The density dependence of nuclear symmetry energy remains poorly constrained. Starting from precise empirical values of the nuclear volume and surface symmetry energy coefficients and the nuclear saturation density, we show how in the ambit of microscopic calculations with different energy density functionals, the value of the symmetry energy slope parameter L alongwith that for neutron skin can be put in tighter bounds. The value of L is found to be L= 64±5 MeV. For 208 Pb, the neutron skin thickness comes out to be 0.188 ±0.014 fm. Knowing L, the method can be applied to predict neutron skins of other nuclei. In recent times, there is a cultivated focus on a better understanding of the density properties of the symmetry energy of nuclear matter. Particular attention is given to constrain in a narrow window the value of the symmetry energy slope parameter L at the nuclear matter saturation density ρ 0 . In terrestrial context, this parameter affects the nuclear binding energies [1] and the nuclear drip lines and has a crucial role in determining the neutron density distribution in neutron-rich nuclei. In astrophysical context, it is also of seminal importance. The pressure P n (=3ρ 0 L) of neutron matter at ρ 0 influences the radii of cold neutron stars. The cooling of proto-neutron stars through neutrino convection [2], the dynamical evolution of the core-collapse of a massive star and the associated explosive nucleosynthesis depend sensitively on the symmetry energy slope parameter [3,4]. In the droplet model [5,6] of the nucleus, the neutron skin is proportional to L, a linear correlation between the neutron-skin thickness of the nucleus and neutron-star radius [7] could thus be envisaged.The symmetry energy slope parameter is defined aswhere Correlation systematics of nuclear isospin with the neutron skin thickness [15,16] for a series of nuclei in the framework of the nuclear droplet model has been undertaken by the Barcelona Group. This has yielded a value of L =75 ±25 MeV. The neutron skins were measured from antiprotonic atom experiments [17,18], systematic uncertainties involving model assumptions to deal with strong interaction is therefore unavoidable. The novel Pb-radius experiment (PREX) at the Jefferson Laboratory has now been attempted through parity-violation in electron scattering as a model-independent probe of the neutron density in 208 Pb [19]. The neutron skin R skin = R n − R p was found to be 0.33 +0.16 −0.18 fm, where R n and R p are the point neutron and proton root-mean squared (rms) radii. A reanalysis yielded the value to be 0.302 ±0.175 fm [20]. The droplet model as well as calculations with class of different interactions, Skyrme or relativistic mean-field (RMF), have now clearly established that the neutron skin thickness of 208 Pb is strongly correlated with the density dependence of symmetry energy around saturation [21][22][23][24]. In the backdrop of this information, the large uncertainty in the experimental neutron radius of 208 Pb seems to be of not much help in putting L i...