Fusion-Evaporation Cross Sections in Reactions Leading to Production of Super-Heavy Nuclei

Author(s):  
K. Siwek-Wilczyńska
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.


2008 ◽  
Vol 17 (09) ◽  
pp. 1937-1944 ◽  
Author(s):  
E. G. ZHAO ◽  
N. WANG ◽  
Z. Q. FENG ◽  
J. Q. LI ◽  
S. G. ZHOU ◽  
...  

Based on a modified di-nuclear system model in which the nucleon transfer is coupled with the dissipation of energy and angular momentum, the isotopic dependence and the orientation (between the target and the projectile) effects on the evaporation residue cross section for synthesizing super-heavy nuclei are investigated. The calculated results indicate that the cross sections shows an odd-even effect and does not change much with increasing neutron number of the target. The influences of deformation and relative orientation of the projectile and target are also discussed. Our results show that the waist to waist orientation is in favor of the formation of super-heavy compound nuclei.


2008 ◽  
Vol 57 (3) ◽  
pp. 1569
Author(s):  
Huang Ming-Hui ◽  
Gan Zai-Guo ◽  
Fan Hong-Mei ◽  
Su Peng-Yuan ◽  
Ma Long ◽  
...  

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.


2018 ◽  
Vol 182 ◽  
pp. 02054 ◽  
Author(s):  
Sigurd Hofmann

Professor Walter Greiner, our mentor, colleague, and friend, passed away in the age of eighty. During his lifetime, the search for elements beyond uranium started and elements up to the so far heaviest one with atomic number 118 were discovered. In this talk I will present a short history from early searches for ‘trans-uraniums’ up to the production and safe identification of shell-stabilized ‘Super-Heavy Nuclei’ (SHN). The nuclear shell model reveals that these nuclei should be located in a region with closed shells for the protons at Z = 114, 120 or 126 and for the neutrons at N = 184. The outstanding aim of experimental investigations is the exploration of this region of spherical SHN. Systematic studies of heavy ion reactions for the synthesis of SHN revealed production cross-sections which reached values down to one picobarn and even below for the heaviest species. The systematics of measured cross-sections can be understood only on the basis of relatively high fission barriers as predicted for nuclei in and around the island of SHN. A key role in answering some of the open questions plays the synthesis of isotopes of element 120. Attempts aiming for synthesizing this element at the velocity filter SHIP will be reported.


Science ◽  
2021 ◽  
Vol 371 (6526) ◽  
pp. 260-264 ◽  
Author(s):  
Junki Tanaka ◽  
Zaihong Yang ◽  
Stefan Typel ◽  
Satoshi Adachi ◽  
Shiwei Bai ◽  
...  

The surface of neutron-rich heavy nuclei, with a neutron skin created by excess neutrons, provides an important terrestrial model system to study dilute neutron-rich matter. By using quasi-free α cluster–knockout reactions, we obtained direct experimental evidence for the formation of α clusters at the surface of neutron-rich tin isotopes. The observed monotonous decrease of the reaction cross sections with increasing mass number, in excellent agreement with the theoretical prediction, implies a tight interplay between α-cluster formation and the neutron skin. This result, in turn, calls for a revision of the correlation between the neutron-skin thickness and the density dependence of the symmetry energy, which is essential for understanding neutron stars. Our result also provides a natural explanation for the origin of α particles in α decay.


1975 ◽  
Vol 252 (1) ◽  
pp. 187-207 ◽  
Author(s):  
B. Tamain ◽  
C. Ngô ◽  
J. Péter ◽  
F. Hanappe
Keyword(s):  

1968 ◽  
Vol 119 (3) ◽  
pp. 673-690 ◽  
Author(s):  
P.J. Daly ◽  
B.M. Seppelt ◽  
P.F.D. Shaw

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