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Main Authors: Yi, Cong, Wu, Xiang-Yu, Zhu, Jie, Pu, Shi, Qin, Guang-You
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2408.04296
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author Yi, Cong
Wu, Xiang-Yu
Zhu, Jie
Pu, Shi
Qin, Guang-You
author_facet Yi, Cong
Wu, Xiang-Yu
Zhu, Jie
Pu, Shi
Qin, Guang-You
contents We have implemented the 3+1 dimensional CLVisc hydrodynamics model with TRENTO-3D initial conditions to investigate the spin polarization of $Λ$ hyperons along the beam direction in p+Pb collisions at $\sqrt{s_{NN}} = 8.16$ TeV. Following our previous theoretical framework based on quantum kinetic theory, we consider three different scenarios: $Λ$ equilibrium, $s$ quark equilibrium, and iso-thermal equilibrium scenarios. We have computed the second Fourier sine coefficients of spin polarization along the beam direction, denoted as $\left\langle P_{z} \sin 2(ϕ_{p} - Ψ_{2}) \right\rangle$, with $ϕ_{p} - Ψ_{2}$ being the azimuthal angle relative to the second-order event plane $Ψ_{2}$, as functions of multiplicity, transverse momentum and pseudo-rapidity in the three scenarios. Additionally, we have also computed the spin polarization along the beam direction, $P_{z}$, as a function of the azimuthal angle. We find that the spin polarization induced by thermal vorticity always provides an opposite contribution compared to the shear-induced polarization in p+Pb collisions. The total spin polarization computed by the current hydrodynamic model disagrees with the data measured by LHC-CMS experiments. Our findings imply that other non-flow effects may play a crucial role in p+Pb collisions.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04296
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spin polarization of $Λ$ hyperons along beam direction in p+Pb collisions at $\sqrt{s_{NN}}=8.16$ TeV using hydrodynamic approaches
Yi, Cong
Wu, Xiang-Yu
Zhu, Jie
Pu, Shi
Qin, Guang-You
High Energy Physics - Phenomenology
Nuclear Theory
We have implemented the 3+1 dimensional CLVisc hydrodynamics model with TRENTO-3D initial conditions to investigate the spin polarization of $Λ$ hyperons along the beam direction in p+Pb collisions at $\sqrt{s_{NN}} = 8.16$ TeV. Following our previous theoretical framework based on quantum kinetic theory, we consider three different scenarios: $Λ$ equilibrium, $s$ quark equilibrium, and iso-thermal equilibrium scenarios. We have computed the second Fourier sine coefficients of spin polarization along the beam direction, denoted as $\left\langle P_{z} \sin 2(ϕ_{p} - Ψ_{2}) \right\rangle$, with $ϕ_{p} - Ψ_{2}$ being the azimuthal angle relative to the second-order event plane $Ψ_{2}$, as functions of multiplicity, transverse momentum and pseudo-rapidity in the three scenarios. Additionally, we have also computed the spin polarization along the beam direction, $P_{z}$, as a function of the azimuthal angle. We find that the spin polarization induced by thermal vorticity always provides an opposite contribution compared to the shear-induced polarization in p+Pb collisions. The total spin polarization computed by the current hydrodynamic model disagrees with the data measured by LHC-CMS experiments. Our findings imply that other non-flow effects may play a crucial role in p+Pb collisions.
title Spin polarization of $Λ$ hyperons along beam direction in p+Pb collisions at $\sqrt{s_{NN}}=8.16$ TeV using hydrodynamic approaches
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2408.04296