Investigation of the Nuclear Structure in the Even 168–188W nuclei

Abstract

A study of W isotopes chain from (168-188) nuclei is presented .The energy levels , B(E2) transitions , the quadrupole moment of 21+ state and potential energy surfaces are described by using the general IBM-1 Hamiltonian. In this chain nuclei evolve to SU(3) properties stepwise with increases the atomic mass number with sustentation the O(6) operator which be constant in the last five elements from 168-188W isotopes series .The predicted theoretical calculations were compared with the experimental data in respective figures and tables ,it was seen that the predicted results are in a good agreement with the experimental data. In the framework of IBM calculations (27) energy levels were determined for 168-188W isotopes as (0+2:0.711MeV, 2+2: 0.32MeV , 2+3 : 0.55MeV, 3+1 :0.401MeV and 4+2 : 0.67MeV ) for 168W, (2+2: 0.169MeV, 2+3 :0.214MeV,3+1 :0.331MeV and 4+2 :0.525MeV ) for 170W , ( 2+2: 0.129MeV , 2+3 :0.147MeV, 3+1 :0.257MeV and 4+2 :0.417MeV ) for 172W, (0+2: 0.1321MeV, 2+2:0.157MeV , 2+3 :0.29MeV, 3+1 :0.301MeV and 4+2 :0.414MeV ) for 174W, (2+3 :1.67MeV, 4+3 :1.85MeV and 6+2 :1.59MeV) for 180W, (4+3 :1.38MeV and 6+2 :1.34MeV ) for 184W, (6+2 :1.37MeV ) for 186W and (2+3 :1.2MeV, 3+1:0.77MeV and 6+2 :1.21MeV ) for 188W.