Interrelation between $\bar{p}$-Ca Atom Spectra and Nuclear Density Profiles

TL;DR

This study investigates how the spectra of antiproton-calcium atoms are influenced by nuclear density profiles and strong interaction effects, revealing the importance of isovector contributions and nuclear structure in spectral shifts and widths.

Contribution

It introduces a detailed analysis combining the optical model with nuclear density functional theory to connect atomic spectra with nuclear density profiles and isovector effects.

Findings

Isovector term significantly affects spectral shifts between isotopes.

Strong shifts and widths depend on nuclear density profiles.

Results enhance understanding of nuclear-hadron interactions in calcium isotopes.

Abstract

This work studies $\bar{p}$-Ca atom spectra in light of the strong shifts and level widths, using the optical model with several types of parametric coefficients. The spectroscopic quantities are obtained as the eigenvalues of the Dirac equation, where the nuclear densities computed via nuclear Density Functional Theory and the effect of the anomalous magnetic moment are incorporated. The results indicate that the isovector term's contribution to the optical potential is crucial for explaining the systematical differences in the strong shifts between $^{40}$Ca and $^{48}$Ca. Furthermore, it is found that both the strong shifts and the level widths exhibit significant dependence on the nuclear density profiles. These findings provide critical insights into the nuclear structures, particularly in the context of Calcium isotopes, by offering a more comprehensive understanding of the underlying nuclear-hadron properties.