Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space

Starting from the Bonn potential, the relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for nuclear matter in the full Dirac space, which provides a unique way to determine the single-particle potentials and avoids the approximations applied in the RBHF calculations in the Dirac space with positive-energy states (PESs) only. The uncertainties of the RBHF calculations in the Dirac space with PESs only are investigated, and the importance of RBHF calculations in the full Dirac space is demonstrated. In the RBHF calculations in the full Dirac space, the empirical saturation properties of symmetric nuclear matter are reproduced, and the obtained equation of state agrees with the results based on the relativistic Green's function approach up to the saturation density.

Figure 1

Binding energy per nucleon $E/A$ of symmetric nuclear matter as a function of the Fermi momentum $k_F$ calculated by the RBHF theory in the full Dirac space with the potential Bonn-A [54]. Our result (red solid line) is compared with Ref. [53] (blue dashed line). The shaded area indicates the empirical values.

Figure 2

Momentum dependence of the single-particle potentials $U_S$, $U_0$, and $U_V$ calculated by the RBHF theory in this work at $k_F=1.34{\text{fm}}^{-1}$ with the potential Bonn-A [54]. Also shown is the results obtained by the projection method in Ref. [39].

Figure 3

Momentum dependence of the single-particle potentials $U_S$, $U_0$, and $U_V$ calculated by the RBHF theory with NESs (red solid line) at $k_F=1.35{\text{fm}}^{-1}$ with the potential Bonn-A [54]. The shaded areas denote the uncertainties of the RBHF results without NESs (see text for more details).

Figure 4

Density dependence of the single-particle potentials $U_S$, $U_0$, and $U_V$ at the Fermi momentum calculated by the RBHF theory with NESs (red solid line) with the potential Bonn-A [54]. The shaded areas denote the uncertainties of the RBHF calculations without NESs (see text for more details).

Figure 5

Binding energy per nucleon $E/A$ of symmetric nuclear matter as a function of the Fermi momentum $k_F$ calculated by the RBHF theory in the full Dirac space (red solid line) using the potential Bonn-A [54]. The shaded area denotes the uncertainties of the RBHF calculations without NESs (see text for more details).