Abstract

The problem of alpha decay of deformed even nuclei is treated by assuming the barrier to be the usual anisotropic electrostatic potential superimposed by a nonlocal alpha -nuclear potential. With certain assumptions a formula for the hindrance factor (H.F.)l is derived. From straightforward calculations, and with a single value of epsilon 8 for different nuclei, the values of (H.F.)8 are found to be within 50% of the empirical values, whereas the values from the shell-model theory or from a purely Coulomb or static barrier hypothesis show large discrepancies. Similarly, for l<or=6, overall agreement for an average epsilon l is better than obtained previously. For the best-fit values of an epsilon l varying slightly with nuclear mass A and charge Z one obtains exact agreement (within 10%) with all the empirical (H.F.)l values discussed.

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