Experimental data concerning isospin transport phenomena for the systems ${}^{80}\mathrm{Kr}+{}^{40,48}\mathrm{Ca}$ at 35 MeV/nucleon are presented. Data have been collected with four FAZIA blocks; this data set is the same analyzed in S. Piantelli et al., Phys. Rev. C 101, 034613 (2020). The isotopic composition of the QuasiProjectile residue (up to $Z$ around 25) and of its decay products in the two reactions are compared, finding a neutron enrichment when the target is ${}^{48}\mathrm{Ca}$. The isotopic composition of the emitted light charged particles (LCP) and intermediate mass fragments (IMF) was also investigated in different windows of velocity. The obtained results have been compared with the prediction of the transport model AMD followed by the statistical code GEMINI (used as an afterburner), with different recipes for the density dependence of the symmetry energy term in the nuclear equation of state. A weak indication in favor of a stiff symmetry energy emerges when the fragments emitted at midvelocity are examined.

The neutron-proton (n-p) equilibration process in ${}^{48}\mathrm{Ca}+{}^{40}\mathrm{Ca}$ at 35 MeV/nucleon bombarding energy is experimentally estimated by means of the isospin transport ratio. Experimental data are collected with a subset of the FAZIA telescope array, which permits us to determine the $Z$ and $N$ of detected fragments. For the first time, the quasiprojectile (QP) evaporative channel is compared with the QP breakup one in a homogeneous and consistent way, pointing to comparable n-p equilibration, which suggests a close interaction time between projectile and target independently of the exit channel. Moreover, in the QP evaporative channel n-p equilibration is compared with the prediction of the antisymmetrized molecular dynamics model coupled with the Gemini statistical model as an afterburner, showing a higher probability of proton and neutron transfers in the simulation with respect to the experimental data.

Isospin transport ratio is a powerful method to estimate the neutron-proton (n-p) equilibration in heavy-ion collisions, and extensively used to obtain information on the asy-stiffness of the nuclear equation of state. In fact such a ratio is expected to bypass any perturbations introducing a linear transformation of the chosen observable. In particular, it is supposed to overcome contributions due to emission, either of dynamical or statistical nature, from the primary fragments formed during the collisions. In this paper we explore the validity of this assumption, looking at the quasiprojectile n-p ratio ($N/Z$) in peripheral and semiperipheral events for $\mathrm{Ca}+\mathrm{Ca}$ reactions at $35\mathrm{MeV}/\mathrm{nucleon}$, simulated via the antisymmetrized molecular dynamics transport model, coupled to different statistical decay codes. The statistical de-excitation of the primary fragments introduces a linear transformation at relatively high excitation energies (above $2\mathrm{MeV}/\mathrm{nucleon}$) when the residue approaches the evaporation attractor line, while some effect is produced at lower excitation energies due to the occurrence of some nonlinearities. As for fast emissions after the end of the projectile-target interaction it is shown that they introduce a nonlinear transformation too.

The reaction ${}^{12}\mathrm{C}+{}^{13}\mathrm{C}$ at $95\mathrm{MeV}$ bombarding energy is studied using the Garfield + Ring Counter apparatus located at the INFN Laboratori Nazionali di Legnaro. In this paper we want to investigate the de-excitation of ${}^{25}\mathrm{Mg}$ aiming both at a new stringent test of the statistical description of nuclear decay and a direct comparison with the decay of the system ${}^{24}\mathrm{Mg}$ formed through ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ reactions previously studied. Thanks to the large acceptance of the detector and to its good fragment identification capabilities, we could apply stringent selections on fusion-evaporation events, requiring their completeness in charge. The main decay features of the evaporation residues and of the emitted light particles are overall well described by a pure statistical model; however, as for the case of the previously studied ${}^{24}\mathrm{Mg}$, we observed some deviations in the branching ratios, in particular for those chains involving only the evaporation of $\alpha$ particles. From this point of view the behavior of the ${}^{24}\mathrm{Mg}$ and ${}^{25}\mathrm{Mg}$ decay cases appear to be rather similar. An attempt to obtain a full mass balance even without neutron detection is also discussed.