Relativistic BUU Equation

YU Zi-Qiang; MAO Guang-Jun; ZHUO Yi-Zhong; LI Zhu-Xia; SUN Zhe-Min

Chinese Physics C> 1992, Vol. 16> Issue(4) : 312-321

Relativistic BUU Equation

Department of Physics,Nankai University,Tianjin 300071Institute of Atomic Energy Beijing 102413

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Abstract：
Based on the Waleck's models QHD-Ⅰ and QHD-Ⅱ describing the nucleon-nucleon interaction,the Boltzmann-Uehling-Uhlenbeck (BUU) equation,which is the time evolution of the nucleon distribution function including the Hartree and Fock self-energy terms as well as the Born collision term and its exchange term,has been derived by using the closed-time path Green's function technique and assuming that the Green's functions and the self-energy terms are slowly varying functions of the centre-of-mass coordinates.Our result shows that the BUU equation for proton and that for neutron are simultaneous each other.

References

[1]

葛凌霄，卓益忠，高能物理与核物理，13(1989)，652,[2] Jin Xuemin, Zhuo Yizhong, Zhang Xizhen and M. Sano, Nuclear Physics, A506(1990), 655.[3] Q. Li, J. Q. Wu and C. M. Ko, Plays. Rev., C39(1989), 849.M. Cubero, M. Schonhofen, B. L. Friman and W. Norenberg, To be Published in Proe. of the Int.[4] S. R. Degroot, W. A. Van Leeuwen and Ch. G. Van Weert, Relativistic Kinetic Theory, North-Holland,Amsterdam, 1980.[5] D. Serot and J. D. Walecka, The Relastivistic Nuclear Many-Body Problem, Advances in Nuclear Physics.[6] P, Danielewicz, Ann. Phys., 152(1984), 239.[7] Kuang-Chao Chou et al., Phys. Report., 118(12) (1985).[8] S. A. Chin, Ann. Phys., 108(1977), 301.[9] H-TH. Elze, et al., Mod, Phys. Lett., A2(1987), 451.

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YU Zi-Qiang, MAO Guang-Jun, ZHUO Yi-Zhong, LI Zhu-Xia and SUN Zhe-Min. Relativistic BUU Equation[J]. Chinese Physics C, 1992, 16(4): 312-321.

YU Zi-Qiang, MAO Guang-Jun, ZHUO Yi-Zhong, LI Zhu-Xia and SUN Zhe-Min. Relativistic BUU Equation[J]. Chinese Physics C, 1992, 16(4): 312-321. shu

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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

Relativistic BUU Equation

Corresponding author: YU Zi-Qiang,

Department of Physics,Nankai University,Tianjin 300071Institute of Atomic Energy Beijing 102413

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-04-05

Abstract: Based on the Waleck's models QHD-Ⅰ and QHD-Ⅱ describing the nucleon-nucleon interaction,the Boltzmann-Uehling-Uhlenbeck (BUU) equation,which is the time evolution of the nucleon distribution function including the Hartree and Fock self-energy terms as well as the Born collision term and its exchange term,has been derived by using the closed-time path Green's function technique and assuming that the Green's functions and the self-energy terms are slowly varying functions of the centre-of-mass coordinates.Our result shows that the BUU equation for proton and that for neutron are simultaneous each other.