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Decay and structure of the Hoyle state

2014/12/13 by S. Ishikawa, Souichi Ishikawa · 2 citations
Physics and Astronomy · #Alpha decay #Atomic and Molecular Physics #Atomic physics #Bound state #Geometry #Isosceles triangle #Nuclear physics research studies #Nuclear reaction #Photodisintegration #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #State (computer science) #Wave function #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.90.061604

5 pages, 3 figures

arxiv created 2014/12/13 · openalex publication_date 2014/12/22 · arxiv updated 2016/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The first 0+ resonant state of the 12C nucleus, 12C(02+), the so-called Hoyle state, is investigated in a three-\ensuremathα-particle (3-\ensuremathα) model. A wave function for the photodisintegration reaction of a 12C bound state to 3-\ensuremathα final states is defined and calculated by the Faddeev three-body formalism, in which three-body bound and continuum states are treated consistently. From the wave function at the Hoyle state energy, I calculated distributions of outgoing \ensuremathα particles and density distributions at interior region of the Hoyle state. Results show that a process through a two-\ensuremathα resonant state is dominant in the decay and contributions of the rest process are very small, less than 1%. There appear to be some peaks in the interior density distribution corresponding to configurations of equilateral and isosceles triangles. It turns out that these results are obtained independently of the choice of \ensuremathα-particle interaction models, when they are made to reproduce the Hoyle state energy.

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