Abstract
The quartic term in the framework of relativistic mean field theory with inclusion of scalar meson interactions is investigated. It is shown that the quartic term in the asymmetric expansion of nuclear matter energy may reach very large values. This makes the even power expansion of asymmetry questionable and suggests possible non-analytic contributions to the energy of matter.
Highlights
The fundamental quantity for describing neutron star matter is the energy density ε(n, x) which is a function of the baryon number n and proton fraction x
In our work we have focused on the quartic term determination and its density dependence within the framework of the relativistic mean field (RMF) model, enriched through scalar meson interactions, e.g., by inclusion of the σ −δ crossing term [18]
We show that the expansion given by Eq (1) must be treated with caution, because the quartic term appears to be unexpectedly large
Summary
Noemi Zabari Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, ul.Radzikowskiego 152, 31-342 Krakow, Poland. Sebastian Kubis∗ and Wlodzimierz Wojcik Institute of Physics, Cracow University of Technology, Podchorazych 1, 30-084 Krakow, Poland. The quartic term in the framework of relativistic mean field theory with inclusion of scalar meson interactions is investigated. It is shown that the quartic term in the asymmetric expansion of nuclear matter energy may reach very large values. This makes the even power expansion of asymmetry questionable and suggests possible non-analytic contributions to the energy of matter
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