A model for explaining fusion suppression using classical trajectory method

Abstract

We adopt a semi-classical approach for explanation of projectile breakup and above barrier fusion suppression for the reactions ⁶Li+¹⁵²Sm and ⁶Li+¹⁴⁴Sm. The cut-off impact parameter for fusion is determined by employing quantum mechanical ideas. Within this cut-off impact parameter for fusion, the fraction of projectiles undergoing breakup is determined using the method of classical trajectory in two-dimensions. For obtaining the initial conditions of the equations of motion, a simplified model of the ⁶Li nucleus has been proposed. We introduce a simple formula for explanation of fusion suppression. We find excellent agreement between the experimental and calculated fusion cross section. A slight modification of the above formula for fusion suppression is also proposed for a three-dimensional model.