Calculations of the probability densities and energies of the ground states for α-cluster nuclei ¹²С(3α), ¹⁶О(4α), ²⁰Nе(5α), ²⁴Мg(6α), ²⁸Si(7α) and for nuclear molecules ⁹Ве(2α + n), ¹⁰Ве(2α + 2n), ¹⁰В(2α + n + р), ¹⁰С(2α + 2р), ¹¹В(2α + 2n + р), ¹¹С(2α + n + 2р), ¹³С(Зα + n), ¹⁴С(Зα + 2n), ¹³Nе(Зα + р), ¹⁴Nе(Зα + n + р), ¹⁴О (Зα + 2р) were performed by the Feynman Path Integral method using parallel computing based on NVIDIA CUDA technology. In addition, the ^ЗН, ^ЗНе, ⁹Ве(2α + n), ¹²С(3α) nuclei were considered in three-body hyperspherical harmonics formalism with a new effective method of solving hyperradial equations using cubic spline interpolation.

The spatial structures of the ground states of the nuclei ¹²C and ¹⁶O correspond to simple geometric shapes, a regular triangle and a tetrahedron, respectively, with wide α-cluster clouds in their vertices. The ²⁴Mg nucleus in the ground state has the shape of a pair of equal regular triangles with wide α-cluster clouds in their vertices as well. The nuclei ^{9, 10}Ве, ^{10, 11}В, ^{10, 11}С have molecular structure with valence neutrons and/or protons between two α-clusters. The nuclei ^{13, 14}С, ^{13, 14}N, ¹⁴O have molecular structure with valence neutrons and/or protons near the center of the regular triangle with wide α-cluster clouds in vertices.

(to be nominated for the JINR Prize 2022)