  Based on the current measurement of the neutron distribution radius ($R_n$)
of $^{208}$Pb through the PREX-2 data, we re-visited the recently developed G3
and IOPB-I force parameter by fine-tuning some of the specific couplings within
the relativistic mean-field model. The $\omega-\rho-$mesons coupling
$\Lambda_{\omega}$ and the $\rho-$meson coupling $g_{\rho}$ are refitted to
reproduce the experimental neutron radius of $^{208}$Pb without compromising
the bulk properties of finite nuclei and infinite nuclear matter observables.
The modified parameter sets are applied to calculate the gross properties of
finite nuclei for a few double closed-shell nuclei and further used to obtain
the various infinite nuclear matter observables at saturation. In addition to
these, the force parameters are adopted to calculate the properties of high
isospin asymmetry dense system such as neutron star matter and tested for the
validation for the constraint from GW170817 binary neutron star merger events.
The tuned forces are predicting relatively good results for finite and infinite
nuclear matter systems and the current limitation on neutron radius from
PREX-2. A systematic analysis using these two refitted parameter sets over the
nuclear chat will be communicated shortly.
