# New type of hydrogenlike charm-pion or charm-kaon matter

## TL;DR

This paper predicts a new type of hydrogenlike matter composed of charm mesons and pions or kaons, analyzing their spectra and potential strong interaction effects, which could guide future high-precision experiments.

## Contribution

It introduces a novel theoretical framework for hydrogenlike charm-pion and charm-kaon matter, extending atomic models to these exotic systems and exploring their spectral and strong interaction properties.

## Key findings

- Spectra can be modeled using Coulomb potential for all systems.
- Strong interactions cause binding energy shifts of several to hundreds of eV.
- Predicted energy shifts suggest the need for high-precision experimental verification.

## Abstract

Borrowing the structures of the hydrogen atom, molecular ion, and diatomic molecule, we predict the nature of a new type of hydrogenlike charm-pion or charm-kaon matter that could be obtained by replacing the proton and electron in hydrogen matter with a charmed meson and a pion or a kaon, respectively. We find that the spectra of the atom, molecular ion, and diatomic molecule can be obtained simultaneously with the Coulomb potential for the hydrogen, the charm-pion, and the charm-kaon systems. The predicted charm-pion matter also allows us to explore the mass shift mediated by the strong interaction. For the charm-pion and charm-kaon systems, the strong interactions could lead to binding energy shifts. Our calculations suggests that the binding energy shifts in charm-pion systems are in the order of several to tens of eV. For the charm-kaon systems, the results are in the order of tens to hundreds of eV. Exploring hydrogenlike charm-pion matter must lead to new demands for high-precision experiments.