The role of the Heisenberg principle in constrained molecular dynamics model

Wang, K.; Bonasera, A.; Zheng, H.; Zhang, G. Q.; Ma, Y. G.; Shen, W. Q.

doi:10.1142/s0218301319500393

Title: The role of the Heisenberg principle in constrained molecular dynamics model

Abstract

In this study, we implement the Heisenberg principle into the Constrained Molecular Dynamics model with a similar approach to the Pauli principle using the one-body occupation probability $$\bar{f}_i$$. Results of the modified and the original model with comparisons to data are given. The binding energies and the radii of light nuclei obtained with the modified model are more consistent with the experimental data than the original one. The collision term and the density distribution are tested through a comparison to p+¹²C elastic scattering data. Some simulations for fragmentation and superheavy nuclei production are also discussed.

Authors:

^[1]; Bonasera, A. ^[2]; Zheng, H. ^[3]; Zhang, G. Q. ^[4]; Ma, Y. G. ^[5]; Shen, W. Q. ^[5]

Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics; Univ. of the Chinese Academy of Sciences, Beijing (China); ShanghaiTech Univ. (China). School of Physical Science and Technology
Texas A & M Univ., College Station, TX (United States). Cyclotron Inst.; Inst. Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud
School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, Shaanxi, P. R. China
Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics
Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics; ShanghaiTech Univ. (China). School of Physical Science and Technology

Publication Date:: 2019-07-03

Research Org.:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1574989

Grant/Contract Number:: NA0003841

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Modern Physics E

Additional Journal Information:: Journal Volume: 28; Journal Issue: 06; Journal ID: ISSN 0218-3013

Publisher:: World Scientific

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Heisenberg principle; binding energy; CoMD

Citation Formats


                    Wang, K., Bonasera, A., Zheng, H., Zhang, G. Q., Ma, Y. G., and Shen, W. Q. The role of the Heisenberg principle in constrained molecular dynamics model.  United States: N. p., 2019. 
Web.  doi:10.1142/s0218301319500393.

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                    Wang, K., Bonasera, A., Zheng, H., Zhang, G. Q., Ma, Y. G., & Shen, W. Q. The role of the Heisenberg principle in constrained molecular dynamics model.  United States.  https://doi.org/10.1142/s0218301319500393

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                    Wang, K., Bonasera, A., Zheng, H., Zhang, G. Q., Ma, Y. G., and Shen, W. Q. Wed .  
"The role of the Heisenberg principle in constrained molecular dynamics model".  United States.  https://doi.org/10.1142/s0218301319500393.  https://www.osti.gov/servlets/purl/1574989.

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@article{osti_1574989,

  title        = {The role of the Heisenberg principle in constrained molecular dynamics model},

  author       = {Wang, K. and Bonasera, A. and Zheng, H. and Zhang, G. Q. and Ma, Y. G. and Shen, W. Q.},

  abstractNote = {In this study, we implement the Heisenberg principle into the Constrained Molecular Dynamics model with a similar approach to the Pauli principle using the one-body occupation probability $\bar{f}_i$. Results of the modified and the original model with comparisons to data are given. The binding energies and the radii of light nuclei obtained with the modified model are more consistent with the experimental data than the original one. The collision term and the density distribution are tested through a comparison to p+12C elastic scattering data. Some simulations for fragmentation and superheavy nuclei production are also discussed.},

  doi          = {10.1142/s0218301319500393},

  journal      = {International Journal of Modern Physics E},

  number       = 06,

  volume       = 28,

  place        = {United States},

  year         = {2019},

  month        = {7}

}

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Journal Article:

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https://doi.org/10.1142/s0218301319500393

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Figures / Tables:

FIG. 1: Time evolution of binding energies during the cooling step for the original model without Heisenberg principle (a) and the modified model with Heisenberg principle (b).

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Works referenced in this record:

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Similar Records

Title: The role of the Heisenberg principle in constrained molecular dynamics model

Abstract

Citation Formats

Figures / Tables:

Constrained molecular dynamics approach to fermionic systems journal, July 2001

Microscopic model analyses of proton scattering from 12C, 20Ne, 24Mg, 28Si and 40Ca journal, July 2008

Forbidden (p, d) Transition and Their CCBA Analysis journal, June 1980

Antisymmetrized Version of Molecular Dynamics with Two-Nucleon Collisions and Its Application to Heavy Ion Reactions journal, May 1992

A guide to microscopic models for intermediate energy heavy ion collisions journal, March 1988

Analyzing powers for the C 12 ( p → , p ′ ) C 12 reaction at 120 MeV and a test of the distorted-wave impulse approximation journal, November 1981

Fermionic molecular dynamics journal, August 1990

Molecular dynamics for fermions journal, July 2000

The many facets of the (non-relativistic) Nuclear Equation of State journal, May 2014

Fermionic molecular dynamics for ground states and collisions of nuclei journal, April 1995

“Quantum” molecular dynamics—a dynamical microscopic n-body approach to investigate fragment formation and the nuclear equation of state in heavy ion collisions journal, April 1991

Thermal source parameters in Au+Au central collisions at 35 A MeV journal, April 1998

Surveying the nucleon-nucleon momentum correlation function in the framework of quantum molecular dynamics model journal, January 2006

National Nuclear Data Center: A Worldwide User Facility journal, July 2012

Fragment formation studied with antisymmetrized version of molecular dynamics with two-nucleon collisions journal, May 1992

Nuclear dynamics and particle production near threshold energies in heavy-ion collisions journal, February 2018

Coherent and incoherent giant dipole resonance γ -ray emission induced by heavy ion collisions: Study of the 40 Ca + 48 Ca system by means of the constrained molecular dynamics model journal, September 2003

Nuclear matter density effects in monopole transitions journal, January 1986

Extension of quantum molecular dynamics and its application to heavy-ion collisions journal, January 1996

Formation and decay of super-heavy systems journal, June 2002

Participant-spectator matter and thermalization of neutron-rich systems at the energy of vanishing flow journal, June 2012

Proton elastic scattering from C 12 at 250 MeV and energy dependent potentials between 200 and 300 MeV journal, February 1988

Chaos Driven Fusion Enhancement Factor at Astrophysical Energies journal, December 2004

Entrance channel dynamics in 40Ca+40Ca at 35A MeV journal, March 1998

The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation journal, July 1994

Constrained molecular dynamics simulations of atomic ground states journal, July 2005

Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective journal, February 1998

Quantum molecular dynamics — A novel approach to N-body correlations in heavy ion collisions journal, August 1986

Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory journal, February 2013

Experimental survey of the production of α -decaying heavy elements in U 238 + Th 232 reactions at 7.5–6.1 MeV/nucleon journal, June 2018

Giant Dipole Resonance as a Fingerprint of α Clustering Configurations in C 12 and O 16 journal, July 2014

Constrained molecular dynamics II: An N-body approach to nuclear systems journal, September 2005

Constrained Molecular Dynamics Approach to Fermionic Systems conference, November 2011

Spontaneous fission modes and lifetimes of super-heavy elements in the nuclear density functional theory text, January 2012

Chaos driven fusion enhancement factor at astrophysical energies text, January 2004

Extension of Quantum Molecular Dynamics and its Application to Heavy-Ion Collisions text, January 1995

Constrained molecular dynamics approach to fermionic systems
journal, July 2001

Microscopic model analyses of proton scattering from 12C, 20Ne, 24Mg, 28Si and 40Ca
journal, July 2008

Forbidden (p, d) Transition and Their CCBA Analysis
journal, June 1980

Antisymmetrized Version of Molecular Dynamics with Two-Nucleon Collisions and Its Application to Heavy Ion Reactions
journal, May 1992

A guide to microscopic models for intermediate energy heavy ion collisions
journal, March 1988

Analyzing powers for the ${}^{12}C$ ( $\vec{p}$ , $p^{'}$ ) ${}^{12}C$ reaction at 120 MeV and a test of the distorted-wave impulse approximation
journal, November 1981

Fermionic molecular dynamics
journal, August 1990

Molecular dynamics for fermions
journal, July 2000

The many facets of the (non-relativistic) Nuclear Equation of State
journal, May 2014

Fermionic molecular dynamics for ground states and collisions of nuclei
journal, April 1995

“Quantum” molecular dynamics—a dynamical microscopic n-body approach to investigate fragment formation and the nuclear equation of state in heavy ion collisions
journal, April 1991

Thermal source parameters in Au+Au central collisions at 35 A MeV
journal, April 1998

Surveying the nucleon-nucleon momentum correlation function in the framework of quantum molecular dynamics model
journal, January 2006

National Nuclear Data Center: A Worldwide User Facility
journal, July 2012

Fragment formation studied with antisymmetrized version of molecular dynamics with two-nucleon collisions
journal, May 1992

Nuclear dynamics and particle production near threshold energies in heavy-ion collisions
journal, February 2018

Coherent and incoherent giant dipole resonance $γ$ -ray emission induced by heavy ion collisions: Study of the $^{40} Ca +^{48} Ca$ system by means of the constrained molecular dynamics model
journal, September 2003

Nuclear matter density effects in monopole transitions
journal, January 1986

Extension of quantum molecular dynamics and its application to heavy-ion collisions
journal, January 1996

Formation and decay of super-heavy systems
journal, June 2002

Participant-spectator matter and thermalization of neutron-rich systems at the energy of vanishing flow
journal, June 2012

Proton elastic scattering from ${}^{12}C$ at 250 MeV and energy dependent potentials between 200 and 300 MeV
journal, February 1988

Chaos Driven Fusion Enhancement Factor at Astrophysical Energies
journal, December 2004

Entrance channel dynamics in 40Ca+40Ca at 35A MeV
journal, March 1998

The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation
journal, July 1994

Constrained molecular dynamics simulations of atomic ground states
journal, July 2005

Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective
journal, February 1998

Quantum molecular dynamics — A novel approach to N-body correlations in heavy ion collisions
journal, August 1986

Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory
journal, February 2013

Experimental survey of the production of $α$ -decaying heavy elements in ${}^{238}U + {}^{232}{Th}$ reactions at 7.5–6.1 MeV/nucleon
journal, June 2018

Giant Dipole Resonance as a Fingerprint of $α$ Clustering Configurations in ${}^{12}C$ and ${}^{16}O$
journal, July 2014

Constrained molecular dynamics II: An N-body approach to nuclear systems
journal, September 2005

Constrained Molecular Dynamics Approach to Fermionic Systems
conference, November 2011

Spontaneous fission modes and lifetimes of super-heavy elements in the nuclear density functional theory
text, January 2012

Chaos driven fusion enhancement factor at astrophysical energies
text, January 2004

Extension of Quantum Molecular Dynamics and its Application to Heavy-Ion Collisions
text, January 1995