Effects of the interaction between the magnetic moments on the energy levels of a pionic atom

TL;DR

This paper calculates the binding energy of a 2p pion in pionic atoms, showing magnetic moment interactions decrease energy levels, especially when moments align, and energy increases with atomic number Z.

Contribution

It introduces a detailed calculation of magnetic moment interactions affecting pion energy levels in atoms, highlighting their impact on binding energies.

Findings

Magnetic moment interactions decrease the 2p pion binding energy.

Aligned magnetic moments lead to a larger decrease in energy.

Binding energy increases with the atomic number Z.

Abstract

We present the calculation of the binding energy of 2p pion for various central charges Z. We have taken into account the interaction between the magnetic moment of the nucleus and the orbital magnetic moment of the pion. The obtained results show that the interaction between the magnetic moments decreases teh binding energy. This decrease is larger when the two magnetic moments add one another. Also, the binding energy increases with Z increasing.