1990•Journal of Physics G Nuclear and Particle PhysicsOpen access

Shape transition of light Sm isotopes in the interacting boson model

J. B. Gupta

Abstract

A comparison of the efficacy of the SU(5) and O(6) limits of the interacting boson model in reproducing the spectra of the neutron deficient 136-140 Sm isotopes is presented. The role of the ( beta , gamma ) deformation inducing nu 0 and nu 2 terms in the IBM-1 Hamiltonian for generating the proper level spacings of the odd-even spins in the K pi =2 + band and up to high spins I pi <14 + in the yrast band is illustrated, yielding results much better than obtained previously in IBM-2. The calculated B(E2) values and the B(E2) ratios are used to test the validity of the IBM empirical fits.

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Key concepts: Yrast, Physics, Interacting boson model, Spins, Hamiltonian (control theory), Boson, Isotope, Spectral line