Systematics of fusion barriers obtained with a modified proximity potential

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Abstract

A systematic semiempirical analysis is presented for excitation functions for complete fusion of complex nuclei. Barrier penetration is included as is the $l$ dependence of the fusion radius. The general form of the proximity potential is assumed and small but important parameter adjustments are made to achieve a fit to experimental data. A correction is presented of $s$-wave barrier heights and radii for complete fusion. For ${Z}_{t}{Z}_{p}<500$ these fusion radii are greater than the empirical reaction radii obtained at energies well above the barrier. This result implies weak surface absorption for ${Z}_{t}{Z}_{p}<500$ and the contrary for higher ${Z}_{t}{Z}_{p}$.NUCLEAR REACTIONS Semiempirical analysis of complete fusion excitation functions with a modified proximity potential; correlation between $s$-wave barrier heights and fusion radii; fusion radii exceed empirical interaction radii for ${Z}_{t}{Z}_{p}<500$ and the contrary.

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