Coulomb excitation of the | Tz |= 12 ,  A=23 mirror pair

Journal Article · Mon Mar 28 00:00:00 EDT 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.105.034332· OSTI ID:1860849

Henderson, J. ^[1]; Hackman, G. ^[2]; Ruotsalainen, P. ^[3]; Holt, J. D. ^[4]; Stroberg, S. R. ^[5]; Andreoiu, C. ^[6]; Ball, G. C. ^[2]; Bernier, N. ^[7]; Bowry, M. ^[8]; Caballero-Folch, R. ^[2]; Cruz, S. ^[9]; Diaz Varela, A. ^[10]; Evitts, L. J. ^[11]; Frederick, R. ^[2]; Garnsworthy, A. B. ^[2]; Holl, M. ^[12]; Lassen, J. ^[2]; Measures, J. ^[13]; Olaizola, B. ^[14]; O'Sullivan, E. ^[2] ; Paetkau, O. ^[2]; Park, J. ^[15]; Smallcombe, J. ^[16]; Svensson, C. E. ^[10]; Whitmore, K. ^[6]; Wu, C. Y. ^[17]

---

1. Univ. of Surrey, Guildford (United Kingdom); TRIUMF, Vancouver, BC (Canada); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
2. TRIUMF, Vancouver, BC (Canada)
3. Univ. of Jyväskylä (Finland)
4. TRIUMF, Vancouver, BC (Canada); McGill Univ., Montreal, QC (Canada)
5. TRIUMF, Vancouver, BC (Canada); Univ. of Washington, Seattle, WA (United States)
6. Simon Fraser Univ., Burnaby, BC (Canada)
7. TRIUMF, Vancouver, BC (Canada); Univ. of British Columbia, Vancouver, BC (Canada); Univ. of the Western Cape, Bellville (South Africa)
8. TRIUMF, Vancouver, BC (Canada); Univ. of the West of Scotland, Paisley (Scotland)
9. TRIUMF, Vancouver, BC (Canada); Univ. of British Columbia, Vancouver, BC (Canada)
10. Univ. of Guelph, ON (Canada)
11. TRIUMF, Vancouver, BC (Canada); Univ. of Surrey, Guildford (United Kingdom); Bangor Univ., Gwynedd (United Kingdom)
12. TRIUMF, Vancouver, BC (Canada); Saint Mary's Univ., Halifax, NS (Canada); Chalmers University of Technology, Gothenburg (Sweden)
13. TRIUMF, Vancouver, BC (Canada); Univ. of Surrey, Guildford (United Kingdom)
14. TRIUMF, Vancouver, BC (Canada); European Organization for Nuclear Research (CERN), Geneva (Switzerland). ISOLDE-EP
15. TRIUMF, Vancouver, BC (Canada); Univ. of British Columbia, Vancouver, BC (Canada); Inst. for Basic Science, Daejeon (South Korea). Center for Exotic Nuclear Studies
16. TRIUMF, Vancouver, BC (Canada); Univ. of Liverpool (United Kingdom). Oliver Lodge Lab.
17. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Background: Electric-quadrupole ( $E2$ ) strengths relate to the underlying quadrupole deformation of a nucleus and present a challenge for many nuclear theories. Additionally, mirror nuclei in the vicinity of the line of $N=Z$ represent a convenient laboratory for testing deficiencies in such models, making use of the isospin symmetry of the systems.

Purpose: Uncertainties associated with literature $E2$ strengths in ${}_{23}\mathrm{Mg}$ are some of the largest in $T_z=\left|\frac{1}{2}\right|$ nuclei in the $sd$ shell. The purpose of the present paper is to improve the precision with which these values are known, to enable better comparison with theoretical models.

Methods: Coulomb-excitation measurements of ${}_{23}\mathrm{Mg}$ and ${}_{23}\mathrm{Na}$ were performed at the TRIUMF-ISAC facility using the TIGRESS spectrometer. They were used to determine the $E2$ matrix elements of mixed $E2/M1$ transitions.

Results: Reduced $E2$ transition strengths, $B\left(E2\right)$ , were extracted for ${}_{23}\mathrm{Mg}$ and ${}_{23}\mathrm{Na}$ . Their precision was improved by factors of approximately 6 for both isotopes, while agreeing within uncertainties with previous measurements.

Conclusions: A comparison was made with both shell-model and ab initio valence-space in-medium similarity renormalization group calculations. Valence-space in-medium similarity renormalization group calculations were found to underpredict the absolute $E2$ strength, in agreement with previous studies.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC52-07NA27344; FG02-97ER41014; SC0018223
• OSTI ID: 1860849
• Report Number(s): LLNL-JRNL-830003; 1046244
• Journal Information: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 3 Vol. 105; ISSN 2469-9985
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Electromagnetic transitions
spectroscopic factors & electromagnetic moments