Explicit inclusion of spin-orbit contribution in THSR wave function

Abstract

The Tohsaki-Horiuchi-Schuck-Roepke (THSR) wave function has been successfully used for the studies of gas-like nature of alpha clusters in various nuclei including the so-called Hoyle state of 12C and four alpha states of 16O. In standard alpha cluster models, however, each alpha cluster wave function has spin zero because of its spatial symmetry and antisymmetrization effect. Thus the non-central interactions do not contribute, and this situation is the same in the THSR wave function. In this work, the spin-orbit contribution, which is found to be quite important at short alpha-alpha distances, is taken into account in the THSR wave function by combing it with antisymmetrized quasi cluster model (AQCM). The application to 12C is presented. The multi-integration in the original THSR wave function is carried out by using Monte Carlo technique, which is called Monte Carlo THSR wave function. For the nucleon-nucleon interaction, the Tohsaki interaction, which contains finite-range three-body terms and simultaneously reproduces the saturation properties of nuclear systems, the alpha-alpha scattering phase shift, and the size and binding energy of 4He, is adopted.

References in corpus (16)

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• Ab initio calculation of the Hoyle state
• Structure and rotations of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework
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• Pair decay width of the Hoyle state and carbon production in stars
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• Investigation of ${}^9$Be from nonlocalized clustering concept
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• Novel and simple description for a smooth transition from $\alpha$-cluster wave functions to $jj$-coupling shell model wave functions
• Consistent description of 12C and 16O using finite range three-body interaction
• Non-trivial effect for the large radius at the dripline of Oxygen isotopes
• The Hoyle state and its relatives

Cited by in corpus (10)

• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• 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
• Persistence of cluster structure in the ground state of ${}^{11}$B
• Cluster-shell competition and effect of adding hyperons