Global optical potential for nucleus-nucleus systems from 50 MeV/u to 400 MeV/u

Abstract

We present a new global optical potential (GOP) for nucleus-nucleus systems, including neutron-rich and proton-rich isotopes, in the energy range of $50\sim 400$ MeV/u. The GOP is derived from the microscopic folding model with the complex $G$-matrix interaction CEG07 and the global density presented by S{\~ a}o Paulo group. The folding model well accounts for realistic complex optical potentials of nucleus-nucleus systems and reproduces the existing elastic scattering data for stable heavy-ion projectiles at incident energies above 50 MeV/u. We then calculate the folding-model potentials (FMPs) for projectiles of even-even isotopes, ${}^{8-22}$C, ${}^{12-24}$O, ${}^{16-38}$Ne, ${}^{20-40}$Mg, ${}^{22-48}$Si, ${}^{26-52}$S, ${}^{30-62}$Ar, and ${}^{34-70}$Ca, scattered by stable target nuclei of ${}^{12}$C, ${}^{16}$O, ${}^{28}$Si, ${}^{40}$Ca ${}^{58}$Ni, ${}^{90}$Zr, ${}^{120}$Sn, and ${}^{208}$Pb at the incident energy of 50, 60, 70, 80, 100, 120, 140, 160, 180, 200, 250, 300, 350, and 400 MeV/u. The calculated FMP is represented, with a sufficient accuracy, by a linear combination of 10-range Gaussian functions. The expansion coefficients depend on the incident energy, the projectile and target mass numbers and the projectile atomic number, while the range parameters are taken to depend only on the projectile and target mass numbers. The adequate mass region of the present GOP by the global density is inspected in comparison with FMP by realistic density. The full set of the range parameters and the coefficients for all the projectile-target combinations at each incident energy are provided on a permanent open-access website together with a Fortran program for calculating the microscopic-basis GOP (MGOP) for a desired projectile nucleus by the spline interpolation over the incident energy and the target mass number.

arXiv comment25 pages, 13 figures

References in corpus (12)

• Nuclear Ground-State Masses and Deformations
• Toward a global description of the nucleus-nucleus interaction
• Systematic analysis of reaction cross sections of carbon isotopes
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Spectroscopy of 32Ne and the Island of Inversion
• Optical model potentials involving loosely bound p-shell nuclei around 10 MeV/A
• Probing the weakly-bound neutron orbit of ${}^{31}$Ne with total reaction and one-neutron removal cross sections
• The Brieva-Rook Localization of the Microscopic Nucleon-Nucleus Potential
• Elastic and total reaction cross sections of oxygen isotopes in Glauber theory
• Repulsive nature of optical potentials for high-energy heavy-ion scattering
• Global Optical Potential for the Elastic Scattering of ${}^6$He at Low Energies
• Structure of and E2 transition in ${}^{16}$C in a ${}^{14}$C+n+n model

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