Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

Abstract

The energy states for the  J , b ,  ɤ  bands and electromagnetic transitions B (E2) values for even – even molybdenum ^{90 – 94} Mo nuclei are calculated in the  present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using  IBS1. for   program for even ^{90 – 94} Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared  with the  experimental data . The ratio of the excitation energies of the  4₁⁺ to 2₁⁺ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the ^{90 – 94} Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between  the calculated energy states and electric quadruple probabilities B(E2) transition of the ^90–94Mo isotopes with the experimental data .