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2017

Relating centrality to impact parameter in nucleus-nucleus collisions

Das, Sruthy Jyothi, Giacalone, Giuliano, Monard, Pierre-Amaury et al.

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In ultrarelativistic heavy-ion experiments, one estimates the centrality of a collision by using a single observable, say $n$, typically given by the transverse energy or the number of tracks observed in a dedicated detector.

The correlation between $n$ and the impact parameter, $b$, of the collision is then inferred by fitting a specific model of the collision dynamics, such as the Glauber model, to experimental data.
The goal of this paper is to assess precisely which information about $b$ can be extracted from data without any specific model of the collision.
Under the sole assumption that the probability distribution of $n$ for a fixed $b$ is Gaussian, we show that the probability distribution of the impact parameter in a narrow centrality bin can be accurately reconstructed up to $5\%$ centrality.

Relating centrality to impact parameter in nucleus-nucleus collisions · Around

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