Abstract
The cross section for producing a heavy reaction product, , can be represented by the equation σ_{EVR} = \sum_{J=0}^{J_\max} σ_{capture} (E_{c.m.},J) P_{CN} (E^*,J) W_{sur}(E^*,J), where is the capture cross section at center of mass energy E and spin J. P is the probability that the projectile-target system will evolve from the contact configuration inside the fission saddle point to form a completely fused system rather than re-separating (quasifission, fast fission). W is the probability that the completely fused system will de-excite by neutron emission rather than fission. I discuss results of experiments that characterize these quantities in heavy element synthesis reactions. I also discuss the possibilities of synthesizing heavy nuclei using damped collisions and reactions using radioactive beams.
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