PHYSICAL REVIEW C 87, 014619 (2013)
Fusion cross sections of
8
B +
28
Si at near-barrier energies
A. Pakou,
1
E. Stiliaris,
2
D. Pierroutsakou,
3
N. Alamanos,
4
A. Boiano,
3
C. Boiano,
5
D. Filipescu,
6
T. Glodariu,
6
J. Grebosz,
7
A. Guglielmetti,
5
M. La Commara,
8
M. Mazzocco,
9
C. Parascandolo,
9
K. Rusek,
10
A. M. S´ anchez-Ben´ ıtez,
11
C. Signorini,
9
O. Sgouros,
1
F. Soramel,
9
V. Soukeras,
1
E. Strano,
9
L. Stroe,
6
N. Toniolo,
12
D. Torresi,
9
and K. Zerva
1
1
Department of Physics and HINP, The University of Ioannina, 45110 Ioannina, Greece
2
Institute of Accelerating Systems and Applications and Department of Physics, University of Athens, Athens, Greece
3
INFN – Sezione di Napoli, via Cinthia, I-80126 Napoli, Italy
4
CEA-Saclay, DAPNIA-SPhN, Gif-sur-Yvette, France
5
Universita’ degli Studi di Milano and INFN – Sezione di Milano, via Celoria 16, I-20133 Milano, Italy
6
“Horia Hulubei” National Institute of Physics and Nuclear Engineering, Bucharest-Magurele, Romania
7
IFJ-PAN, Krakow, Poland
8
Dipartimento di Scienze Fisiche and INFN – Sezione di Napoli, via Cinthia, I-80126 Napoli, Italy
9
Dipartimento di Fisica and INFN – Sezione di Padova, via F. Marzolo 8, I-35131 Padova, Italy
10
Heavy Ion Laboratory, University of Warsaw, Pasteura 5a, 02-093 Warsaw, Poland
11
Departamento de F´ ısica Aplicada, Universidad de Huelva, E-21071 Huelva, Spain
12
INFN – Sezione di Padova, Padova, Italy
(Received 12 November 2012; revised manuscript received 9 January 2013; published 28 January 2013)
Fusion cross sections were measured for
8
B +
28
Si at near-barrier energies by detecting the alpha particles
produced in the evaporation process. The results present a small suppression with respect to one-barrier penetration
model predictions, which could be attributed to incomplete fusion processes and do not differ appreciably from
fusion cross sections obtained with weakly bound but stable projectiles on the same target. Comprehensive
comparisons of fusion cross sections at sub- and near-barrier energies with various light weakly bound projectiles
support a simple tunneling probability with slight modifications due to coupled-channel effects.
DOI: 10.1103/PhysRevC.87.014619 PACS number(s): 25.60.Pj, 25.70.−z
I. INTRODUCTION
Fusion of two nuclei can in principle be understood as
a quantum tunneling effect of two structureless objects in
a potential depending only on the distance between their
centers [1]. Under this scenario it can be described by one-
barrier penetration models (BPM) [2]. However, at near-barrier
energies and for complex nuclei, the influence of static and
dynamic effects, relevant to the detailed structure of both
projectile and target nuclei [3] and the reaction mechanisms
involved [4], strongly alter this image, and fusion cross
sections below and near barrier energies can be interpreted
via coupled-channel formalisms [5,6]. It is expected that for
exotic nuclei the influence of a neutron (proton) halo or skin
will enrich our knowledge relevant to the structure and reaction
mechanisms [7–11] but also will lead to the appropriate
evidence for producing drip-line nuclei and superheavy ele-
ments. While our knowledge on fusion with neutron-rich light
projectiles starts to build up [12–18], studies with proton-rich
nuclei are scarce. Only one fusion measurement at sub-barrier
energies on
8
B +
58
Ni was recently reported [19].
8
B is a proton drip-line beta-decaying nucleus, attracting
strong interest due to its role in the production of high-energy
neutrinos in the sun [20–23] and its unusual structure with
a possible proton halo [24,25]. The last issue is still in an
exploratory stage since the Coulomb force may prevent the
growth of the halo at distances out of the Coulomb radius.
Therefore it is interesting to test the behavior of this nucleus
in a fusion process and compare it with that presented by
other weakly bound nuclei on various targets. It should be
noted that the first fusion measurement reported for both sub-
and near-barrier energies [19] very large fusion cross sections,
compatible with a BPM prediction only after an elongation
of the interaction radius by ∼26%. This experimental finding
should be confronted also for other targets.
In general, studies with
8
B are scarce, as this beam is
produced in flight only in a few laboratories and with low
intensities. Therefore special tools had to be invoked to
perform a fusion measurement. Adopting the idea of total
reaction cross-section measurements, where a silicon detector
is used as an active target and the detector itself acts as a
calorimeter, we have proceeded with a fusion measurement of
8
B +
28
Si at near-barrier energies between 20 and 35 MeV.
This type of technique was developed by Warner and collab-
orators [26–28] for total reaction cross-section measurements
but it was applied mainly for intermediate energies for stable
and exotic nuclei [29–33]. Very recently it was adopted for
near-barrier energies with lithium projectiles [34,35]. The
results were promising and gave the boost for applications
with radioactive beams.
The present fusion measurement is based on the assumption
that, during the collision of
8
B with silicon, neither the breakup
nor a transfer process can produce alpha particles, but an
evaporation process can. The transfer of three protons and
a neutron to silicon is considered highly improbable, and in
any case the high Q value of the reaction (Q = 12.3 MeV)
guarantees the discrimination between alphas from transfer
and alphas from fusion. A transfer of a deuteron with Q =
3.26 MeV leads to
6
Be which in turn could give alphas with
energies overlapping the fusion ones. However, according to
preliminary calculations this probability is very small, and the
014619-1 0556-2813/2013/87(1)/014619(8) ©2013 American Physical Society