The analytic expressions of radial matrix elements , and 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.