Study of the structure of few-body and alpha-cluster nuclei based on new theoretical methods

26.09.2022 – FLNR Scientific Seminar, 15-30, Blokhintsev lecture hall and in Zoom

Speaker: V. V. Samarin, FLNR JINR

(to be nominated for the JINR Prize 2022)

Calculations of the probability densities and energies of the ground states for α-cluster nuclei ¹²C(3α), ¹⁶O(4α), ²⁰Ne(5α), ²⁴Mg(6α), ²⁸Si(7α) and for nuclear molecules ⁹Be(2α + n), ¹⁰Be(2α + 2n), ¹⁰B(2α + n + p), ¹⁰C(2α + 2p), ¹¹B(2α + 2n + p), ¹¹C(2α + n + 2p), ¹³C(3α + n), ¹⁴C(3α + 2n), ¹³Ne(3α + p), ¹⁴Ne(3α + n+ p), ¹⁴O(3α+2p) were performed by the Feynman Path Integral method using parallel computing based on NVIDIA CUDA technology. In addition, the ³H, ³He, ⁹Be(2α + n), ¹²C(3α) nuclei were considered in three-body hyperspherical harmonics formalism with a new eective 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 ^9,10Be, ^10,11B, ^10,11C have molecular structure with valence neutrons and/or protons between two α-clusters. The nuclei ^13,14C, ^13,14N, ¹⁴O have molecular structure with valence neutrons and/or protons near the center of the regular triangle with wide α-cluster clouds in vertices.