Investigation of The Multipolarity of Electromagnetic Transitions in ^{88,90}Kr Nuclei

Authors: NURETTİN TÜRKAN, DAVUT OLGUN, İHSAN ULUER, SAİT İNAN

Abstract: We have determined the most appropriate Hamiltonian that is needed for present calculations of nuclei about the A \cong 80 region by the view of Interacting Boson Model-2 (IBM-2). After obtaining the best Hamiltonian parameters, level energies and B(E2) probabilities of some transitions in ^{88,90}Kr nuclei were estimated. Results are compared with previous experimental and theoretical data and it is observed that they are in good agreement. Finally, R_1 = \frac{B(E2;4_1 \to 2_1)}{B(E2;2_1 \to 0_1)}, R_2 = \frac{B(E2;2_2 \to 2_1)}{B(E2;2_1 \to 0_1)}, \ R_3 = \frac{B(E2;0_2 \to 2_1)}{B(E2;2_1 \to 0_1)}, R_4 = \frac{{B(E2;2_2 \to 0_1)}{B(E2;2_2 \to 2_1)}, R_5 = \frac{B(E2;3_1 \to 2_1)}{B(E2;3_1 \to 4_1)}, R_6 = \frac{B(E2;4_2 \to 4_1)}{B(E2;4_2 \to 2_2)} and R_7 = \frac{B(E2;4_1 \to 2_1)}{B(E2;2_2 \to 2_1)} ratios are compared with the values of dynamic symmetry limits. (SO(6), SU(5), SU(3)).

Keywords: Electromagnetic transition, multipolarity, Interacting Boson Model-2 (IBM2), deformation parameters.

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