$Abinitio$ description of collectivity for $sd$ shell nuclei

Abstract

In the present work, we have reported shell model results for open shell nuclei Ne, Mg and Si isotopes with $10\le N\le 20$ in $sd$-shell model space. We have performed calculations in $sd$ shell with two $abinitio$ 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 $B(E2;2_1^{+}\to 0_1^{+})$ 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 $abinitio$ description of deformation for doubly open-shell nuclei for $sd$ shell. To see the importance of $pf$ orbitals, we have also compared our results with SDPF-MU interaction by taking account of $2p-2h$ and $4p-4h$ configurations in $sd$-$pf$-shell model space.

arXiv commentHyperfine Interactions (Springer) - Accepted

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Cited by in corpus (2)

• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions