Study of the universal function of nuclear proximity potential from density-dependent nucleon–nucleon interaction

The universal function of proximity potential model is systematically studied from the double folding model with density-dependent nucleon–nucleon interaction (CDM3Y6) by analyzing several hundreds of fusion reaction systems with mass numbers from light nuclei to heavy nuclei. The analytical formula of universal function is obtained at s0>−1 by fitting all of the calculated values. Using this formula we calculate the Coulomb barrier heights for fusion reactions in comparison with the values of the experimental data and Prox77. It is shown that presently obtained universal function in proximity potential model can reproduce the Coulomb barrier heights.