content_image/343010.jpg content_image/343011.jpg content_image/343012.jpg content_image/343013.jpg content_image/343016.jpg content_image/343014.jpg content_image/343015.jpg content_image/343017.jpg content_image/343018.jpg content_image/343019.jpg content_image/343020.jpg content_image/343021.jpg
with the energy density 

which is composed of a kinetic part 

an interaction part 

<img src='content_image/343010.jpg'>

<img src='content_image/343011.jpg'>

<img src='content_image/343012.jpg'>

with the local densities and currents 

and an electromagnetic part 

<img src='content_image/343013.jpg'>

<img src='content_image/343016.jpg'>

<img src='content_image/343014.jpg'>

<img src='content_image/343015.jpg'>

Minimizing the energy density functional Eq. (9) with respect to ¯ ψ$_{k}$ , one obtains the Dirac equation for the single nucleons 

<img src='content_image/343017.jpg'>

The single-particle effective Hamiltonian contains local scalar S ( r ) and vector V $^{µ}$( r ) poten- tials, 

<img src='content_image/343018.jpg'>

where the nucleon scalar-isoscalar Σ$_{S}$, vector-isoscalar Σ $^{µ}$, and vector-isovector ⃗ Σ µ T V self- energies are given in terms of the various densities, 

<img src='content_image/343019.jpg'>

<img src='content_image/343020.jpg'>

<img src='content_image/343021.jpg'>

