Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.02285 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929220862607360 |
|---|---|
| author | Li, Fei-Chen Tang, Yong-Bo |
| author_facet | Li, Fei-Chen Tang, Yong-Bo |
| contents | The refined values of the magnetic octupole moments of $^{113}$In and $^{115}$In are obtained by combining high-precision atomic calculations with corresponding hyperfine structure spectrum. We performed an \textit{ab initio }calculations of hyperfine-structure properties for the low-lying states of In atom using the single and double approximated relativistic coupled-cluster method. The hyperfine-structure properties includes first-order hyperfine-structure constants and the second-order magnetic dipole-magnetic dipole, magnetic dipole-electric quadrupole, and electric quadrupole-electric quadrupole effects caused by the off-diagonal hyperfine interaction. Based on our theoretical results, we reanalyze the previously measurements of hyperfine splitting in the 5$p_{3/2}$ state of $^{113}$In and $^{115}$In [Eck and Kusch, Phys. Rev. 106, 958 (1957)], determining corresponding hyperfine-structure constants $A$, $B$, and $C$. By combining these undated HFS constants and our theoretical results, the magnetic octupole moments of $^{113}$In and $^{115}$In nuclei are extracted to be $Ω(^{113}\rm In)=0.455(44)$~$\mathrm{μ_{N}\times b}$ , and $Ω(^{115}\rm In)=0.443(42)$~$\mathrm{μ_{N}\times b}$, respectively. The refined values of magnetic octupole moments are about smaller 21\% than the previously reported results by Eck and Kusch [Phys. Rev. 106, 958 (1957)]. Additionally, we also determine the electric quadrupole moment of $^{115}$In nuclei to be $Q(^{115}\rm In)=0.767(9)$ b by combining our theoretical results and the measured values for hyperfine-structure constants of the 5$p_{3/2}$ and 6$p_{3/2}$ states. Our results are compared with available experimental and theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02285 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Refined nuclear magnetic octupole moment of $^{113}$In and $^{115}$In Li, Fei-Chen Tang, Yong-Bo Atomic Physics The refined values of the magnetic octupole moments of $^{113}$In and $^{115}$In are obtained by combining high-precision atomic calculations with corresponding hyperfine structure spectrum. We performed an \textit{ab initio }calculations of hyperfine-structure properties for the low-lying states of In atom using the single and double approximated relativistic coupled-cluster method. The hyperfine-structure properties includes first-order hyperfine-structure constants and the second-order magnetic dipole-magnetic dipole, magnetic dipole-electric quadrupole, and electric quadrupole-electric quadrupole effects caused by the off-diagonal hyperfine interaction. Based on our theoretical results, we reanalyze the previously measurements of hyperfine splitting in the 5$p_{3/2}$ state of $^{113}$In and $^{115}$In [Eck and Kusch, Phys. Rev. 106, 958 (1957)], determining corresponding hyperfine-structure constants $A$, $B$, and $C$. By combining these undated HFS constants and our theoretical results, the magnetic octupole moments of $^{113}$In and $^{115}$In nuclei are extracted to be $Ω(^{113}\rm In)=0.455(44)$~$\mathrm{μ_{N}\times b}$ , and $Ω(^{115}\rm In)=0.443(42)$~$\mathrm{μ_{N}\times b}$, respectively. The refined values of magnetic octupole moments are about smaller 21\% than the previously reported results by Eck and Kusch [Phys. Rev. 106, 958 (1957)]. Additionally, we also determine the electric quadrupole moment of $^{115}$In nuclei to be $Q(^{115}\rm In)=0.767(9)$ b by combining our theoretical results and the measured values for hyperfine-structure constants of the 5$p_{3/2}$ and 6$p_{3/2}$ states. Our results are compared with available experimental and theoretical results. |
| title | Refined nuclear magnetic octupole moment of $^{113}$In and $^{115}$In |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2311.02285 |