Statistical Analysis of 0+ Excitations in Even-Even Nuclei

Abstract

In past breathing mode and compressibility in even-even nuclide have been investigated using microscopic and macroscopic approaches but present paper, we statistically analyzed experimental data for first breathing mode excitations (0+) of the even –even nuclei lying in the mass region 12≤A≤250 . Statistical relationship between mass number (A) and first breathing mode excitations is presented by dividing this mass region 12≤A≤250 into five sub-regions. The correlation coefficients are calculated for the above said five sub-regions. We also present the statistical correlation between the mass number (A) and compression modulus (k). It is clear that the phase of correlation, between mass number (A) and breathing mode excitation energies, and, between mass number and compression modulus (k), is same except the mass regions 96≤A≤144 and 144≤A≤192 which indicates some peculiar behavior of nuclear structure in these regions and need rigorous theoretical calculations. The role of N/Z ratio in observed staggering pattern exhibited by first breathing mode excitation energies with mass number (A) is also discussed.