-coupling shell model in various 4N nuclei journal, September 2016

Carbon radioactivity of 223 Ac and a search for nitrogen emission journal, May 2008

Microscopic -Cluster Model for 12C and 16O Based on Antisymmetrized Molecular Dynamics: Consistent Understanding of the Binding Energies of 12C and 16O journal, December 1995

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New effective internucleon forces in microscopic α-cluster model journal, April 1994

Consistent description of C 12 and O 16 using a finite-range three-body interaction journal, December 2016

Candidate superdeformed band in 28 Si journal, December 2012

Cluster-shell competition in light nuclei journal, November 2004

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

Appearance of cluster states in C 13 journal, March 2009

Novel and simple description for a smooth transition from α -cluster wave functions to j j -coupling shell model wave functions journal, May 2013

How atomic nuclei cluster journal, July 2012

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

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

Simplified modeling of cluster-shell competition in carbon isotopes journal, May 2007

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

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

Molecular and cluster structures in 18O journal, December 2009

Microscopic clustering in light nuclei journal, August 2018

Explicit inclusion of the spin-orbit contribution in the Tohsaki-Horiuchi-Schuck-Röpke wave function journal, October 2018

Localization and clustering in atomic nuclei journal, August 2017

Effect of $^{12}\mathrm{C}+\alpha$ clustering on the $E0$ transition in $^{16}\mathrm{O}$ journal, June 2017

Potential Models of Nuclear Forces at Small Distances journal, January 1968

São Paulo potential as a tool for calculating S factors of fusion reactions in dense stellar matter journal, October 2007

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

Stable-Carbon Isotope Ratios as a Measure of Marine Versus Terrestrial Protein in Ancient Diets journal, June 1982

Nontrivial origin for the large nuclear radii of dripline oxygen isotopes journal, January 2018

Localization in light nuclei journal, March 2011

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

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

Shell model and band structures in 19O journal, November 2010

Coexistence of Single-Particle, Collective-Quadrupole, and α + C 14 Molecular-Dipole Degrees of Freedom in O 18 journal, January 1983

Rod-shaped rotational states in N = Z even-even nuclei from C 12 to S 32 journal, October 2018

Title: Possibility of ¹⁴C cluster as a building block of medium-mass nuclei

Properties of the predicted superdeformed band in $^{32} S$
journal, October 2000

Proton and neutron density distributions for A=16-58 nuclei
journal, December 1979

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

Linear-chain structure of three α-clusters in 16C and 20C
journal, February 2010

Chapter II. Comprehensive Study of Alpha-Nuclei
journal, January 1980

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

Evidence for $^{16} O +^{16} O$ cluster bands in $^{32} S$
journal, August 2002

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

Multiconfiguration microscopic study of α+ $^{14}$ C molecular states
journal, June 1985

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

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

Simplified method to include the tensor contribution in α-cluster model
journal, March 2006

Effects of cluster–shell competition and BCS-like pairing in 12C
journal, December 2017

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

Charge Form Factor and Sum Rules of Electromagnetic Response Functions in ${}^{12}C$
journal, August 2013

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

Study of $$^{14}\hbox {C}$$ 14 C Cluster Decay Half-Lives of Heavy Deformed Nuclei
journal, December 2017

Simplified modeling of cluster-shell competition in ${}^{20}{Ne}$ and ${}^{24}{Mg}$
journal, January 2011

Structure Study of T = 0 States in 16O by 12C + Cluster-Coupling Model. I
journal, June 1976

From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions
journal, February 2018

Relativistic mean field study of clustering in light nuclei
journal, June 2005

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

General transformation of α cluster model wave function to jj-coupling shell model in various 4N nuclei
journal, September 2016

Carbon radioactivity of ²²³ Ac and a search for nitrogen emission
journal, May 2008

Microscopic -Cluster Model for 12C and 16O Based on Antisymmetrized Molecular Dynamics: Consistent Understanding of the Binding Energies of 12C and 16O
journal, December 1995

Cluster structures and superdeformation in ${}^{28}{Si}$
journal, October 2009

New effective internucleon forces in microscopic α-cluster model
journal, April 1994

Consistent description of ${}^{12}C$ and ${}^{16}O$ using a finite-range three-body interaction
journal, December 2016

Candidate superdeformed band in $^{28}$ Si
journal, December 2012

Cluster-shell competition in light nuclei
journal, November 2004

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

Appearance of cluster states in ${}^{13}C$
journal, March 2009

Novel and simple description for a smooth transition from $α$ -cluster wave functions to $j j$ -coupling shell model wave functions
journal, May 2013

How atomic nuclei cluster
journal, July 2012

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

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

Simplified modeling of cluster-shell competition in carbon isotopes
journal, May 2007

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

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

Molecular and cluster structures in 18O
journal, December 2009

Microscopic clustering in light nuclei
journal, August 2018

Explicit inclusion of the spin-orbit contribution in the Tohsaki-Horiuchi-Schuck-Röpke wave function
journal, October 2018

Localization and clustering in atomic nuclei
journal, August 2017

Effect of $^{12}\mathrm{C}+\alpha$ clustering on the $E0$ transition in $^{16}\mathrm{O}$
journal, June 2017

Potential Models of Nuclear Forces at Small Distances
journal, January 1968

São Paulo potential as a tool for calculating $S$ factors of fusion reactions in dense stellar matter
journal, October 2007

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

Stable-Carbon Isotope Ratios as a Measure of Marine Versus Terrestrial Protein in Ancient Diets
journal, June 1982

Nontrivial origin for the large nuclear radii of dripline oxygen isotopes
journal, January 2018

Localization in light nuclei
journal, March 2011

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

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

Shell model and band structures in 19O
journal, November 2010

Coexistence of Single-Particle, Collective-Quadrupole, and $α$ + ${}^{14}C$ Molecular-Dipole Degrees of Freedom in ${}^{18}O$
journal, January 1983

Rod-shaped rotational states in $N = Z$ even-even nuclei from ${}^{12}C$ to ${}^{32}S$
journal, October 2018