https://doi.org/10.1140/epja/s10050-022-00758-y
Regular Article - Theoretical Physics
Study of spatial structures in 
-cluster nuclei
1
Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, 6 Joliot Curie Street, 141980, Dubna, Moscow Region, Russia
2
Department of Nuclear physics, Dubna State University, 19 Universitetskaya Street, 141982, Dubna, Moscow Region, Russia
Received:
21
October
2020
Accepted:
1
June
2022
Published online:
4
July
2022
Calculations of the probability densities and energies of the ground states for -cluster nuclei 
C (3), 
O (4), 
Ne (
), 
Mg (
), 
Si (
) and for nuclear molecules 
Be (
), 
Be (
), B (
), C (
), 
B (
), C (
) were performed by the Feynman Path Integral method using parallel computing based on NVIDIA CUDA technology. In addition, C (3) was considered in three-body hyperspherical harmonics formalism with a new effective method of solving hyperradial equation using cubic spline interpolation. The spatial structures of the ground states of C and O correspond to simple geometric shapes, a regular triangle and a tetrahedron, respectively, with wide -cluster clouds in their vertices. The Mg nucleus has the shape of a pair of equal regular triangles with wide -cluster clouds in their vertices as well. The nuclei Be, Be, B, C, B, C have molecular structure with valence neutrons and/or protons between two -clusters.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
