Ab initio estimation of $E2$ strengths in $^8$Li and its neighbors by normalization to the measured quadrupole moment
| Autor: | Caprio, Mark A., Fasano, Patrick J. |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 106, 034320 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.106.034320 |
| Popis: | For electric quadrupole ($E2$) observables, which depend on the large-distance tails of the nuclear wave function, ab initio no-core configuration interaction (NCCI) calculations converge slowly, making meaningful predictions challenging to obtain. Nonetheless, the calculated values for different $E2$ matrix elements, particularly those involving levels with closely-related structure (e.g., within the same rotational band) are found to be robustly proportional. This observation suggests that a known value for one observable may be used to determine the overall scale of $E2$ strengths, and thereby provide predictions for others. In particular, we demonstrate that meaningful predictions for $E2$ transitions may be obtained by calibration to the ground-state quadrupole moment. We test this approach for well-measured low-lying $E2$ transitions in $^7$Li and $^9$Be, then provide predictions for transitions in $^8$Li and $^9$Li. In particular, we address the $2^+\rightarrow1^+$ transition in $^8$Li, for which the reported measured strength exceeds ab initio Green's function Monte Carlo (GFMC) predictions by over an order of magnitude. Comment: 10 pages, 8 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|