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Title: Renormalization persistency of the tensor force in nuclei
Authors: Tsunoda, Naofumi ×
Otsuka, Taka
Tsukiyama, Koshiroh
Hjorth-Jensen, Morten #
Issue Date: 2011
Publisher: Published for the American Physical Society by the American Institute of Physics
Series Title: Physical Review C, Nuclear Physics vol:84 issue:4
Article number: 044322
Abstract: In this work we analyze the tensor-force component of effective interactions appropriate for nuclear shell-model
studies, with particular emphasis on the monopole term of the interactions. Standard nucleon-nucleon (
NN
)
interactions such as AV8’ and
χ
N
3
LO are tailored to shell-model studies by employing
V
low
k
techniques to
handle the short-range repulsion of the
NN
interactions and by applying many-body perturbation theory to
incorporate in-medium effects. We show, via numerical studies of effective interactions for the
sd
and the
pf
shells, that the tensor-force contribution to the monopole term of the effective interaction is barely changed
by these renormalization procedures, resulting in almost the same monopole term as the one of the bare
NN
interactions. We propose to call this feature
renormalization persistency
of the tensor force, as it is a remarkable
property of the renormalization and should have many interesting consequences in nuclear systems. For higher
multipole terms, this feature is maintained to a somewhat smaller extent. We present general intuitive explanations
for the renormalization persistency of the tensor force as well as analyses of core-polarization terms in perturbation
theory. The central force does not exhibit a similar renormalization persistency.
ISSN: 2469-9985
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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