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What Does the Balance Function Measure?

Thomas A. Trainor
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Abstract

The balance function has been proposed to `clock' hadronization by measuring the charge-dependent correlation length on rapidity. According to the proposal a narrowed balance function would imply reduced hadron diffusion time and therefore delayed hadronization due to a long-lived prehadronic state, a quark-gluon plasma or QGP. I examine this chain of argument in the context of hadronization and rescattering. I then consider the algebraic structure of the balance function and its systematic dependence on the charge correlation length on rapidity. I conclude that the width of the balance function cannot determine a time interval from hadronization to kinetic decoupling, nor can the width determine the existence or temporal extent of a QGP.

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Thomas A. Trainor. 2003-01-16. What Does the Balance Function Measure?. https://arxiv.org/abs/hep-ph/0301122

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