Abstract
Space-time evolution of spin polarization within the framework of hydrodynamics with spin based on de Groot - van Leeuwen - van Weert forms of energy-momentum and spin tensors is studied. Due to the non-boost invariant flow in the system the spin polarization components couple to each other implying some effects on the spin polarization observables. We study transverse-momentum and rapidity dependence of mean spin polarization vector for $\Lambda$ hyperons. Our results show qualitative agreement for rapidity dependence of the global spin polarization with the experiments and other models. The quadrupole structure of the longitudinal component at midrapidity is not found, however, as compared to the results for Bjorken expansion, some non-trivial signal at forward rapidities is observed.
Highlights
In the last two decades, relativistic hydrodynamics has become a well established theory with broad applications in relativistic heavy-ion collisions, condensed matter physics, and astrophysics [1–6]
Space-time evolution of spin polarization within the framework of hydrodynamics with spin based on de Groot—van Leeuwen—van Weert forms of energy-momentum and spin tensors is studied
We study transverse-momentum and rapidity dependence of mean spin polarization vector for Λ hyperons
Summary
In the last two decades, relativistic hydrodynamics has become a well established theory with broad applications in relativistic heavy-ion collisions, condensed matter physics, and astrophysics [1–6]. The measured transverse-momentum dependence of the spin polarization along the beam direction [15,30] has been shown to have an opposite sign with respect to the model predictions [31,32] This mismatch between theory and experiment, currently known as the sign problem, has triggered further. The dynamics of spin polarization is expected to be controlled by a rank-two antisymmetric tensor ωαβ known as the spin polarization tensor [36–38] It introduces into hydrodynamics six extra Lagrange multipliers which, together with the standard ones, must be determined based on the conservation laws.
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