Abstract
In the present work, we have reported shell model results for open shell nuclei Ne, Mg and Si isotopes with 10 ≤ N ≤ 20 in sd-shell model space. We have performed calculations in sd shell with two ab initio 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 ab initio 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.
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Acknowledgments
AS acknowledges financial support from MHRD (Govt. of India) for her Ph.D. thesis work. Vikas Kumar acknowledges partial support from CUK.
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This article is part of the Topical Collection on Proceedings of the International Conference on Hyperfine Interactions and their Applications (HYPERFINE 2019), Goa, India, 10–15 February 2019
Edited by S. N. Mishra, P. L. Paulose and R. Palit
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Saxena, A., Kumar, A., Kumar, V. et al. Ab initio description of collectivity for sd shell nuclei. Hyperfine Interact 240, 37 (2019). https://doi.org/10.1007/s10751-019-1582-y
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DOI: https://doi.org/10.1007/s10751-019-1582-y