$Ab~initio$ description of collectivity for $sd$ shell nuclei

In the present work, we have reported shell model results for open shell nuclei Ne, Mg and Si isotopes with $10 \leq N \leq 20$ in $s d$ -shell model space. We have performed calculations in $s d$ shell with two $a b i n i t i o$ approaches: in-medium similarity renormalization group (IM-SRG) and coupled-cluster (CC) theory. We have also performed calculations with phenomenological USDB interaction and chiral effective field theory based CEFT interaction. The results for rotational spectra and $B(E2;2_1^+\rightarrow 0_1^+)$ transitions are reported for even-mass isotopes. The IM-SRG and CC results are in reasonable agreement with the experimental data except at $N$ =20. This demonstrates a validity of $a b i n i t i o$ description of deformation for doubly open-shell nuclei for $s d$ shell. To see the importance of $p f$ orbitals, we have also compared our results with SDPF-MU interaction by taking account of $2 p - 2 h$ and $4 p - 4 h$ configurations in $s d$ - $p f$ -shell model space.

$A b i n i t i o$ description of collectivity for $s d$ shell nuclei

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$A b i n i t i o$ description of collectivity for $s d$ shell nuclei

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Ab initioAb initio description of collectivity for sdsd shell nuclei

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Ab initioAb initio description of collectivity for sdsd shell nuclei

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$A b i n i t i o$ description of collectivity for $s d$ shell nuclei

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$A b i n i t i o$ description of collectivity for $s d$ shell nuclei

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