From full stopping to transparency in a holographic model of heavy ion collisions

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Note that the longitudinal structure and the transverse structure of our incoming shocks are a priori uncorrelated in the sense that μ \mu and ω \omega can be chosen independently. To make contact with a real collision one may identify ω ∼ L / γ \omega\sim L/\gamma , with L L the width of the nucleus in the rest frame, and ρ 4 ∼ ρ rest 4 ​ γ 2 \rho^{4}\sim\rho_{\textrm{\tiny rest}}^{4}\gamma^{2} , with ρ rest 4 \rho_{\textrm{\tiny rest}}^{4} the nucleus density in the rest frame. Then one finds μ 3 ∼ μ rest 3 ​ γ \mu^{3}\sim\mu_{\textrm{\tiny rest}}^{3}\gamma , indicating that the shocks become denser in the transverse directions as the gamma factor of the collision increases. The saturation scale and its evolution in the holographic direction for our incoming shocks were studied in saturation

Cited in the paper.

We employ as a regulator a background thermal bath with ℰ {\cal E} between 0.015 ​ ρ 4 0.015\rho^{4} and 0.075 ​ ρ 4 0.075\rho^{4} . In particular, this means that a black brane horizon is present at all times. For numerical convenience, we use coordinates in the AdS bulk such that the apparent horizon lies at a constant position along the holographic radial coordinate

Cited in the paper.

We have checked that this is unrelated to our regulator by comparing simulations with two different regulators

Cited in the paper.

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