The empirical coupled-channel model with the new analytical penetration formula for fusion cross-sections

The new analytical barrier penetration formula proposed by Li et al. [Int. J. Mod. Phys. E 19 (2010) 359] for potential barriers containing a long-range Coulomb interaction is adopted in the empirical coupled-channel (ECC) model for calculating fusion cross-sections. As compared with the Hill-Wheeler (HW) formula based on the parabolic approximation, this formula is more appropriate for the barrier penetration with incident energies much lower than the Coulomb barrier. The calculated results show that the ECC model with the new barrier penetration formula can describe the fusion cross-section data well, especially for light systems at energies much lower than the Coulomb barrier. Then the systematics of the difference between the ECC calculation with the new penetration formula and that with the HW formula is investigated. The results show that the difference between the results with the HW formula and the new penetration formula is less than one order of magnitude at E-c.m.>0.89V(B).