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

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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

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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.

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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.

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

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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.