Strange quark matter in a chiral SU(3) quark mean field model

Abstract

We apply the chiral SU(3) quark mean field model to investigate strange quark matter. The stability of strange quark matter with different strangeness fraction is studied. The interaction between quarks and vector mesons destabilizes the strange quark matter. If the strength of the vector coupling is the same as in hadronic matter, strangelets can not be formed. For the case of β equilibrium, there is no strange quark matter which can be stable against hadron emission even without vector meson interactions.

Chiral symmetry restoration in strange hadronic matter

“…where δ = 6/33; σ 0 , ζ 0 and χ 0 are the vacuum expectation values [31] of the corresponding mean fields σ, ζ and χ. Chiral symmetry requires the following basic relations for the quark-meson coupling constants:…”

“…Note, the values of σ 0 , ζ 0 and χ 0 are determined from a minimization of the thermodynamical potential [31] (see below the procedure for σ 0 and ζ 0 in Eqs. (34) and (35)).…”

“…Although these chiral models indicate that the effective nucleon mass decreases with density, there is no phase transition with respect to chiral symmetry restoration. As an extension we proposed the chiral SU(3) quark mean field model and investigated hadronic and quark matter [29]- [31]. The chiral symmetry restoration of nuclear matter was also studied in this model and a phase transition was found [32].…”

Liquid-gas phase transition in nuclear matter including strangeness

“…As well as models based on hadronic degrees of freedom, there are some other models based on quark degrees of freedom, such as the quark-meson coupling model [23,24], the cloudy bag model [25], the NJL model [26], and the quark mean field model [27], etc. Recently, we proposed a chiral SU(3) quark mean field model and investigated the properties of hadronic matter as well as quark matter [28][29][30][31][32]. This model is quite successful in describing the properties of nuclear matter [28], strange matter [30,31], and finite nuclei and hypernuclei [32] at zero temperature.…”

“…Recently, we proposed a chiral SU(3) quark mean field model and investigated the properties of hadronic matter as well as quark matter [28][29][30][31][32]. This model is quite successful in describing the properties of nuclear matter [28], strange matter [30,31], and finite nuclei and hypernuclei [32] at zero temperature. In this paper, we will apply the chiral SU(3) quark mean field model to finite temperature and study the liquid-gas phase transition of strange hadronic matter.…”