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MAS International European Congress On Mathematics, Engineering, Natural and Medical Sciences-IV, Antalya, Turkey, 21 - 23 March 2019, pp.25-31
Reduced quadrupole transition probability of nuclei B(E2) is an important phenomenon for determination of deformation for nuclei in its ground state. There can be found many
experimental efforts to determination of B(E2) values through wide region of nuclidic chart. However, experimental determination B(E2) values of nuclei close to neutron rich and proton rich side of Segre chart is not easy task because production rate of this nuclei may not provide statistically enough data. Therefore theoretical predictions of BE(2) values for nuclei close to proton and neutron drip-lines are welcome. In this study, we have carried out theoretical predictions of even-even magnesium isotopes starting from mass number A=20 to A=40 by means of covariant density functional theory with density dependent PC1 interaction. Magnesium (Mg) isotopes have been considered as axially symmetric and both prolate and oblate shape configuration of magnesium nuclei have been taking into account. By using obtained electric quadrupole deformation parameters of Mg nuclei, B(E2) values for Mg nuclei have been calculated. Furthermore ground-state binding energies, nucleon separation energies and rms charge radii of even-even Mg nuclei have been calculated and discussed in detail by using available experimental data and other nuclear model results.