Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables

Abstract

We analyze the $\alpha$-${}^{12}$C inelastic scattering to the $0_2^{+}$ state of ${}^{12}$C, the Hoyle state, in a fully microscopic framework. With no free adjustable parameter, the inelastic cross sections at forward angles are well reproduced by the microscopic reaction calculation using the transition density of ${}^{12}$C obtained by the resonating group method and the nucleon-nucleon $g$ matrix interaction developed by the Melbourne group. It is thus shown that the monopole transition strength obtained by the structural calculation is consistent with that extracted from the reaction observable, suggesting no missing monopole strength of the Hoyle state.

4 pages, 4 figures

References in corpus (7)

• Structure and rotations of the Hoyle state
• Microscopic optical potentials for ${}^4$He scattering
• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• A microscopic approach to ${}^3$He scattering

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