https://doi.org/10.1140/epja/s10050-020-00139-3
Regular Article –Theoretical Physics
Analysis of the reaction cross sections of
and
at intermediate energies using microscopic optical potential and Glauber model
Department of Mathematics and Theoretical Physics, AEA, Cairo, Egypt
Received:
14
January
2020
Accepted:
6
April
2020
Published online:
18
May
2020
The reaction cross sections of and
are calculated at intermediate energies using microscopic complex optical potential (OP) derived from Brueckner G-matrix. Glauber model (GM) with and without in-medium effects are also used for comparison. Different models for the density distributions such as deformed Fermi density, whose deformation parameters and radii are determined by RMF calculations, a harmonic oscillator (HO), harmonic oscillator plus Gaussian (HOG) and two-parameters Fermi (2pF) are used. It is found that
can be described by HO, HOG, and 2pF densities with the same matter radius
2.75 fm, while
can be described by HOG (
core and one neutron in the
state) with matter radius 2.88 fm, when using the OP in the calculation of the reaction cross section, which indicates the halo structure of
. Glauber model with in-medium effects predicted matter radius 2.8 fm for both
and
. A clear halo structure is shown in the extracted density distribution of
predicted by both the OP and GM models, while for
a neutron skin, in the range 0.3-0.4 fm, which is smaller than of
, is predicted without a long extended tail, as that predicted for
, which indicates the absence of halo structure for
, in contrast with most of the other predictions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020