Reaction-Mechanism Study in the1f−2pShell of (O16,C12) Four-Nucleon-Transfer Reaction

The (${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$) four-nucleon-transfer reaction has been performed on a ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}$ target using the 46-MeV ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ beam of the FN tandem Van de Graaff at Saclay. The study of the reaction ${}_{}{}^{54}{}_{}{}^{}\mathrm{F}\mathrm{e}-$ (${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$ shows that the four-nucleon transfer occurs via a direct surface reaction, well described by the quasielastic process formalism due to Frahn and Venter, which is based on the diffractional model. The transfer-reaction cross sections are peaked at the grazing angle where the elastic scattering begins to deviate from the pure Rutherford law. A distorted-wave Born-approximation investigation of nuclear properties of levels reached by (${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$) four-nucleon transfer has been performed using the SETILL code based on the generator-coordinate framework. The $Q$-value dependence of the cross section, as well as the configuration mixing effects, has been estimated. The cases of other $1f-2p$-shell nuclei have been also investigated.