Etude fractionnaire conformable de l’énergie d’excitation nucléaire par le Hamiltonien de Bohr avec le potentiel de Kratzer écranté

Abstract

In this work, weobtainnewsolutionsoftheBohrHamiltonianmodelappropriatefor triaxial nuclei, with screened Kratzer potential in the framework of conformable fractio nal derivative. The analytical solutions for energy spectra are obtained using the confor mable fractional Nikiforov-Uvarov method. We discuss the link between the present model and other relevant related models such as Z(5) model, classical screened Kratzer model and conformable fractional Kratzer model. The effect of the fractional order para meter is investigated on the variations of the interaction potential. The normalized eigen energies are calculated as well as normalized B(E2) transitions probabilities at different values of the fractional order parameter. Our results reproduced well the experimen tal data for 126Xe, 128Xe, 130Xe, 192Pt, 194Pt and 196Pt atomic nuclei, and are found to be improved in comparison with other related theoretical models.