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Title: Equations of motion of test particles for solving the spin-dependent Boltzmann–Vlasov equation

Abstract

A consistent derivation of the equations of motion (EOMs) of test particles for solving the spin-dependent 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 heavy-ion reactions as a reference of measuring nucleon spin, the EOMs of spin-up and spin-down nucleons are given separately. The key elements affecting the spin dynamics in heavy-ion collisions are identified. The resulting EOMs provide a solid foundation for using the test-particle approach in studying spin dynamics in heavy-ion collisions at intermediate energies. Future comparisons of model simulations with experimental data will help to constrain the poorly known in-medium nucleon spin–orbit coupling relevant for understanding properties of rare isotopes and their astrophysical impacts.

Authors:
 [1]; ORCiD logo [2];  [3];  [2]
  1. Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics; Univ. of Chinese Academy of Science, Beijing (China)
  2. Chinese Academy of Sciences (CAS), Shanghai (China). Shanghai Inst. of Applied Physics
  3. 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; de-sc0013702
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 759; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Xia, Yin, Xu, Jun, Li, Bao-An, and Shen, Wen-Qing. Equations of motion of test particles for solving the spin-dependent Boltzmann–Vlasov equation. United States: N. p., 2016. Web. doi:10.1016/j.physletb.2016.06.029.
Xia, Yin, Xu, Jun, Li, Bao-An, & Shen, Wen-Qing. Equations of motion of test particles for solving the spin-dependent Boltzmann–Vlasov equation. United States. doi:10.1016/j.physletb.2016.06.029.
Xia, Yin, Xu, Jun, Li, Bao-An, and Shen, Wen-Qing. Thu . "Equations of motion of test particles for solving the spin-dependent 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 spin-dependent Boltzmann–Vlasov equation},
author = {Xia, Yin and Xu, Jun and Li, Bao-An and Shen, Wen-Qing},
abstractNote = {A consistent derivation of the equations of motion (EOMs) of test particles for solving the spin-dependent 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 heavy-ion reactions as a reference of measuring nucleon spin, the EOMs of spin-up and spin-down nucleons are given separately. The key elements affecting the spin dynamics in heavy-ion collisions are identified. The resulting EOMs provide a solid foundation for using the test-particle approach in studying spin dynamics in heavy-ion collisions at intermediate energies. Future comparisons of model simulations with experimental data will help to constrain the poorly known in-medium 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 = {0370-2693},
number = C,
volume = 759,
place = {United States},
year = {2016},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2016.06.029

Citation Metrics:
Cited by: 2 works
Citation information provided by
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