Consistent description of 12C and 16O using finite range three-body interaction

Abstract

Consistent description of 12C and 16O has been a long standing problem of microscopic alpha cluster models, where the wave function is fully antisymmetrized and the effective interaction is applied not between alpha clusters but between nucleons. When the effective interaction is designed to reproduce the binding energy of 16O (four alpha), the binding energy of 12C (three alpha) becomes underbound by about 10 MeV. In the present study, by taking into account the coupling with the jj-coupling shell model components and utilizing Tohsaki interaction, which is phenomenological but has finite-range three-body interaction terms, we show that consistent understanding of these nuclei can be achieved. The original Tohsaki interaction gives small overbound of about 3 MeV for 16O, and this is improved by slightly modifying three-body Majorana exchange parameter. Also, the coupling with the jj-coupling shell model wave function strongly contributes to the increase of the binding energy of 12C. So far the application of Tohsaki interaction has been limited to 4N nuclei, and here, we add Bartlet and Heisenberg exchange terms in the two-body interaction for the purpose of applying it to neutron-rich systems, and it is applied to 6He.

References in corpus (8)

• Structure of ground and excited states of ${}^{12}$C
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Cluster structures within Fermionic Molecular Dynamics
• Pair decay width of the Hoyle state and carbon production in stars
• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
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• Novel and simple description for a smooth transition from $\alpha$-cluster wave functions to $jj$-coupling shell model wave functions
• New effective nuclear forces with a finite-range three-body term and their application to AMD+GCM calculations

Cited by in corpus (17)

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• Explicit inclusion of spin-orbit contribution in THSR wave function
• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• Imprints of $\alpha$ clustering in the density profiles of ${}^{12}$C and ${}^{16}$O
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• ${}^8$He and ${}^9$Li cluster structures in light nuclei
• Consistent description for cluster dynamics and single-particle correlation
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• Microscopic three-cluster study of light exotic nuclei
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Coulomb Energy of alpha-Aggregates on a Soap Bubble Shape
• Alpha Clustering with a Hollow Structure --- Geometrical Structure of Alpha Clusters from Platonic Solids to Fullerene Shape
• Persistence of cluster structure in the ground state of ${}^{11}$B
• Cluster-shell competition and effect of adding hyperons