content_image/342284.jpg content_image/342290.jpg
(7) as well as the relations between the centrifugal barrier and the spin-orbit potential will be investigated. 

<img src='content_image/342284.jpg'>

The effective potentials V for p , d , f , and g states in the negative energy spectrum of $^{16}$O calculated by DDRHF with PKO1 are shown in Fig. 4, together with the Hartree part V D (dash-dotted line). As seen in the Schr¨ odinger-type equation Eq. (7), the effective potential V is composed of two parts, V D the Hartree potential from the direct terms, and V E the equivalent local potential from the exchange terms. The state dependence of the effective potential V comes from the contribution of the exchange terms. 

Corresponding to the nodes of the dominant component F ( r ), there exist fluctuations in the effective potentials V , which is brought in by the localization of non-local terms X and Y in Eq. (4). In addition, the contributions of Fock terms to the effective potentials tend to be slightly weaker when E$_{av}$ approaches the continuum limit, or for larger orbital angular momenta ˜ l . 

Comparing the left and right panels of Fig. 4, it is found that the effective potentials at r = 0 are different between the spin partner states. This is due to the different asymptotic behaviors of the radial Dirac wave functions for spin doublets at r = 0, 

<img src='content_image/342290.jpg'>

