Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics

Li Xiguo; Liu Hang; Liu Jianye

Chinese Physics C> 1997, Vol. 21> Issue(2) : 162-168

Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics

Institute of Modern Physical,The Chinese Academy of Sciences,Lanzhou 7300002 Department of Physics,Northwest Normal University,Lanzhou 730070

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the two-body correlation dynamics and the time dependent variational principle the equations of nonrelativistic two-body correlation transport theory(TBCTT) for heavy ion collisions are established.This theory is used to discuss Fermionic Molecular Dynamics (FMD) and Antisymmetrized Molecular Dynamics (AMD).The collision effects can naturely appear in the time-evolution equations of its single particle states.

References

[1]

S. J. Wang, W. Gassing, Ann. Phys, 199(1985)238.[2] 刘建业、王顺金、李希国等, 高能物理与核物理, 20(1996)1007.[3] H. Feldmeier K. Bielar, J. Sclinack, Nucl.Phys, A586(1995)493.[4] J. Aichelin et al., Phys. Rev, C37(1988)2451.[5] A. Ono, H. Horiuchi, T. Maruyama et al. Phys. Rev. Lett.,68(1992)2898.[6] H. Feldmaer, Nucl.Phys,A515(1990)147.[7] C. Coriano, R. Patwani, H. Yamagishi, Nucl. Phys,A552(1991)591.[8] C. Jaczynski, Phys. Rev. Lett.,74(1995)1264.[9] Per-Olov Lowdin, Phys. Rev, 97(1955)1474.[10] P. Kramer. M,Saraoeno, Geometry of the time一dependent unriational principle in qumtan mechcreics, Lecture Notesin Physics, 140 (Springer一Verlag 1981).[11] S. S. Chem, Complex Manifdds Without Potential Theory, D. Van Nostrand Company, INC, 1967.

[1]	Chen Bo , Liu Jianye , Liu Hang , Wang Shunjin , Li Xiguo , Zuo Wei . Preliminary Results and Conservation Laws of Two-Body Correlation Transport Theory for Heavy ion Collision. Chinese Physics C, 1999, 23(8): 813-819.
[2]	Liu Hang , Liu Jianye , Li Xiguo , Zuo Wei . Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅳ.Conservation Laws. Chinese Physics C, 1998, 22(1): 55-60.
[3]	Liu Hang , Li Xiguo , Liu Jianye , Zuo Wei . Two-Body Correlation Transport Theory for Heavy Ion Collision V. Hierarchy Truncation. Chinese Physics C, 1998, 22(2): 148-152.
[4]	Liu Hang , Zuo Wei , Li Xiguo , Liu Jianye , Wang Shunjin . Two-Body Correlation Transport Theory for Heavy Ion Collision Ⅲ.Numerical Study for Semiclassical Approximation. Chinese Physics C, 1997, 21(2): 169-175.
[5]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅱ)Equal Time Limit and Two-Body Correlation Dynamics. Chinese Physics C, 1996, 20(2): 131-137.
[6]	Liu Jianye , Wang Shunjin , Li Xiguo , Liu Hang , Zuo Wei . Two -Body Correlation Transport Theory for Heavy Ion Collisions Ⅰ. Theory Model: Construction of Coherent State Representation and Basic Equations of Motion. Chinese Physics C, 1996, 20(11): 1007-1013.
[7]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical form (Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1995, 19(3): 270-277.
[8]	Liu Jianye , Zhang Shaoguang . Dynamical Study on Processes of Intermediate-Energy Heavy Ion Collisions. Chinese Physics C, 1995, 19(1): 53-58.
[9]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅲ) Equal Time Limit and Two-bodyCorrelation Dynamics. Chinese Physics C, 1995, 19(5): 455-467.
[10]	Liu Hang , Liu Jianye , Zhang Shaoguang , Li Junqing . Multifragmentation Process in HIC Simulated by Modified Quantum Molecular Dynamics. Chinese Physics C, 1995, 19(11): 1040-1046.
[11]	Huang Xiaolin , Jiang Dongxing , Ye Yanlin , Liu Hongtao , Lu Xiting . The Dynamics of Linear Momentum Dissipation in the Intermediate Energy Heavy Ion Collisions. Chinese Physics C, 1994, 18(2): 154-159.
[12]	Zeng Xianghua , Ge Lingxiao , Zuo Wei . The Relationship Between the Energy Storage and the Entrance Channel Dynamics in HIC. Chinese Physics C, 1994, 18(9): 842-847.
[13]	ZUO Wei , GE Ling-Xiao , ZHANG Feng-Shou . Heavy Ion Collision Dynamics in Fermi Domain (Ⅲ) Multifragmentation and Limiting Exciting Energy. Chinese Physics C, 1993, 17(7): 644-650.
[14]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder. Chinese Physics C, 1993, 17(2): 179-185.
[15]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅱ. Equal Time Limit. Chinese Physics C, 1992, 16(11): 1050-1056.
[16]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅰ.The Equations of Motion for Many-Body Correlation. Chinese Physics C, 1992, 16(9): 840-848.
[17]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (Ⅱ) DYNAMICS DEPENDENCE OF IMPACT PARAMETER. Chinese Physics C, 1990, 14(11): 1045-1050.
[18]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (I) DYNAMICS DEPENDENCE OF ENERGY. Chinese Physics C, 1990, 14(6): 561-568.
[19]	ZHONG Ji-Quan , GE Ling-Xiao , LIU Jian-Ye , YU Xian . A DYNAMICAL METHOD IN DEEP IN ELASTIC COLLISION OF HEAVY IONS. Chinese Physics C, 1983, 7(5): 598-604.
[20]	Zhong Ji-quan . A CORRELATIVE TREATMENT OF DYNAMICS AND DIFFUSION EQUATIONS IN DEEP INELASTIC COLLISIONS. Chinese Physics C, 1980, 4(6): 744-751.

Access

Get Citation

Li Xiguo, Liu Hang and Liu Jianye. Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics[J]. Chinese Physics C, 1997, 21(2): 162-168.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2626)
PDF Downloads(531)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics

Corresponding author: Li Xiguo,

Institute of Modern Physical,The Chinese Academy of Sciences,Lanzhou 7300002 Department of Physics,Northwest Normal University,Lanzhou 730070

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1997-02-05

Abstract: Using the two-body correlation dynamics and the time dependent variational principle the equations of nonrelativistic two-body correlation transport theory(TBCTT) for heavy ion collisions are established.This theory is used to discuss Fermionic Molecular Dynamics (FMD) and Antisymmetrized Molecular Dynamics (AMD).The collision effects can naturely appear in the time-evolution equations of its single particle states.

HTML

Reference (1)

Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article