Investigations on the study of entrance channel effects in synthesis of superheavy elements using Cr-induced fusion reactions

2020 ◽  
Vol 29 (08) ◽  
pp. 2050061
Author(s):  
H. C. Manjunatha ◽  
N. Manjunatha ◽  
L. Seenappa

We have investigated the synthesis of superheavy elements using Cr-induced fusion reactions. We have studied all possible Cr-induced fusion reactions for the synthesis of super heavy nuclei [Formula: see text]. We have achieved the semi-empirical formula for fusion barrier heights ([Formula: see text]), positions ([Formula: see text]), curvature of the inverted parabola ([Formula: see text]) of Cr-induced fusion reactions for the synthesis of superheavy nuclei with atomic number range [Formula: see text]. The proposed formula produces fusion barriers of Cr-induced fusion reactions for the synthesis of super heavy nuclei with the simple inputs of mass number ([Formula: see text]) and atomic number ([Formula: see text]) of projectile-targets. We have also identified the targets for Cr-induced fusion reactions to synthesis superheavy elements of [Formula: see text]. We have also studied the entrance channel parameters such as mass asymmetry ([Formula: see text]), charge asymmetry ([Formula: see text]), coulomb interaction parameter ([Formula: see text]’), Businaro–Gallone mass asymmetry parameter ([Formula: see text]) and Isospin asymmetry parameter [[Formula: see text]]. We hope that our predictions may be the guide for the future experiments in the synthesis of more superheavy elements using [Formula: see text]Cr-induced fusion reactions.

2004 ◽  
Vol 13 (01) ◽  
pp. 261-267 ◽  
Author(s):  
W. J. ŚWIATECKI ◽  
K. SIWEK-WILCZYŃSKA ◽  
J. WILCZYŃSKI

The fusion cross sections are considered to be given by the product of three factors: the cross section to overcome the Coulomb barrier, the probability for the resulting system to reach the compound nucleus configuration by diffusion, and the probability for the compound nucleus to survive fission. The first and third factors are treated by more or less conventional equations, and the second by Brownian diffusion in one dimension. Adjusting one free parameter in the theory one can reproduce the twelve measured cross sections to within a factor of two.


2017 ◽  
Vol 26 (03) ◽  
pp. 1750008 ◽  
Author(s):  
Norah A M Alsaif ◽  
Shahidan Radiman ◽  
Saad M Saleh Ahmed

The accurate calculations of the cluster formation model (CFM) have been extended to determine the alpha cluster preformation probability for the three even–even superheavy isotopes (Hs, Ds and Cn) with atomic number [Formula: see text] and 112 and neutron numbers [Formula: see text] in the mass region from 252 to 300. According to the hypothesized CFM, the calculations of the formation energy and surface energy, which depended on differences of binding energies are crucial for determining the realistic values of the preformation probability. Our results showed reasonable agreement with the results of previous work for the heavy nuclei. In addition, realistic values of the preformation probability certified that CFM can successfully be used to calculate the alpha cluster preformation probability for other wide range of superheavy nuclei.


2010 ◽  
Vol 34 (10) ◽  
pp. 1602-1608
Author(s):  
Bian Bao-An ◽  
Zhang Feng-Shou

Author(s):  
R. N. SAGAIDAK ◽  
V. I. CHEPIGIN ◽  
A. P. KABACHENKO ◽  
O. N. MALYSHEV ◽  
YU. TS. OGANESSIAN ◽  
...  

2020 ◽  
Vol 17 (7) ◽  
pp. 909-915
Author(s):  
H. C. Manjunatha ◽  
M. G. Srinivas ◽  
N. Sowmya ◽  
P. S. Damodara Gupta ◽  
Alfred Cecil Raj

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1603-1615
Author(s):  
SAI-SAI DU ◽  
FENG-SHOU ZHANG

The entrance channel effect, mainly involved the mass asymmetry, the neutron-excess and the collision orientation of the combined system, are presented by summarizing the recent theoretical results about the fusion reactions leading to the same compound nuclei and the neutron-rich fusion reactions in the synthesis of heavy and superheavy nuclei through various models. It is concluded that the system with large mass asymmetry and neutron-rich nuclear reactions is favorable for the compound nucleus formation.


2007 ◽  
Vol 16 (02) ◽  
pp. 483-490 ◽  
Author(s):  
K. SIWEK-WILCZYŃSKA ◽  
I. SKWIRA-CHALOT ◽  
J. WILCZYŃSKI

By using well tested standard statistical model for calculating survival probabilities of super-heavy compound nuclei, Psurv, and reliably predicted capture cross sections σcap, "empirical" values of the fusion hindrance Pfus = σsyn/(σcap · Psurv) have been determined from the formation cross sections σsyn for production of super-heavy nuclei of 102 ≤ Z ≤ 113 measured at GSI Darmstadt and RIKEN. So determined fusion hindrance can be well reproduced with a simple model based on the Smoluchowski diffusion equation applied to describe thermal shape fluctuations of the fusing system. An applicability of this model for a wider class of fusing systems could be verified on data from an interesting experiment on the synthesis of isotopes of Hs (Z = 108) in the 136 Xe + 136 Xe reaction, scheduled to be carried out in Dubna this year. Synthesis cross sections for 269-271 Hs isotopes, strongly reduced by the fusion hindrance effect in this symmetric fusion reaction, are predicted.


2010 ◽  
Vol 81 (6) ◽  
Author(s):  
A. S. Umar ◽  
V. E. Oberacker ◽  
J. A. Maruhn ◽  
P.-G. Reinhard

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