Global optical model potential for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>projectiles

A global optical model potential (GDP08) for $^{3}\mathrm{He}$ projectiles has been obtained by simultaneously fitting the elastic scattering data of $^{3}\mathrm{He}$ from targets of $40\ensuremath{\leqslant}{A}_{T}\ensuremath{\leqslant}209$ at incident energies of $30\ensuremath{\leqslant}{E}_{\mathrm{inc}}\ensuremath{\leqslant}217$ MeV. Uncertainties and correlation coefficients between the global potential parameters were obtained by using the bootstrap statistical method. GDP08 was found to satisfactorily account for the elastic scattering of $^{3}\mathrm{H}$ as well, which makes it a global optical potential for the $A=3$ nuclei. Optical model calculations using the GDP08 global potential are compared with the experimental angular distributions of differential cross sections for $^{3}\mathrm{He}$-nucleus and $^{3}\mathrm{H}$-nucleus scattering from different targets of $6\ensuremath{\leqslant}{A}_{T}\ensuremath{\leqslant}232$ at incident energies of $4\ensuremath{\leqslant}{E}_{\mathrm{inc}}\ensuremath{\leqslant}450$ MeV. The optical potential for the doubly-magic nucleus $^{40}\mathrm{Ca}$, the low-energy correction to the real potential for nuclei with $58\ensuremath{\lesssim}{A}_{T}\ensuremath{\lesssim}120$ at ${E}_{\mathrm{inc}}&lt;30$ MeV, the comparison with double-folding model calculations and the CH89 potential, and the spin-orbit potential parameters are discussed.

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