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Article
Report number arXiv:1410.0895 ; CERN-ISOLDE-2015-007 ; CERN-ISOLDE-2015-007
Title Shell structure of potassium isotopes deduced from their magnetic moments
Author(s)

Papuga, J. (Leuven U.) ; Bissell, M L (Leuven U.) ; Kreim, K (Heidelberg, Max Planck Inst.) ; Barbieri, C (Surrey U.) ; Blaum, K (Heidelberg, Max Planck Inst.) ; De Rydt, M (Leuven U.) ; Duguet, T (IRFU, SPhN, Saclay ; Michigan State U., NSCL) ; Garcia Ruiz, R F (Leuven U.) ; Heylen, H (Leuven U.) ; Kowalska, M (CERN) ; Neugart, R (Mainz U., Inst. Kernchem.) ; Neyens, G (Leuven U.) ; Nortershauser, W (Mainz U., Inst. Kernchem. ; Darmstadt, Tech. Hochsch.) ; Rajabali, M M (Leuven U.) ; Sanchez, R (Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Smirnova, N (CENBG, Gradignan) ; Soma, V (IRFU, SPhN, Saclay) ; Yordanov, D T (Heidelberg, Max Planck Inst. ; Orsay, IPN)

Publication 2014-09-29
Imprint 03 Oct 2014
Number of pages 12
Note Comments: 12 pages, 10 figures, 7 tables
12 pages, 10 figures, 7 tables
In: Phys. Rev. C 90 (2014) 034321
DOI 10.1103/PhysRevC.90.034321
Subject category Nuclear Physics - Experiment
Accelerator/Facility, Experiment CERN ISOLDE ; IS484
Free keywords ISOLDE facility, radioactive ion beams, collinear laser spectroscopy, K isotopes, COLLAPS setup
Abstract $\textbf{Background:}$ Ground-state spins and magnetic moments are sensitive to the nuclear wave function, thus they are powerful probes to study the nuclear structure of isotopes far from stability.

$\textbf{Purpose:}$ Extend our knowledge about the evolution of the $1/2^+$ and $3/2^+$ states for K isotopes beyond the $N = 28$ shell gap.

$\textbf{Method:}$ High-resolution collinear laser spectroscopy on bunched atomic beams.

$\textbf{Results:}$ From measured hyperfine structure spectra of K isotopes, nuclear spins and magnetic moments of the ground states were obtained for isotopes from $N = 19$ up to $N = 32$. In order to draw conclusions about the composition of the wave functions and the occupation of the levels, the experimental data were compared to shell-model calculations using SDPF-NR and SDPF-U effective interactions. In addition, a detailed discussion about the evolution of the gap between proton $1d_{3/2}$ and $2s_{1/2}$ in the shell model and $\textit{ab initio}$ framework is also presented.

$\textbf{Conclusions:}$ The dominant component of the wave function for the odd-$A$ isotopes up to $^{45}$K is a $\pi 1d_{3/2}^{-1}$ hole. For $^{47,49}$K, the main component originates from a $\pi 2s_{1/2}^{-1}$ hole configuration and it inverts back to the $\pi 1d_{3/2}^{-1}$ in $^{51}$K. For all even-$A$ isotopes, the dominant configuration arises from a $\pi 1d_{3/2}^{-1}$ hole coupled to a neutron in the $\nu 1f_{7/2}$ or $\nu 2p_{3/2}$ orbitals. Only for $^{48}$K, a significant amount of mixing with $\pi 2s_{1/2}^{-1} \otimes \nu (pf)$ is observed leading to a $I^{\pi}=1^{-}$ ground state. For $^{50}$K, the ground-state spin-parity is $0^-$ with leading configuration $\pi 1d_{3/2}^{-1} \otimes \nu 2p_{3/2}^{-1}$.
Copyright/License arXiv nonexclusive-distrib. 1.0
Publication: © 2014-2024 American Physical Society



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