Systematic study of suppression of complete fusion in reactions involving weakly bound nuclei at energies above the Coulomb barrier

Abstract

Complete fusion excitation functions of reactions involving breakup are studied by using the empirical coupled-channel (ECC) model with breakup effects considered. An exponential function with two parameters is adopted to describe the prompt-breakup probability in the ECC model. These two parameters are fixed by fitting the measured prompt-breakup probability or the complete fusion cross sections. The suppression of complete fusion at energies above the Coulomb barrier is studied by comparing the data with the predictions from the ECC model without the breakup channel considered. The results show that the suppression of complete fusion are roughly independent of the target for the reactions involving the same projectile.

Systematics of capture and fusion dynamics in heavy-ion collisions

“…[76], we extended our ECC model by including the breakup effect which is described by a prompt-breakup probability function. For the reactions induced by 9 Be, the extended ECC model together with the measured prompt-breakup probabilities can give a good description of the complete fusion cross sections at above-barrier energies [76].…”

“…We will show that this ECC model can give a reasonably adequate and systematic description of the capture cross sections. Note that this model has been used to study the CC effects in fusion reactions 32 S + 94,96 Zr and 40 Ca + 94,96 Zr [75] and extended to describe the complete fusion cross sections for the reactions involving weakly bound nuclei at above-barrier energies [76].…”

Study of The Breakup Channel Effect on The Semiclassical and Quantum Mechanical Calculations for The Light and Medium System

“…where H is the intrinsic Hamiltonian, ⁄ is the kinetic energy operator of the relative motion between the projectile and target nuclei, and V (£, r) is the interaction potential [23][24][25].Alder-Winther (AW) method represent the base of the semiclassical approach, which simplify studying Coulomb excitations of fusion reactions to be called (CDCC) method that include the excitations of the breakup channel [26][27][28][29]. The quantum mechanical treatment was represented by solving the timedependent Schrödinger equation.…”

“…( ) . The final population of channel in a collision with angular momentum is ( ) | ( )| and the cross section is given by [24,25],…”

“…) and ( ) is the fusion probability and the radial wave function respectively for the -partial-wave in channel υ, is the absolute value of the optical potential imaginary part in this channel arising from fusion. The fusion cross section in multichannel scattering is [25,31],…”