The Possibility of Measuring Nuclear Shapes by Using Spectral Lines of Muonic Ions

Abstract

We analytically calculated the shift of spectral lines of hydrogenlike ions for non-spherical nuclear shapes, such as the oblate or prolate ellipsoid of revolution. We show that the allowance for the ellipsoidal nuclear shape can change the shift of spectral lines of muonic hydrogenlike ions by several times compared to the corresponding shift for spherical nuclei. This can serve as an additional method for the experimental determination of the quadrupole moment of nuclei and of the standard beta-parameter related to the quadrupole moment.

Mini-Review: Hydrogen Atoms in a High-Frequency Laser Field

“…Muonic atoms and ions are more sensitive to the nuclear shape than the electronic atoms and ions. In particular, in paper [23] it was shown how the shift of spectral lines of muonic hydrogenic ions can serve for the experimental determination of the parameters of the nuclear shape (such as, for example, the parameter analogous to the constant I 2 in Equation (75)).…”