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Gamma-Gamma Energy Correlations and Moment of Inertia in Barium Nuclei

A two-dimensional γ-ray coincidence spectrum is recorded using several NaI (T1) detectors during the bombardment of a 124Sn target with 118 MeV 12C ions. Essentially four residual nuclei are produced, namely 128,129,139Ba and 126Xe. After subtraction of an uncorrelated background from the coincidence matrix, a correlated spectrum is obtained. This spectrum exhibits a valley along the 45° diagonal from about Eγ ≃ 0.5 MeV to Eγ ≃ 1.35 MeV, reflecting the rotational properties of the residual nuclei. The width of the valley decreases up to a transition energy Eγ ≃ 0.8 MeV. This width is directly related to the moment of inertia 𝒥band(2) = dI/dω and is found to be in good agreement with the deduced values from known ground-band energies, although the nucleus probably decays through many different paths in this energy region. For the regions 800 < Eγ < 1050 keV and 1200 keV < Eγ < 1300 keV, the width of the valley remains nearly constant and the moment of inertia (2𝒥band(2)/ℏ2 = 80 and 95 MeV-1, respectively) is close to the rigid-body value. A "bridge" across the valley at Eγ = 1.12 MeV is interpreted as being due to band crossing. Cranked shell model calculations indicate that the aligned angular momentum at this rotational frequency may result from the occupation of the highest aligned h9/2 or i13/2 neutron orbitals.