Polarization of massive fermions in a vortical fluid
Abstract
For this study, fermions become polarized in a vortical fluid due to spin-vorticity coupling. Such a polarization can be calculated from the Wigner function in a quantum kinetic approach. By extending previous results for chiral fermions, we derive the Wigner function for massive fermions up to next-to-leading order in spatial gradient expansion. The polarization density of fermions can be calculated from the axial vector component of the Wigner function and is found to be proportional to the local vorticity ω. The polarizations per particle for fermions and antifermions decrease with the chemical potential and increase with energy (mass). Both quantities approach the asymptotic value ℏω/4 in the large energy (mass) limit. The polarization per particle for fermions is always smaller than that for antifermions, whose ratio of fermions to antifermions also decreases with the chemical potential. The polarization per particle on the Cooper-Frye freeze-out hypersurface can also be formulated and is consistent with the previous result of Becattini et al.
- Authors:
-
- Univ. of Science and Technology of China, Hefei (China). Interdisciplinary Center for Theoretical Study and Dept. of Modern Physics
- Frankfurt Inst. for Advanced Studies (FIAS), Frankfurt (Germany)
- China Central Normal Univ., Wuhan (China). Inst. of Particle Physics and Key Lab. of Quark and Lepton Physics (MOE); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); National Basic Research Program of China; National Natural Science Foundation of China (NSFC); Ministry of Science and Technology (China); Helmholtz Association of German Research Centres; Society for Heavy Ion Research (GSI)
- OSTI Identifier:
- 1429354
- Alternate Identifier(s):
- OSTI ID: 1280207
- Grant/Contract Number:
- AC02-05CH11231; 2015CB856902; 2014CB845406; 11535012; 11221504; 2014DFG02050
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 2; Related Information: © 2016 American Physical Society.; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS; 74 ATOMIC AND MOLECULAR PHYSICS; collective flow; relativistic heavy-ion collisions
Citation Formats
Fang, Ren-hong, Pang, Long-gang, Wang, Qun, and Wang, Xin-nian. Polarization of massive fermions in a vortical fluid. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.024904.
Fang, Ren-hong, Pang, Long-gang, Wang, Qun, & Wang, Xin-nian. Polarization of massive fermions in a vortical fluid. United States. https://doi.org/10.1103/PhysRevC.94.024904
Fang, Ren-hong, Pang, Long-gang, Wang, Qun, and Wang, Xin-nian. Tue .
"Polarization of massive fermions in a vortical fluid". United States. https://doi.org/10.1103/PhysRevC.94.024904. https://www.osti.gov/servlets/purl/1429354.
@article{osti_1429354,
title = {Polarization of massive fermions in a vortical fluid},
author = {Fang, Ren-hong and Pang, Long-gang and Wang, Qun and Wang, Xin-nian},
abstractNote = {For this study, fermions become polarized in a vortical fluid due to spin-vorticity coupling. Such a polarization can be calculated from the Wigner function in a quantum kinetic approach. By extending previous results for chiral fermions, we derive the Wigner function for massive fermions up to next-to-leading order in spatial gradient expansion. The polarization density of fermions can be calculated from the axial vector component of the Wigner function and is found to be proportional to the local vorticity ω. The polarizations per particle for fermions and antifermions decrease with the chemical potential and increase with energy (mass). Both quantities approach the asymptotic value ℏω/4 in the large energy (mass) limit. The polarization per particle for fermions is always smaller than that for antifermions, whose ratio of fermions to antifermions also decreases with the chemical potential. The polarization per particle on the Cooper-Frye freeze-out hypersurface can also be formulated and is consistent with the previous result of Becattini et al.},
doi = {10.1103/PhysRevC.94.024904},
journal = {Physical Review C},
number = 2,
volume = 94,
place = {United States},
year = {Tue Aug 02 00:00:00 EDT 2016},
month = {Tue Aug 02 00:00:00 EDT 2016}
}
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