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Based on the calculations of the shell and the residual pairing correction energies in the framework of Strutinskyʼs approach, we evaluated the proton and neutron magic numbers in the range 72 Z 282 and 96 N 540. New magic numbers and new islands of stability lie in a range defined by Greenʼs formula and the two-neutrons drip lines are presented. Our calculations reproduced known spherical double-magic nuclei and present evidences on new spherical double-magic nuclei in super-and ultraheavy regions.

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The SU(3) Polyakov linear-sigma model (PLSM) in mean-field approximation is utilized in analyzing the chiral condensates σ u , σ d , σ s and the deconfinement order parameters φ,φ, at finite isospin asymmetry. The bulk thermodynamics including pressure density, interaction measure, susceptibility, and second-order correlations with baryon, strange and electric charge quantum numbers are studied in thermal and dense medium. The PLSM results are confronted to the available lattice QCD calculations. The excellent agreement obtained strengthens the reliability of fixing the PLSM parameters and therefore supports further predictions even beyond the scope of the lattice QCD numerical applicability. From the QCD phase structure at finite isospin chemical potential (µ I ), a novel expression for the explicit symmetry breaking term h 3 is introduced, we find that the pseudocritical temperatures decrease with the increase in µ I . We conclude that the QCD phase structure in (T χ -µ I ) plane seems to extend the one in (T χ -µ B ) plane.