Structures in 9Be, 10Be and 10B studied with tensor-optimized shell model

Abstract

We investigate the structures of ${}^{9,10}$Be and ${}^{10}$B with the tensor-optimized shell model (TOSM) using the effective interaction based on the bare nucleon-nucleon interaction AV8${}^{\prime }$. The tensor correlation is treated in TOSM with the full optimization of 2p2h configurations including high-momentum components. The short-range correlation is described in the unitary correlation operator method (UCOM). It is found that the level orders of the low-lying states of ${}^{9,10}$Be and ${}^{10}$B are entirely reproduced. For ${}^9$Be, ground band states are located relatively in higher energy than the experiments, which indicates the missing $\alpha$ clustering correlation in these states as seen in the case of ${}^8$Be with TOSM. In addition, the tensor force gives the larger attraction for $T$=1/2 states than for $T$=3/2 ones for ${}^9$Be. For ${}^{10}$Be, the tensor contribution of $0_2^{+}$ shows the largest value among the $0^{+}$ states. This can be related to the $\alpha$ clustering correlation in this state. It is also found that the level order of three nuclei depends on the tensor force in comparison with the results obtained with the Minnesota interaction without the tensor force.

12 pages, 7 figures

References in corpus (5)

• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
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Cited by in corpus (5)

• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Ab-initio no-core shell model study of ${}^{10-14}$B isotopes with realistic NN interactions
• New successive variational method of tensor-optimized antisymmetrized molecular dynamics for nuclear many-body systems
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• Microscopic analysis of p^{10}B scattering at the intermediate energies