Research of thermonuclear reactions is a great interest to modern nuclear physics. In this connection, in this work, we investigated one of the main reactions of the pp-cycle within the framework of the cluster model. For calculations, we used one of the methods of the cluster model, namely, the algebraic version of the method of resonating groups in which the studied reaction of scattering of an alpha particle with 3He was disassembled and presented in the form of two interacting clusters. The modified Hasegawa-Nagata potential was also used, which describes the behavior of the nucleon-nucleon interaction. The aim of the research is to identify common patterns in coupled and resonant states. The main theoretical calculation of the studied resonance and coupled states was carried out using a special program "2cl_SpectrPhases.exe". The obtained theoretical results were compared with experimental data.