B(E2) strength in 36,38Ca and in mirror nuclei 36S, 38Ar

Summary

The paper discusses the B(E2↑) strength in 36,38Ca and mirror nuclei 36S, 38Ar, using the shell model embedded in the continuum (SMEC). The SMEC calculation reproduces the experimental B(E2↑) values and provides insight into the structure of these nuclei.

Highlights

• The B(E2↑) strength in 36Ca is significantly larger than in 38Ca, while the opposite is true for mirror nuclei 36S and 38Ar.
• The SMEC calculation reproduces the experimental B(E2↑) values for all four nuclei.
• The continuum coupling strength V0 has a weak effect on the B(E2↑) values in 36Ca and 38Ca.
• The mirror symmetry is broken in the pair 36Ca and 36S, but preserved in 38Ca and 38Ar.
• The spectroscopic factors for the ground states are larger than for the excited states.
• The SMEC calculation provides insight into the structure of the 2+ state in 36Ca and 36S.
• The proximity of the proton decay threshold affects the structure of 36Ca.

Key Insights

• The SMEC calculation reveals that the B(E2↑) strength in 36Ca is larger than in 38Ca due to the stronger coupling to the continuum in 36Ca.
• The mirror symmetry breaking in 36Ca and 36S is attributed to the difference in the occupation of the 0f7/2 and 1p3/2 shells.
• The SMEC calculation shows that the spectroscopic factors for the ground states are larger than for the excited states, indicating a stronger coupling to the continuum for the ground states.
• The proximity of the proton decay threshold in 36Ca affects the structure of this nucleus, leading to a larger spectroscopic factor for the 0+ state.
• The SMEC calculation provides insight into the structure of the 2+ state in 36Ca and 36S, revealing a significant difference in the occupation of the 0f7/2 and 1p3/2 shells.
• The continuum coupling strength V0 has a weak effect on the B(E2↑) values in 36Ca and 38Ca, indicating a robustness of the SMEC calculation.
• The SMEC calculation reproduces the experimental B(E2↑) values for all four nuclei, demonstrating the accuracy of the SMEC approach.

Mindmap

Citation

Okolowicz, J., & Ploszajczak, M. (2024). B(E2) strength in 36,38Ca and in mirror nuclei 36S, 38Ar (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.16362