A study of nuclear reactions involving the \(^{30}\textrm{F}\) weakly bound projectile is presented. This nucleus is modeled as \(^{30}\textrm{F} \rightarrow {}^{29}\textrm{F}+n\) , where the core nucleus \(^{29}\textrm{F}\) is a three-body weakly bound system ( \(^{29}\textrm{F} \rightarrow {}^{27}\textrm{F}+n+n\) ). To study the role of this weakly bound core nucleus on the breakup observables, we proceed as follows. First, the \(^{29}\textrm{F}\) nucleus is treated as a di-neutron system ( \(^{29}\textrm{F} \rightarrow {}^{27}\textrm{F}+2n\) ), such that its density is \(\rho _{^{29}\textrm{F}}(r) =\rho _{^{27}\textrm{F}}(r)+\rho _{2n}(r)\) , where the di-neutron density \(\rho _{2n}(r)\) is obtained from the ground state wave function of the \(^{27}\textrm{F}+2n\) two-body system. The density \(\rho _{^{29}\textrm{F}}(r)\) is then used to construct a double folding potential for the \(^{29}\textrm{F}\) -target system. Second, the density \(\rho _{^{29}\textrm{F}}(r)\) is obtained from the two parameter Fermi density distribution model. The \(^{29}\textrm{F}\) -target nuclear potential is constructed within the double folding formalism by means of the DDM3Y1 and CDM3Y4 density-dependent nucleon-nucleon interactions. Analyzing the breakup cross sections, it is found that the weakly bound nature of the \(^{29}\textrm{F}\) does not play any meaningful role in the breakup process of the \(^{30}\textrm{F}\) nucleus on \(^{40}\textrm{Ar}\) and \(^{86}\) Kr noble gas targets. The novelty of this study is that it takes into account the binding energy of a weakly bound core nucleus in the breakup process of a weakly bound projectile nucleus. The proposed approach can be used to investigate the role of the breakup static effect on the suppression of the Coulomb-nuclear interference peak in the elastic scattering cross section.
