Analytical parametrization of fusion barriers using proximity potentials

Using the three versions of proximity potentials, namely proximity 1977, proximity 1988, and proximity 2000, we present a pocket formula for fusion barrier heights and positions. This was achieved by analyzing as many as $400$ reactions with mass between $15$ and $296$. Our parametrized formula can reproduced the exact barrier heights and positions within an accuracy of $\ifmmode\pm\else\textpm\fi{}1%$. A comparison with the experimental data is also in good agreement.

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