Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
| Autor: | Xia, Xiao-Liang, Li, Hui, Tang, Zebo, Wang, Qun |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 98, 024905 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.98.024905 |
| Popis: | We study the local structure of the vorticity field and the $\Lambda$ polarization in Au+Au collisions in the energy range $\sqrt{s_{\mathrm{NN}}}=7.7$--$200$ GeV and Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2760$ GeV using A Multi-Phase Transport (AMPT) model. We focus on the vorticity field arising from the non-uniform expansion of the fireball, which gives the circular structure of the transverse vorticity $\boldsymbol{\omega}_{\perp}=(\omega_{x},\omega_{y})$ around the $z$ direction as well as the quadrupole pattern of the longitudinal vorticity $\omega_{z}$ in the transverse plane. As a consequence, the three components of the polarization vector $\mathbf{P}=(P_{x},P_{y},P_{z})$ for $\Lambda$ hyperons show harmonic behaviors as $\mathrm{sgn}(Y)\sin\phi_{p}$, $-\mathrm{sgn}(Y)\cos\phi_{p}$, and $-\sin(2\phi_{p})$, where $\phi_{p}$ and $Y$ are the azimuthal angle and rapidity in momentum space. These patterns of the local $\Lambda$ polarization are expected to be tested in future experiments. Comment: 8 pages, 7 figures. One table, one figure and references added. Discussions in Sec III and IV improved. To appear in Phys. Rev. C |
| Databáze: | arXiv |
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