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2024年10月30日

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

  • 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.
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  • [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.
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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.
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. shu
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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

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.

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