PHYSICAL REVIEW C 105, 014609 (2022)
Systematic study of fusion suppression for tightly bound projectiles at above-barrier energies
M. Shariq Asnain ,
1, *
Mohd. Shuaib ,
1
Ishfaq Majeed,
1
Manoj Kumar Sharma,
2
Vijay R. Sharma,
3
Abhishek Yadav,
4
Devendra P. Singh,
5
Pushpendra P. Singh,
6
Sushil Kumar,
7
R. Kumar,
7
B. P. Singh,
1 , †
and R. Prasad
1
1
Accelerator Laboratory, Department of Physics, Aligarh Muslim University, Aligarh 202 002, Uttar Pradesh, India
2
Department of Physics, Shri Varshney College, Aligarh 202 001, Uttar Pradesh, India
3
Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Mexico City 04510, Mexico
4
Department of Physics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi 110025, India
5
Department of Physics, University of Petroleum and Energy Studies, Dehradun 248 007, Uttarakhand, India
6
Department of Physics, Indian Institute of Technology, Ropar 140 001, Punjab, India
7
Inter University Accelerator Centre, Aruna Asaf Ali Marg, New Delhi 110067, India
(Received 19 November 2021; accepted 20 December 2021; published 10 January 2022)
The present work aims to explore the effects of projectile breakup on fusion cross section at energies near
the Coulomb barrier to well above it. The complete fusion cross section for the strongly bound non-α-cluster
projectile
14
N in interaction with a
181
Ta target was obtained by summing the experimentally measured channel-
by-channel cross section data of evaporated residues. The obtained total fusion cross section was compared with
the theoretical code CCFULL and the results were found to be consistent with each other. Further, the experimental
fusion function data on
181
Ta target with
14
N projectile were deduced and compared with those obtained for other
strongly bound projectiles, viz.,
12,13
C,
16
O, and
19
F, in order to get some systematics in fusion reactions. The
analysis of experimental fusion functions was performed within the framework of a benchmark curve called
the universal fusion function (UFF). A suppression of about 5–25% with respect to UFF was observed for the
presently studied systems at energies above the Coulomb barrier, indicating that the suppression is essentially
due to the prompt breakup of the projectiles and is a strong function of breakup threshold of projectiles. The
magnitude of such suppression was found to be lower for
14
N projectile as compared to other strongly bound
projectiles. Moreover, an interesting exponential relation between the experimentally deduced suppression factor
and the breakup threshold of the projectile was obtained.
DOI: 10.1103/PhysRevC.105.014609
I. INTRODUCTION
The study of heavy-ion (HI) induced fusion processes, in
order to understand different mechanisms involved in these
reactions, has been a topic of interest in nuclear physics. With
varying projectile energies, the complex nature and behavior
of projectile and target nuclei makes it possible to characterize
the reaction mechanism and may help to study the possibility
of producing superheavy elements (SHE) in the laboratory
[1–5]. Recent studies on HI interactions indicate the presence
of incomplete fusion (ICF) processes along with the complete
fusion (CF) even at low energies ≈4–7 MeV/A [6–12]. In the
case of CF, the target hugs the entire projectile with all the
incoming partial waves of input angular momenta ℓ<ℓ
crit
,
contributing to the formation of a highly excited composite
system. In the case of ICF reactions, the projectile breaks up
into fragment(s) and one of the fragment(s) fuses with the
target nucleus, whereas the remnant continues to move in the
beam direction without any interaction. In such cases, the fu-
sion of the entire projectile with the target nucleus is hindered
for angular momentum values ℓ>ℓ
crit
. Experimentally, the
analysis of fusion processes in the case of HI reactions is
*
asnainshariq@gmail.com
†
bpsinghamu@gmail.com
rather delicate due to the competition of other reaction mecha-
nisms such as transfer, breakup, preequilibrium reactions, etc.
Further, the breakup and the preequilibrium emission may
become important [13] at relatively higher energies and has
attracted a great deal of interest in recent years [14,15]. In the
literature, investigations carried out for HI fusion reactions
suggest that the effective potential V
eff
(r ), which is the sum
of nuclear, Coulomb and centrifugal potential, is sensitive
around the nuclear surface region and is given as
V
eff
(r ,ℓ) = V
nucl
(r ) + V
Coul
(r ) + V
cent
(r ,ℓ), (1)
where the terms V
nucl
(r ), V
Coul
(r ), and V
cent
(r ,ℓ) represents
the attractive nuclear, repulsive Coulomb, and repulsive cen-
trifugal potentials respectively. A typical variation of effective
potential V
eff
(r ) with relative separation (r ) between projectile
and target nucleus for different angular momentum (ℓ) values
is shown in Fig. 1. As can be seen from this figure, there
is an attractive pocket for lower values of ℓ, which is called
the fusion pocket, where the complete fusion of projectile
and target nucleus takes place. However, for higher values
of ℓ, this pocket starts vanishing and fusion does not occur.
Hence, in order to provide sustainable angular momentum for
fusion to occur, the projectile may break up into fragments
and lead to the ICF process. The presence of ICF reactions
in HI collisions at these energies has inspired an interest to
2469-9985/2022/105(1)/014609(9) 014609-1 ©2022 American Physical Society