2012/08/16 by Yoshiko Kanada-En’yo, Yoshiko Kanada-En'yo, Kanada-En'yo, Yoshiko +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.quant-gas #cond-mat.str-el #nucl-th
paper · pdf · doi:10.48550/arxiv.1208.3275
20 pages, 8 figures
arxiv created 2012/08/16 · openalex publication_date 2012/08/16 · arxiv updated 2012/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
α-cluster correlations in the ground states of 12C and 16O are studied. Because of the α correlations, the intrinsic states of 12C and 16O have triangle and tetrahedral shapes, respectively. The deformations are regarded as spontaneous symmetry breaking of rotational invariance, and the resultant oscillating surface density is associated with a density wave (DW) state caused by the instability of Fermi surface with respect to a kind of 1p-1h correlations. To discuss the symmetry breaking between uniform density states and the oscillating density state, a schematic model of a few clusters on a Fermi gas core in a one-dimensional finite box was introduced. The model analysis suggests structure transitions from a Fermi gas state to a DW-like state via a BCS-like state, and to a Bose Einstein condensation (BEC)-like state depending on the cluster size relative to the box size. It was found that the oscillating density in the DW-like state originates in Pauli blocking effects.