Product PCN Psurv or the "reduced" evaporation residue cross section σER/σfusion for "hot" fusion reactions studied with the dynamical cluster-decay model

The product PCNPsurv of compound nucleus (CN) fusion probability P-CN and survival probability P-surv is calculated to determine the reduced evaporation residue cross section sigma(ER)/sigma(fusion), denoted sigma(reduced)(ER), with (total) fusion cross section sigma(fusion) given as a sum of CN-formation cross section sigma(CN) and non-CN cross section sigma(nCN) for each reaction, where sigma(CN) is the sum of evaporation residue cross section sigma(ER) and fusion-fission cross section sigma(ff) and sigma(nCN), if not measured, is estimated empirically as the difference between measured and calculated sigma(fusion). Our calculations of P-CN and P-surv, based on the dynamical cluster-decay model, were successfully made for some 17 "hot" fusion reactions, forming different CN of mass numbers A(CN) similar to 100-300, with deformations of nuclei up to hexadecapole deformations and "compact" orientations for both coplanar (Phi(c) = 0 degrees) and noncoplanar (Phi(c) not equal 0 degrees) configurations, using various different nuclear interaction potentials. Interesting variations of sigma(reduced)(ER) with CN excitation energy E*, fissility parameter chi, CN mass A(CN), and Coulomb parameter Z(1)Z(2) show that, independent of entrance channel, different isotopes of CN, and nuclear interaction potentials used, the dominant quantity in the product is P-surv, which classifies all the studied CN into three groups of weakly fissioning, radioactive, and strongly fissioning superheavy nuclei, with relative magnitudes of sigma(reduced)(ER) similar to 1, similar to 10(-6), and similar to 10(-11), which, like for P-CN, get further grouped in two dependencies of (i) weakly fissioning and strongly fissioning superheavy nuclei decreasing with increasing E* and (ii) radioactive nuclei increasing with increasing E*.