Equations of motion of test particles for solving the spindependent Boltzmann–Vlasov equation
Abstract
A consistent derivation of the equations of motion (EOMs) of test particles for solving the spindependent Boltzmann–Vlasov equation is presented. The resulting EOMs in phase space are similar to the canonical equations in Hamiltonian dynamics, and the EOM of spin is the same as that in the Heisenburg picture of quantum mechanics. Considering further the quantum nature of spin and choosing the direction of total angular momentum in heavyion reactions as a reference of measuring nucleon spin, the EOMs of spinup and spindown nucleons are given separately. The key elements affecting the spin dynamics in heavyion collisions are identified. The resulting EOMs provide a solid foundation for using the testparticle approach in studying spin dynamics in heavyion collisions at intermediate energies. Future comparisons of model simulations with experimental data will help to constrain the poorly known inmedium nucleon spin–orbit coupling relevant for understanding properties of rare isotopes and their astrophysical impacts.
 Authors:

 Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics; Univ. of Chinese Academy of Science, Beijing (China)
 Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics
 Texas A&M Univ., Commerce, TX (United States); Xi'an Jiao Tong Univ., Xi'an (China)
 Publication Date:
 Research Org.:
 Texas A & M Univ., Commerce, TX (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1476955
 Alternate Identifier(s):
 OSTI ID: 1364369
 Grant/Contract Number:
 SC0013702; SC0009971; desc0013702
 Resource Type:
 Journal Article: Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 759; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Xia, Yin, Xu, Jun, Li, BaoAn, and Shen, WenQing. Equations of motion of test particles for solving the spindependent Boltzmann–Vlasov equation. United States: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.06.029.
Xia, Yin, Xu, Jun, Li, BaoAn, & Shen, WenQing. Equations of motion of test particles for solving the spindependent Boltzmann–Vlasov equation. United States. doi:10.1016/j.physletb.2016.06.029.
Xia, Yin, Xu, Jun, Li, BaoAn, and Shen, WenQing. Thu .
"Equations of motion of test particles for solving the spindependent Boltzmann–Vlasov equation". United States. doi:10.1016/j.physletb.2016.06.029.
@article{osti_1476955,
title = {Equations of motion of test particles for solving the spindependent Boltzmann–Vlasov equation},
author = {Xia, Yin and Xu, Jun and Li, BaoAn and Shen, WenQing},
abstractNote = {A consistent derivation of the equations of motion (EOMs) of test particles for solving the spindependent Boltzmann–Vlasov equation is presented. The resulting EOMs in phase space are similar to the canonical equations in Hamiltonian dynamics, and the EOM of spin is the same as that in the Heisenburg picture of quantum mechanics. Considering further the quantum nature of spin and choosing the direction of total angular momentum in heavyion reactions as a reference of measuring nucleon spin, the EOMs of spinup and spindown nucleons are given separately. The key elements affecting the spin dynamics in heavyion collisions are identified. The resulting EOMs provide a solid foundation for using the testparticle approach in studying spin dynamics in heavyion collisions at intermediate energies. Future comparisons of model simulations with experimental data will help to constrain the poorly known inmedium nucleon spin–orbit coupling relevant for understanding properties of rare isotopes and their astrophysical impacts.},
doi = {10.1016/j.physletb.2016.06.029},
journal = {Physics Letters. Section B},
issn = {03702693},
number = C,
volume = 759,
place = {United States},
year = {2016},
month = {6}
}
Web of Science