Microscopic optical potential for He6

Abstract

The microscopic optical potential for $\phantom{\rule{0.16em}{0ex}}^{6}\mathrm{He}$ with no free parameters is obtained by folding the microscopic optical potentials of its constituent nucleons with the internal wave function of $\phantom{\rule{0.28em}{0ex}}^{6}\mathrm{He}$. We use the isospin-dependent nucleon microscopic optical potential, which is derived by using the Green's function method through the nuclear matter approximation and the local density approximation based on the Skyrme nucleon-nucleon effective interaction. The internal wave function of $^{6}\mathrm{He}$ is described in a harmonic-oscillator form. The $^{6}\mathrm{He}$ microscopic optical potential is used to calculate the reaction cross sections and elastic-scattering angular distributions for target nuclei in the mass range $12\ensuremath{\le}\mathrm{A}\ensuremath{\le}209$ at incident energies up to 350 MeV. The results are compared with the experimental data and those calculated by a global phenomenological optical potential; in most cases, the microscopic optical potential reproduces the experimental data less well than the global potential. The sensitivity of scattering to the potentials as a function of radius has been investigated by using the notch perturbation method. The investigation shows that the scattering is sensitive to the optical potential in the nuclear surface region. It is concluded from the discussion that the microscopic optical potential can be improved by increasing the surface absorption contribution.