Changes in the mean-square charge radii and magnetic moments of neutron-deficient Tl isotopes

A. E. Barzakh, L. Kh. Batist, D. V. Fedorov, V. S. Ivanov, K. A. Mezilev, P. L. Molkanov, F. V. Moroz, S. Yu. Orlov, V. N. Panteleev, and Yu. M. Volkov

Phys. Rev. C 88, 024315 – Published 19 August 2013

Abstract

In-source laser spectroscopy experiments for neutron-deficient thallium isotopes at the 276.9-nm atomic transition have been carried out at the Investigation of Radioactive Isotopes on Synchrocyclotron facility of Petersburg Nuclear Physics Institute. New data on isotope shifts and the hyperfine structure for $^{183 - 207}$ Tl isotopes and isomers are presented. The changes in the mean-square charge radii and magnetic-moment values are deduced. It is shown that nuclear properties of Tl isotopes and isomers smoothly change at the neutron midshell and beyond without development of strong deformation in contrast to the adjacent Hg nuclei. A rather great isomer shift between $I$ $=$ 1/2 and $I$ $=$ 9/2 states for odd Tl isotopes is preserved for both sides of the previously investigated mass range. For the first time, a similar isomer shift is found for the odd-odd isotope $^{186}$ Tl. The close resemblance of the charge radii isotopic behavior for the Tl and Pb ground states is demonstrated.

Received 14 June 2013

DOI:https://doi.org/10.1103/PhysRevC.88.024315

Authors & Affiliations

A. E. Barzakh^*, L. Kh. Batist, D. V. Fedorov, V. S. Ivanov, K. A. Mezilev, P. L. Molkanov, F. V. Moroz, S. Yu. Orlov, V. N. Panteleev, and Yu. M. Volkov

Petersburg Nuclear Physics Institute (PNPI), NRC Kurchatov Institute, Gatchina 188300, Russia

^*Corresponding author: barzakh@mail.ru

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Vol. 88, Iss. 2 — August 2013

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Figure 1
Hfs spectra of some Tl isotopes. In the insets, the atomic number, spin, and energies of the γ or α lines for ion current monitoring for the isotope in question are presented. Full lines are the results of the fitting with the Voigt profile. Vertical dashed lines mark the center of gravity of the corresponding hfs.Reuse & Permissions
Figure 2
King plot for the 276.9-nm versus 535-nm transitions. Data for the 535-nm transition are taken from Refs. [7, 10, 11, 12, 13, 14, 15, 16, 17, 18].Reuse & Permissions
Figure 3
Magnetic moments for Tl isotopes and isomers. Squares: nuclei with $I$ $=$ 9/2; circles: nuclei with $I$ $=$ 1/2; triangles: nuclei with $I$ $=$ 2; asterisks: nuclei with $I$ $=$ 7. Full symbols: data from Refs. [7, 10, 11, 12, 13, 14, 15, 16, 17, 18]; open symbols: present paper.Reuse & Permissions
Figure 4
Isotopic dependency of the changes in the mean-square charge radii for Tl isotopes. Stars: present paper. Other values are recalculated from the IS data in Refs. [7, 8, 9, 10, 11, 13, 14, 16, 17, 18], see Table . Squares: nuclei with $I$ $=$ 1/2; circles: nuclei with $I$ $=$ 9/2; upward triangles: nuclei with $I$ $=$ 2; downward triangles: nuclei with $I$ $=$ 7. Dashed lines represent the droplet model prediction with different mean-square deformations. Droplet model predictions for $δ {〈 r^{2} 〉}_{A, 205}$ are normalized by using ${〈 β^{2} 〉}^{1 / 2} (^{205} Tl) = 0.0 69$ (evaluated from $B$ ( $E$ 2) for the core nucleus $^{204}$ Hg [51]). Only statistical errors are displayed. The possible change in the $F$ or $M$ factor would lead to the corresponding change in the $y$ -axis scale and would not change the overall trend of the $δ 〈 r^{2} 〉$ isotopic dependency.Reuse & Permissions
Figure 5
Relative changes in $δ 〈 r^{2} 〉$ for the even-neutron lead and thallium isotopes. Boxes connected by the line (to guide the eye) represent the values for even Pb isotopes (the IS data are taken from Refs. [4, 36]). Circles represent the values for odd Tl ground states with $I$ $=$ 1/2 (see Table and references therein). Triangles represent the values for odd Tl isomers with $I$ $=$ 9/2 (see Table and references therein). Open symbols show the values obtained in the present paper.Reuse & Permissions
Figure 6
Relative changes in $δ 〈 r^{2} 〉$ for the odd-neutron lead and thallium isotopes. Boxes connected by the line (to guide the eye) represent the values for odd Pb isotopes with $I$ $=$ 3/2 (the IS data are taken from Refs. [4, 36]). Circles represent the values for even Tl ground states with $I$ $=$ 2 (see Table and references therein). The open symbol shows the value obtained in the present paper.Reuse & Permissions

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