Köln 2004 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 13: Poster Session: Theory
HK 13.4: Poster
Tuesday, March 9, 2004, 13:30–15:30, Foyer
Nuclear energy density functional from chiral pion-nucleon dynamics: Isovector spin-orbit terms — •Norbert Kaiser — Physik Department T39, Technische Universität München, D-85747 Garching, Germany
We extend a recent calculation of the nuclear energy density functional in
the
systematic framework of chiral perturbation theory by computing the
isovector
spin-orbit terms: (∇→ρp− ∇→ρn)·(Jp→−Jn→) Gso(kf)+ (Jp→−Jn→)2 GJ(kf). The calculation
includes the one-pion exchange Fock diagram and the iterated one-pion
exchange
Hartree and Fock diagrams. From these few leading order contributions in
the
small momentum expansion one obtains already a good equation of state of
isospin-symmetric nuclear matter. We find that the parameterfree results
for
the (density-dependent) strength functions Gso(kf) and GJ(kf)
agree
fairly well with that of phenomenological Skyrme forces for densities ρ
>
ρ0/10. At very low densities a strong variation of the strength
functions
Gso(kf) and GJ(kf) with density sets in. This has to do with
chiral
singularities mπ−1 and the presence of two competing small mass
scales
kf and mπ. The novel density dependencies of Gso(kf) and
GJ(kf) as predicted by our parameterfree (leading order) calculation
should
be examined in nuclear structure calculations.
N. Kaiser, S. Fritsch, W. Weise, Nucl. Phys. A724 (2003) 47.
N. Kaiser, Phys. Rev. C68, 014323 (2003).
Work supported in part by BMBF, GSI and DFG.