Emergent geometry and duality in the carbon nucleus

Understand

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, $^{12}$C, is similarly full of multifaceted complexity.
• Some nuclear states of $^{12}$C can be preferentially treated as a collection of independent particles held by the mean field of the nucleus, while other states behave more as a collection of three alpha-particle clusters.
• But these two pictures are not mutually exclusive, and some states can be described in either fashion$^{1,2}$.