Submillimeter constraints for non-Newtonian gravity from spectroscopy

TL;DR

This paper investigates how non-Newtonian gravity corrections at submillimeter scales affect atomic energy levels, proposing constraints that surpass current bounds using high-precision spectroscopy of Rydberg states.

Contribution

It analytically calculates deviations in hydrogen-like ions caused by non-Newtonian gravity and derives new, stronger constraints from spectroscopic measurements.

Findings

Derived constraints on non-Newtonian gravity from atomic spectra.

Showed spectroscopic methods can outperform Casimir force measurements.

Provided analytical expressions for gravitational deviations in atomic energy levels.

Abstract

In this work, we consider the Yukawa-type and power-type non-Newtonian corrections, which induce amplification of gravitational interaction on submillimeter scales, and analytically calculate deviations produced by the atomic gravitational field on the energy levels of hydrogen-like ions. Analyzing ionic transitions between Rydberg states, we derive prospective constraints for non-Newtonian corrections. It is shown that the results also provide stronger constraints, due to the high accuracy for Rydberg transition measures into optical spectrum frequency range, than the current empirical bounds following from Casimir force measurements.