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We have optimized the parameters of extended relativistic mean-field modelusing a selected set of global observables which includes binding energies andcharge radii for nuclei along several isotopic and isotonic chains and theiso-scalar giant monopole resonance energies for the $^{90}$Zr and $^{208}$Pbnuclei. The model parameters are further constrained by the availableinformations on the energy per neutron for the dilute neutron matter and boundson the equations of state of the symmetric and asymmetric nuclear matter atsupra-nuclear densities. Two new parameter sets BSP and IUFSU* are obtained,later one being the variant of recently proposed IUFSU parameter set. The BSPparametrization uses the contributions from the quartic order cross-couplingbetween $\omega$ and $\sigma$ mesons to model the high density behaviour of theequation of state instead of the $\omega$ meson self-coupling as in the case ofIUFSU* or IUFSU. Our parameter sets yield appreciable improvements in thebinding energy systematics and the equation of state for the dilute neutronmatter. The importance of the quartic order $\omega-\sigma$ cross coupling termof the extended RMF model, as often ignored, is realized.

Optimization of relativistic mean field model for finite nuclei to neutron star matter