Correlation between nuclear charge radii of Ti and reaction cross sections for p-Ti.

The nuclear root-mean-square charge radii and nuclear density distributions have been calculated in the framework of relativistic self-consistent mean-field models based on density-dependent meson-exchange relativistic energy density functional for even isotopes of Ti (A = 44-56). The calculations agree well with available laser spectroscopic measurements for 44,46,48,50Ti, and results for neutron-rich isotopes are reported. The semimicroscopic proton optical potentials for 44-56Ti have been derived by folding the target matter density with the extended Jeukenne-Lejeune-Mahaux energy- and density-dependent intemucleon interaction and are used to calculate the differential elastic scattering and reaction cross sections at 65 MeV. The calculated differential cross sections reproduce the corresponding experimental values for stable even isotopes, and predictions are presented for 44,52,54,56Ti. The calculations reveal a prominent kink at the N = 28 shell closure observed in the variation of reaction cross sections, consistent with mean-square charge radii systematics in the Ti isotopic chain. [ABSTRACT FROM AUTHOR]