Evaporation and fission decay of Er158 composite nuclei within the statistical model

Abstract

Light charged particles emitted by the compound nucleus $^{158}\mathrm{Er}$ produced in the reaction $^{32}\mathrm{S}$ $(180 \mathrm{MeV})+^{126}\mathrm{Te}$, at the excitation energy ${E}_{x}=92$ MeV, have been measured at Laboratori Nazionali di Legnaro in coincidence with fission fragments and evaporation residues. The $4\ensuremath{\pi}$ detector array $8\ensuremath{\pi}\mathrm{LP}$ coupled to a system of parallel-plate avalanche counters to detect evaporation residues has been used. Data have been analyzed in the framework of the statistical model of evaporation with the code pace2_n11. This enlarged version of the code pace2 has been used to reproduce the large set of observables measured in the fusion-evaporation and fusion-fission channels along with experimental prescission neutron multiplicity and fission cross section taken from literature. It is found that the simultaneous reproduction of the prescission neutron, proton, and $\ensuremath{\alpha}$-particle multiplicities can be obtained with zero fission delay without dynamical effects. However, the same set of model input parameters does not allow us to reproduce proton and $\ensuremath{\alpha}$-particle multiplicities in the evaporation channel. Extensive calculations, with different sets of parameters, show the limits of the statistical model in reproducing the whole set of data. This work evidences the importance of measuring a large set of observables in order to obtain a reliable description of the decay of the compound nucleus, and in particular of the fission process.