Nuclear mass density effect of 27Al and 28Si nuclei in nuclear reactions

Abstract

In a recent study, diffuseness parameters of $a_m=0.62\mathrm{fm}$ and $a_m=0.65\mathrm{fm}$ were proposed for the nuclear matter density of ${}^{28}$Si and ${}^{27}$Al, respectively, based on the two-parameter Fermi distribution. These values exceed the systematic value $a_m=0.56\mathrm{fm}$, commonly adopted in the São Paulo potential. To assess the validity of the proposed parameters, we performed coupled-channel calculations for the systems ${}^9$Be+${}^{28}$Si, ${}^{14}$N+${}^{28}$Si, ${}^{13}$C+${}^{28}$Si, ${}^9$Be+${}^{27}$Al, ${}^{14}$N+${}^{27}$Al, and ${}^{28}$Si+${}^{27}$Al at energies 2-3 times the Coulomb barrier. The analyses were carried out using the FRESCO code, with the Sao Paulo Potential and Woods-Saxon potential used as the optical potential. A good description of elastic angular distributions was achieved with the systematic nuclear matter density diffuseness value of $a_m=0.56\mathrm{fm}$.