The BECQUEREL experiment is aimed at studying ensembles of α-particles formed during the fragmentation of relativistic nuclei in a nuclear track emulsion (NTE). Acceleration of Xenon nuclei up to an energy of 3.8 GeV per nucleon and extraction of their beam made it possible to take practical steps to expose NTE near the accelerator and at the area of the flagship facility BM@N. The exposure at the BM@N setup, CR-39 solid-state track detector (SSTD) plate was additionally used. SSTD allow determining the exact parameters of the fluence of nuclei in NTE, where the uniformity of tracks is critical. The operation of the injector at the SOChI station made it possible to test the capabilities of the SSTD CR-39 and Mylar for reconstructing the Xe^+(26-28) ion beam profile with the energy of 3.2 MeV per nucleon.