Nuclear Moments of Neutron-Deficient Thallium Isotopes

Abstract

Hyperfine structure measurements of neutron-deficient thallium isotopes have been performed using the focusing atomic beam magnetic resonance (FABM) method. Ground-state nuclear spins, magnetic dipole moments, and electric quadrupole moments have been determined with high precision.

Key Results

The measured magnetic moments show systematic deviations from single-particle estimates, indicating the importance of core polarization effects. Quadrupole moment data suggest moderate deformation in the neutron-deficient thallium region.

$$ \Delta E_{\text{hfs}} = A , \mathbf{I} \cdot \mathbf{J} + B , \frac{3(\mathbf{I} \cdot \mathbf{J})^2 + \frac{3}{2}(\mathbf{I} \cdot \mathbf{J}) - I(I+1)J(J+1)}{2I(2I-1)2J(2J-1)} $$

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