Effect on incomplete fusion of breakup fragments of the weakly bound projectile ⁸B in reactions with targets ²⁷Al, ²⁸Si, ²⁰⁸Pb and ²⁰⁹Bi

Departamento de Aceleradores y Estudio de Materiales, Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, C.P. 11801, México, D.F.

^* e-mail: arturo.gomez@inin.gob.mx

Published online: 7 August 2024

Abstract

Calculations of total, complete and incomplete fusion cross sections are presented as function of the incident energy of the weakly bound projectile ⁸B in reactions with light ²⁷Al, ²⁸Si and heavy ²⁰⁸Pb and ²⁰⁹Bi mass targets. In particular, the relative effect of the breakup fragments; proton and ⁷Be of ⁸B on incomplete fusion is determined. Also, the effect of an additional proton to the nuclear potential of the targets ²⁸Si, ²⁰⁹Bi respect to ²⁷Al and ²⁰⁸Pb is determined as a function of the incident energy. It is found that the proton absorption becomes more important than for ⁷Be for light targets for energies around and above the barrier, however, the inverse occurs for heavy targets. The calculations are performed with two different methods. The CDCC to determine the relative projectile-target radial wave functions which subsequently are used in the angular momentum-dependent model of fusion probabilities to calculate complete, incomplete and total fusion.