Direct Radiative Capture of Neutron in Drip-Line Nuclei

Abstract

The analytic expressions of radial matrix elements⟨ℓc = 0|r|ℓh = 1⟩, ⟨ℓc = 1|r|ℓh = 0⟩ and ⟨ℓc = 1|r|ℓh = 2⟩ in a finite square-well potential are derived.Based on these analytic expressions of radial matrix elements, theneutron direct radiative capture (DRC) processes leading to boundp-orbit from incident s-wave, and leading to s- and d-orbits fromincident p-wave are discussed. For the DRC processes leading toloosely bound orbits, the dominant contributions to the radialmatrix elements come from the outer region of nuclear potential radiusR.