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CALCULATIONS OF CROSS SECTIONS FOR THE SYNTHESIS OF SUPER-HEAVY NUCLEI IN COLD FUSION REACTIONS

W.J. Świa̧teckiNuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USAK. Siwek-WilczyńskaInstitute of Experimental Physics, Warsaw University, Hoża 69, 00-861 Warsaw, PolandJ. WilczyńskíInstitute for Nuclear Studies, 05-400 Otwock-Świerk, Poland
2004en
ABI

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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.

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