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

Xia, Yin; Xu, Jun; Li, Bao-An; Shen, Wen-Qing

doi:10.1016/j.physletb.2016.06.029

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

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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:

Xia, Yin;

; Li, Bao-An; Shen, Wen-Qing

Publication Date:: Mon Aug 01 00:00:00 EDT 2016

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:: de-sc0013702; SC0009971; SC0013702

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 759 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

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.  Netherlands: N. p., 2016. 
Web.  doi:10.1016/j.physletb.2016.06.029.

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                    Xia, Yin, Xu, Jun, Li, Bao-An, & Shen, Wen-Qing. Equations of motion of test particles for solving the spin-dependent Boltzmann–Vlasov equation.  Netherlands.  https://doi.org/10.1016/j.physletb.2016.06.029

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                    Xia, Yin, Xu, Jun, Li, Bao-An, and Shen, Wen-Qing. Mon .  
"Equations of motion of test particles for solving the spin-dependent Boltzmann–Vlasov equation".  Netherlands.  https://doi.org/10.1016/j.physletb.2016.06.029.

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@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 B},

  number       = C,

  volume       = 759,

  place        = {Netherlands},

  year         = {Mon Aug 01 00:00:00 EDT 2016},

  month        = {Mon Aug 01 00:00:00 EDT 2016}

}

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