Nuclear mean field from chiral pion-nucleon dynamics

Details Nuclear mean field from chiral pion-nucleon dynamics Nuclear mean field from chiral pion-nucleon dynamics

2001-08-06

arxiv.org/abs/nucl-th/0108010v1

Nucl.Phys. A700 (2002) 343-358

Physics

Nuclear Physics

Nuclear Theory

13 pages, 5 figures, submitted to Nuclear Physics A

Scientific paper

10.1016/S0375-9474(01)01314-8

Using the two-loop approximation of chiral perturbation theory, we calculate the momentum and density dependent single particle potential of nucleons in isospin-symmetric nuclear matter. The contributions from one- and two-pion exchange diagrams give rise to a potential depth for a nucleon at rest of $U(0,k_{f0}) = -53.2 $MeV at saturation density. The momentum dependence of the real part of the single particle potential $U(p,k_{f0})$ is non-monotonic and can be translated into a mean effective nucleon mass of $\bar M^* \simeq 0.8 M$. The imaginary part of the single particle potential $W(p,k_f)$ is generated to that order entirely by iterated one-pion exchange. The resulting half width of a nucleon hole-state at the bottom of the Fermi sea comes out as $W(0,k_{f0})=29.7 $MeV. The basic theorems of Hugenholtz-Van-Hove and Luttinger are satisfied in our perturbative two-loop calculation of the nuclear mean field.

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