Direct Radiative Capture of Neutron in Drip-Line Nuclei

The analytic expressions of radial matrix elements < l_c = 0|r|l_h = 1>, < l_c = 1|r|l_h = 0> and < l_c = 1|r|l_h = 2> in a finite square-well potential are derived.Based on these analytic expressions of radial matrix elements the neutron direct radiative capture (DRC) processes leading to bound p-orbit from incident s-wave, and leading to s- and d-orbits from incident p-wave are discussed. For the DRC processes leading to loosely bound orbits, the dominant contributions to the radial matrix elements come from the outer region of nuclear potential radius R.