Non-gaussian statistics and the relativistic nuclear equation of state

F. I. M. Pereira; R. Silva; J. S. Alcaniz

doi:10.1016/j.nuclphysa.2009.06.024

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arXiv · 0902.2383

Non-gaussian statistics and the relativistic nuclear equation of state

F. I. M. Pereira·R. Silva·J. S. Alcaniz

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Abstract

We investigate possible effects of quantum power-law statistical mechanics on the relativistic nuclear equation of state in the context of the Walecka quantum hadrodynamics theory. By considering the Kaniadakis non-Gaussian statistics, characterized by the index $κ$ (Boltzmann-Gibbs entropy is recovered in the limit $κ\to 0$), we show that the scalar and vector meson fields become more intense due to the non-Gaussian statistical effects ($κ\neq 0$). From an analytical treatment, an upper bound on $κ$ ($κ< 1/4$) is found. We also show that as the parameter $κ$ increases the nucleon effective mass diminishes and the equation of state becomes stiffer. A possible connection between phase transitions in nuclear matter and the $κ$-parameter is largely discussed.

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F. I. M. Pereira, R. Silva, J. S. Alcaniz. 2009-02-13. Non-gaussian statistics and the relativistic nuclear equation of state. https://doi.org/10.1016/j.nuclphysa.2009.06.024

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