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Title: Relativistic mean field models and nucleon-nucleon interactions
Authors: Serra, M ×
Otsuka, Taka
Akaishi, Y
Ring, P
Hirose, S #
Issue Date: 2005
Publisher: PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
Series Title: Progress of Theoretical Physics vol:113 issue:5 pages:1009-1046
Abstract: We investigate the connection between relativistic mean field models and the bare
nucleon-nucleon interaction by using a realistic interaction in the nuclear medium. Start-
ing from a nonrelativistic bare potential and by employing a G-matrix formalism we derive
an effective interaction in the nuclear mediu
m that depends on its density. We show that
its medium- and long-range components can
be described to a good extent by an effective
density-dependent one-boson-exchange (O
BE) potential. For a good fit of the OBE to the
G-matrix potential the following degrees of freedom have been found to be necessary: an
isoscalar scalar
S
(
σ
-meson), an isoscalar vector
V
(
ω
-meson), an isovector scalar
TS
(
δ
-
meson), an isovector vector
TV
(
ρ
-meson), and an isovector pseudoscalar
PS
(
π
-meson)
Yukawa field. This allows us to extract the mass and the coupling strength of the various
mesons at different densities of nuclear matte
r. In such a way, we investigate the density-
dependence of these parameters and the influenc
e of many-body and multi-scattering effects.
We find that with increasing density of the nuclear medium
m
σ
is constant to a good ap-
proximation,
m
δ
decreases quite strongly, while
m
ω
and
m
ρ
decrease rather weakly. The
coupling strengths of the fields also show a rat
her weak decreasing tendency. Furthermore
it turns out that the extracted values of the m
eson fields masses and couplings are rather
consistent with the parameters of effective mes
ons of recent RMF phenomenologies. Finally,
we find that the tensor force of the bare nucleon
-nucleon interaction is essential to explain
the dominance of the
σ
-fi
ISSN: 0033-068X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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