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We have systematically studied the surface properties, such as symmetricenergy, neutron pressure, and symmetry energy curvature coefficient for Ne, Na,Mg, Al, and Si nuclei from the proton to neutron drip-lines. The CoherentDensity Fluctuation Model (CDFM) is used to estimate these quantities takingthe relativistic mean-field densities as inputs. The Br\"uckner energy densityfunctional is taken for the nuclear matter binding energy and local densityapproximation is applied for its conversion to coordinate space. The symmetryenergy again decomposed to the volume and surface components within the liquiddrop model formalism to the volume and surface parts separately. Beforecalculating the surface properties of finite nuclei, the calculated bulkproperties are compared with the experimental data, whenever available. TheNL3* parameter set with the BCS pairing approach in an axially deformedframe-work is used to take care of the pairing correlation when needed. Thedeformed density is converted to its spherical equivalent with a two Gaussianfitting, which is used as an input for the calculation of weight function inthe CDFM approximation. With the help of the symmetric energy for the recentlyisotopes $^{29}$F, $^{28}$Ne, $^{29,30}$Na and $^{31,35,36}$Mg are consideredto be within the {\it island of inversion} emphasized {\bf [Phys. Lett. B 772,529 (2017)]}. Although we get large symmetric energies corresponding to a fewneutron numbers for this isotopic chain as expected, an irregular trend appearsfor all these considered nuclei. The possible reason behind this abnormalbehavior of symmetry energy for these lighter mass nuclei is also included inthe discussion, which gives a direction for future analysis.

canadian journal of physics

Systematic study of surface properties for Ne, Na, Mg, Al and Si  isotopes in a coherent density fluctuation model using the relativistic mean  field formalism