PHYSICAL REVIEW C 103, 064605 (2021)
6,7
Li +
27
Al reactions close to and below the Coulomb barrier
J. Kühtreiber, P. Hille, O. Forstner ,
*
H. Friedmann ,
†
A. Pavlik , and A. Priller
University of Vienna, Faculty of Physics,1090 Wien, Austria
(Received 30 March 2020; revised 11 February 2021; accepted 6 May 2021; published 9 June 2021)
The reactions
6,7
Li +
27
Al were compared with the reactions
17,18
O +
16
O which form the same compound
nuclei
33,34
S. Cross-section data for the reactions
6,7
Li +
27
Al were derived from experimentally determined
γ -ray production cross sections for transitions in several residual nuclei. For the reactions
17,18
O +
16
O experi-
mental results from the literature were used. It could be shown that the weakly bound projectiles
6,7
Li undergo
not only fusion processes, but also breakup reactions quite in contrast to the tightly bound projectiles
18
O
and
17
O, respectively. Especially below the Coulomb barrier such direct reactions play an important role in
competition to complete fusion. Calculations based on the statistical model agree well with the available data
for
17,18
O +
16
O, but failed to represent the behavior of the experimentally determined production cross sections
for the evaporation residues in the reactions
6,7
Li +
27
Al. But coupled-channel codes and calculations based on
a nucleus-nucleus proximity potential are able to reproduce the energy dependence of the complete fusion cross
sections.
DOI: 10.1103/PhysRevC.103.064605
I. INTRODUCTION
Radioactive beams have opened the way to regions in the
nuclide chart which could not be reached by other methods
(see, e.g., Geissel et al. [1]). Since radioactive projectiles
are often weakly bound, breakup before complete fusion is
a matter of interest. Additionally, nuclear reactions close to
and below the Coulomb barrier (CB) are of eminent impor-
tance during the formation of the elements by astrophysical
processes. In many cases the cross sections are too small
to be experimentally determined. Therefore, it is necessary
to understand the mechanism of these nuclear reactions to
estimate the excitation functions by model calculations. It is
not yet clear if for weakly bound projectiles a breakup or
a partial fusion contribute substantially to nuclear reaction
close and below the CB. Tripathi et al. [2] as well as the
measurements of Dasgupta et al. [3](
7
Li +
209
Bi), Figueira
et al. [4](
6,7
Li +
144
Sm), and Rath et al. [5](
6
Li +
144
Sm)
support these ideas. A relative large number of experiments
deal with the question of complete fusion (CF) suppression
close to and below the CB concerning reactions of light parti-
cles with different types of target material. Here only a few
of these publications are mentioned. Hinde et al. [6] also
observed a fusion suppression but depending on the atomic
number of the target. Interestingly some authors, such as
Parkar et al. [7](
7
Li +
12
C), Mukherjee and co-workers [8]
(
6,7
Li +
16
O), [9](
6
Li +
12,13
C), [10](
12
C +
7
Li), and Ray
et al. [11](
6,7
Li +
24
Mg) did not see any fusion suppression.
These different behaviors may be explained by a decreasing
*
Present address: University Jena, Institut für Optik und Quan-
tenelektronik, 07743 Jena, Germany.
†
Corresponding author: harry.friedmann@univie.ac.at
breakup effect with a decreasing atomic number of the target
as observed by Hinde et al. [6] and Pakou et al. [12]. De
Barbará et al. [13] did not observe fusion suppression in
the
9
Be +
27
Al system and for
6
Li +
27
Al. For
7
Li +
27
Al de
Barbará et al. state a possible fusion suppression but do not
draw final conclusions due to problems with the analysis of
this data set. Gasques et al. [14] found a systematic suppres-
sion of weakly bound nuclei
6,7
Li,
9
Be, and
10,11
B on targets
of
208
Pb and
209
Bi as a function of breakup threshold energy.
However, most often significant fusion enhancement close
or below the CB could be observed by neutron-rich projec-
tiles [15–17]. Microscopic calculations are unable to explain
this behavior. More insight into the reaction process may be
deduced from an isotopic chain of weakly bound nuclei with
increasing neutron number (e.g., Refs. [18,19] and similar
work). The reactions
7
Li +
27
Al and
6
Li +
27
Al are of special
interest to improve the database for such projectiles: These
data should give better insight whether the fusion process
is preceded or competed by a breakup process (see Canto
et al. [20]). To study these reactions experimentally,
6,7
Li
ions were accelerated to laboratory energies between 6 and
13 MeV and the formed reaction products in an
27
Al foil were
measured by γ -ray spectrometry. The excitation functions for
the formation of the most important nuclear reaction products
were determined and compared with the results of investiga-
tions on the reaction of the tightly bound nuclei
17,18
O +
16
O
(Thomas et al. [21]) leading to the same compound nuclei
33,34
S. Since in this case both reaction partners are magic
nuclei it can be expected that breakup is of minor importance
and CF is the dominant process. For a meaningful comparison
it is necessary to choose beam energies in order to get over-
lapping excitation energies for the compound nuclei produced
in both reactions. Obviously, the spin and parity distributions
in the highly excited compound nuclei will not be identical.
2469-9985/2021/103(6)/064605(8) 064605-1 ©2021 American Physical Society