Abstract
Abstract A well-deformed nucleus in an excited state at high angular momentum decays towards the yrast line mostly by statistical dipole and rotational quadrupole emission. We study the interplay of these two modes and show that the cooling can be viewed as a drift-diffusion process in the two-dimensional space of energy and angular momentum. The associated master equation is solved numerically and accurate analytic approximations are derived. It is found that within the first quarter of the cascade, the dependence on the initial condition is lost, and from then on the γ-flow follows a generic behavior. The average and the variance of the heat energy then display a quadratic and cubic dependence on the angular momentum, respectively. Moreover, the flow obeys simple scaling laws, which can easily be applied to different regions of mass and deformation. The results are compared to the observed intensities of low-lying rotational bands.
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