Kinetic energy and spin-orbit splitting in nuclei near neutron drip line

• Published in: Nuclear physics. A 2001-02, Vol.683 (1-4), p.255-265
• Main Authors: Hamamoto, I., Lukyanov, S.V., Zhang, X.Z.
• Format: Article
• Language: English
• ISSN: 0375-9474
• DOI: 10.1016/S0375-9474(00)00443-7

Two important ingredients of nuclear shell-structure, kinetic energy and spin–orbit splitting, are studied as a function of orbital angular momenta ℓ and binding energies, when binding energies of neutrons decrease towards zero. If we use the standard parameters of the Woods–Saxon potential in β stable nuclei and approach the limit of zero binding energy from 10 MeV, the spin–orbit splitting for n=1 orbitals decreases considerably for ℓ=1, while for ℓ>2 little decreasing is observed in the limit. In contrast, the kinetic energy decreases considerably for ℓ≲3. The smaller the ℓ values of orbitals, the larger the decreasing rate of both kinetic energy and spin–orbit splitting. The dependence of the above observation on the diffuseness of potentials is studied.