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

Abstract

We study the structures of 9,10Be and 10B with the tensor-optimized shell model (TOSM) using an effective interaction based on the bare nucleon-nucleon interaction AV8′. The tensor correlation is treated in TOSM using the full space of 2p2h configurations including high-momentum components. The short-range correlation is treated with the unitary correlation operator method. It is found that the level orders of the low-lying states of 9,10Be and 10B are entirely reproduced. For 9Be, ground band states are located at relatively higher energies than the experiments, which indicates missing α clustering correlation in these states as seen in the case of 8Be. In addition, the tensor force gives a larger attraction for T = 1/2 states than for T = 3/2 ones for 9Be. The level order of the three nuclei is found to be sensitive to the presence of the tensor force in comparison with the results using the Minnesota effective interaction without the tensor force.