TABLE I: Values of the maximum mass M$_{max}$ and corresponding central energy density ϵ$_{max}$ and radius R$_{max}$ obtained for di ff erent EOSs of the nuclear matter. The radius R$_{1}$$_{.}$$_{4}$ for the neutron star with canonical mass (1 . 4 $^{M}$⊙ ) are also given. $^{a}$This EOS is obtained using one of the several parameter sets of the extended RMF model given in our earlier work [48]. Each of these parameterizations corresponds to di ff erent values of the strength ζ for the ω -meson self-coupling term and neutron-skin thickness Δ r in $^{208}$Pb nucleus. The remaining parameters of the models were calibrated to yield reasonable fit to the bulk nuclear observables and nuclear ma tter incompressibility coe ffi cient. In the present work we use the parameter set with ζ = 0 . 03 and Δ r = 0 . 2fm which will be referred henceforth as BSR10. 12 EOS Approach ϵ$_{max}$ M$_{max}$ R$_{max}$ R$_{1}$$_{.}$$_{4}$ Ref. (10$^{15}$g / cm$^{3}$) ( $^{M}$⊙ ) (km) (km) APR Variational 2.80 2.19 9.9 11.3 [46] SLY4 NRMF 2.84 2.05 10.0 11.7 [47] BSR10 a RMF 2.14 1.97 11.6 13.3 [48] TM1 RMF 1.87 2.19 12.4 14.4 [49] NL3 RMF 1.55 2.79 13.3 14.7 [50]