Abstract
Form factors for α+12C inelastic scattering are obtained within two theoretical (α+α+α) approaches:The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the D3h symmetry of an equilateral triangle subject to rotations and vibrations. Results show a good agreement, with form factors involving the Hoyle state having a slightly larger extension within the hyperspherical approach. Coupled-channel calculations using these form factors are ongoing.
Highlights
The low-lying structure of 12C is still one of the most fascinating open problems in nuclear physics
Alphaclusterization and the nature of the so-called Hoyle state, which plays a crucial role in nucleosynthesis, have attracted special interest
Microscopic theories (e.g., [1]) support the existence of three-alpha cluster configurations for the 12C nucleus, a fact which justifies the use of cluster models (e.g., [2]) and algebraic methods (e.g., [3])
Summary
The low-lying structure of 12C is still one of the most fascinating open problems in nuclear physics. Alphaclusterization and the nature of the so-called Hoyle state, which plays a crucial role in nucleosynthesis, have attracted special interest. Microscopic theories (e.g., [1]) support the existence of three-alpha cluster configurations for the 12C nucleus, a fact which justifies the use of cluster models (e.g., [2]) and algebraic methods (e.g., [3]). These approaches, simpler, are suitable for the description of reaction observables. Different probes have been extensively used to access the properties of its ground and excited states. Our goal is to compare form factors for inelastic scattering in these two approaches and set the basis for full coupled-channel calculations
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