Using isotope shift for testing nuclear theory: the case of nobelium isotopes

Abstract

We calculate field isotope shifts for nobelium atoms using nuclear charge distributions which come from different nuclear models. We demonstrate that comparing calculated isotope shifts with experiment can serve as a testing ground for nuclear theories. It also provides a way of extracting parameters of nuclear charge distribution beyond nuclear RMS radius, e.g. parameter of quadrupole deformation $\beta$. We argue that previous interpretation of the isotope measurements in terms of $\delta ⟨r^2⟩$ between ${}^{252,254}$No isotopes should be amended when nuclear deformation is taken into account. We calculate isotope shifts for other known isotopes and for hypothetically metastable isotope ${}^{286}$No for which the predictions of nuclear models differ substantially.

arXiv comment7 pages, 2 figures

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• Laser spectroscopy of indium Rydberg atom bunches by electric field ionization
• Isotope shifts for ${}^1{S}_0-{}^3{P}_{0,1}^o$ Yb lines from multi-configuration Dirac-Hartree-Fock calculations
• Constraints on the Variation of Physical Constants, Equivalence Principle Violation, and a Fifth Force from Atomic Experiments
• Isotope-shift analysis with the $4f^{14}6s^2{}^1{S}_0-4f^{13}5d6s^2(J=2)$ transition in ytterbium
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