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Emergent geometry and duality in the carbon nucleus.

ABSTRACT: The carbon atom provides the backbone for the complex organic chemistry composing the building blocks of life. The physics of the carbon nucleus in its predominant isotope, ¹²C, is similarly full of multifaceted complexity. Here we provide a model-independent density map of the geometry of the nuclear states of ¹²C using the ab initio framework of nuclear lattice effective field theory. We find that the well-known but enigmatic Hoyle state is composed of a "bent-arm" or obtuse triangular arrangement of alpha clusters. We identify all of the low-lying nuclear states of ¹²C as having an intrinsic shape composed of three alpha clusters forming either an equilateral triangle or an obtuse triangle. The states with the equilateral triangle formation also have a dual description in terms of particle-hole excitations in the mean-field picture.

SUBMITTER: Shen S

PROVIDER: S-EPMC10185503 | biostudies-literature | 2023 May

REPOSITORIES: biostudies-literature

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Emergent geometry and duality in the carbon nucleus.

Shen Shihang S Elhatisari Serdar S Lähde Timo A TA Lee Dean D Lu Bing-Nan BN Meißner Ulf-G UG

Nature communications 20230515 1

The carbon atom provides the backbone for the complex organic chemistry composing the building blocks of life. The physics of the carbon nucleus in its predominant isotope, <sup>12</sup>C, is similarly full of multifaceted complexity. Here we provide a model-independent density map of the geometry of the nuclear states of <sup>12</sup>C using the ab initio framework of nuclear lattice effective field theory. We find that the well-known but enigmatic Hoyle state is composed of a "bent-arm" or obt ...[more]

PMID: 37188675

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