Improved version of simplified method for including tensor effect in cluster models

Abstract

The tensor contribution can be directly incorporated in the cluster model in a simplified way. In conventional $\alpha$ cluster models, the contribution of the non-central interactions exactly cancels because of the antisymmetrization effect and spatial symmetry of $\alpha$ clusters. The mixing of breaking components of $\alpha$ clusters to take into account the spin-orbit and tensor effects is needed. Previously we proposed a simplified method to include the spin-orbit effect, and also for the tensor part, a simplified model to directly take into account the contribution of the tensor interaction (called SMT) was introduced; however the contribution of the tensor interaction was quite limited. Here we improve SMT, which is called $i$SMT. Using newly proposed $i$SMT, the contribution of the tensor interaction in ${}^4$He is more than $-40$ MeV, four times larger than the previous version. The method is applied to four-$\alpha$ cluster structure of ${}^{16}$O. In ${}^{16}$O, the tensor contribution is also large, and this is coming from the finite size effect for the distances among $\alpha$ clusters with a tetrahedral configuration.

References in corpus (17)

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• Benchmark Test Calculation of a Four-Nucleon Bound State
• Ab initio no-core full configuration calculations of light nuclei
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• Consistent description of 12C and 16O using finite range three-body interaction
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Cited by in corpus (11)

• High-momentum components in the ${}^4$He nucleus caused by inter-nucleon correlations
• Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
• High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation
• Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics
• The tensor-optimized high-momentum antisymmetrized molecular dynamics with bare interaction and its application in ${}^4$He nucleus
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods
• Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force