Abstract
We study the presence of thermodynamic instabilities in a hot and dense nuclear medium where a nuclear phase transition can take place. Similarly to the low density nuclear liquid-gas phase transition, we show that such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the strangeness concentration). The analysis is performed by requiring the global conservation of baryon number and zero net strangeness in the framework of an effective relativistic mean field theory with the inclusion of the Δ(1232)-isobars, hyperons and the lightest pseudoscalar and vector meson degrees of freedom. It turns out that in this situation hadronic phases with different values of strangeness content may coexist, altering significantly meson-antimeson ratios.
Highlights
We investigate the nuclear medium in the context of relativistic mean field approach, where the nuclear force is mediated by the exchange of isoscalar-scalar (σ), isoscalar-vector (ω) and isovectorvector (ρ) mesons fields in the so-called TM1 parameter set [1, 2]
For what concern the electric charge (Q), we work in symmetric nuclear matter with a fixed value of Z/A = 0.5 and we do not consider fluctuations in the electric charge fraction, due to the high temperature regime considered in the present investigation
The electric charge results to be separately conserved in each phase during the phase transition and the chemical potential of particle of index i can be written as μi = bi μB + si μS, where bi and si are, respectively, the baryon and the strangeness quantum numbers of i-th hadronic species
Summary
We investigate the nuclear medium in the context of relativistic mean field approach, where the nuclear force is mediated by the exchange of isoscalar-scalar (σ), isoscalar-vector (ω) and isovectorvector (ρ) mesons fields in the so-called TM1 parameter set [1, 2]. We are dealing with the study of a multi-component system at finite temperature and density with two conserved charges: baryon (B) number and zero net strangeness (S) number (rS = ρS /ρB = 0).
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