Abstract
We report on the discovery of new analytical solutions of the equations of relativistic ideal hydrodynamics. In this solution, the fluid expands in the longitudinal direction and contains a plateau structure that extends over a finite range in rapidity and can be either symmetric or asymmetric in that variable. We further calculate the corresponding pseudo-rapidity distribution of hadron yields, and find decent agreement with experimental measurements in high-energy Pb+Pb, Au+Au, p+Pb, and d+Au collisions.
Highlights
Relativistic heavy-ion collisions allow systematic laboratory-based studies of a color-deconfined phase of matter—the quark-gluon plasma (QGP)
Taking the limit that |a − 1| 1, we find d2N
Solutions of conformal israel-stewart relativistic viscous fluid dynamics, Phys
Summary
Relativistic heavy-ion collisions allow systematic laboratory-based studies of a color-deconfined phase of matter—the quark-gluon plasma (QGP). Taking the conformal equation of state (EoS), a solution was found by Gubser [16] which is boost invariant in the longitudinal direction and expands on the transverse plane. Another solution based on spherical expansion which allows nontrivial acceleration and rotation was found by Nagy [17], and more solutions with viscous effect were highlighted by Hatta, Noronha, and Xiao [18]. In this Letter, we introduce a family of new solutions to the one-plus-onedimensional (1+1D) hydrodynamic equations, which is not boost-invariant and can be either symmetric or asymmetric in rapidity.
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