Liquid drop model and alpha decay in nuclear structure study

Six different liquid drop model (LDM) formulas (LDM1, LDM2, LDM3, LDM4, LDM5 and LDM6) were analyzed to describe nuclear binding energy for 3252 nuclei which were classified into four groups; deformation group which contain six sets, decay mode group which contain two sets, spin group which contain six sets and final group which contain all nuclei. LDM6 was firstly formed and used in this study to represent nuclear binding energy. We determined the coefficients of all LDM formulas by using nonlinear regression method. Moreover we calculated root mean square (RMS) for all nuclei groups by using all LDM formulas. Comparison of experimental data of binding energy with calculations was also studied for all LDM formulas. It is shown in this study that by adding shell correction and shell effect terms to all LDM formulas RMS is being smaller. A systematic study on alpha decay half-lives using five different semi-empirical formulas for even-even, even-odd, odd-even and odd-odd nuclei was also done in this thesis. Calculated half-lives were carefully compared with measured ones for 459 different isotopes. Key words: Liquid drop model, binding energy, shell correction, shell effect, alpha decay, half-life, nonlinear regression.