PHYSICAL REVIEW C 106, 024614 (2022)
Fusion studies in
12
C
+
182,184,186
W
reactions at energies below and near the Coulomb barrier
S. Sanila ,
*
A. M. Vinodkumar ,
†
and B. R. S. Babu
Department of Physics, University of Calicut, Kerala 673635, India
N. Madhavan, S. Nath , J. Gehlot, Rohan Biswas , Chandra Kumar, and Gonika
Nuclear Physics Group, Inter University Accelerator Centre, New Delhi 110067, India
Anjali Rani , A. Parihari , and Dinesh Viswakarma
Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
Shoaib Noor
Department of Physics, Thapar University, Patiala 147004, India
E. Prasad
Department of Physics, School of Physical Sciences, Central University of Kerala, The Aswini Hills, Periya 671320, India
(Received 30 April 2022; accepted 26 July 2022; published 23 August 2022)
Background: The coupled-channels model has been highly successful in interpreting experimental subbarrier
fusion. The statistical model framework has traditionally been used to explain the basic features of composite
system de-excitation in the above Coulomb barrier region. However, in
12
C-induced reactions with
182,186
W,
measured fusion cross sections are significantly lower than those predicted by various theoretical models and by
fusion systematics.
Purpose: To investigate the dynamics of heavy ion fusion at energies below and above the Coulomb barrier in
the
12
C-induced reactions.
Method: A mass spectrometer was used to study the evaporation residues for the
12
C +
182,184,186
W reactions.
The measurements ranged from 12% below to 45% above the Coulomb barrier energies. The measured fusion
cross sections are compared with coupled channels and statistical model calculations.
Results: The measured fusion cross sections for
12
C +
182,184,186
W reactions show reasonably good agreement
with coupled-channel calculations. Also, evaporation residue cross sections for
12
C +
182,184,186
W reactions in
the present experiment along with the fission cross sections from literature are described by statistical model
calculations.
Conclusions: We successfully explain the previously reported discrepancy between fusion measurements and
calculations based on various theoretical models and by fusion systematics for
12
C +
182,186
W reactions.
DOI: 10.1103/PhysRevC.106.024614
I. INTRODUCTION
Heavy ion fusion studies can provide important insights
into the reaction dynamics and decay properties of excited
compound nuclei (CN) [1–11]. Nucleons are exchanged be-
tween the target and projectile during the mechanism of
compound nucleus formation. As a result, energy and an-
gular momentum are transferred from the relative motion
to the intrinsic degrees of freedom of the composite sys-
tem [12]. The formed compound nucleus is in a highly
excited state and decays via the emission of light particles
and γ -rays with competition from binary fission processes.
Evaporation residue (ER) measurement is a powerful method
*
sanila_dop@uoc.ac.in
†
amv@uoc.ac.in
for studying fusion processes in mass asymmetric projectile-
target systems. Fission fragments must be taken into account
when calculating total fusion cross sections and understand-
ing the dynamics of the CN de-excitation. The statistical
model framework has typically been used to explain the
de-excitation of the composite system with the inclusion of
fission processes. Even though the fundamental concepts of
composite system de-excitation are relatively well understood
by statistical model calculations, some discrepancies and/or
ambiguities remain [13–15].
It is well known that the one-dimensional potential barrier
penetration model (1D-BPM) is quite successful in repro-
ducing the measured fusion cross sections at above barrier
energies. The increase in subbarrier fusion cross sections in
comparison to 1D-BPM is well explained by coupled-channel
calculations, which include the coupling of low-lying states
and the static deformation and/or vibrational degrees of
2469-9985/2022/106(2)/024614(11) 024614-1 ©2022 American Physical Society