Calculation of Positronium Energy Levels at Order 𝑚𝛼7
MetadataShow full item record
The main purpose of the research project is to calculate the positronium energy levels at the order 𝑚𝛼7. Positronium is a bound state of an electron and its antiparticle, positron. Since the electrodynamic interaction is the predominant form of interaction between the two particles, positronium is useful for comparing the results obtained by the currently accepted mathematical models of quantum electrodynamics with the experimental measurements of the energy levels. During the Hackman Research period I applied the Feynman rules for nonrelativistic quantum electrodynamics (NRQED) to calculate the contributions of the 𝑂(𝛼7)Darwin correction and 𝑂(𝛼7) relativistic kinetic energy correction to the positronium ground state (1S) and the first excited state (2S, 2P) energy levels. Although the obtained results can be considered as a significant progress in the process of calculating the positronium energy level structure at the order 𝑚𝛼7, the contribution of several other perturbative interactions, for instance, the spin-orbit correction, must be accounted for in order to obtain the final result. This project was made possible by funding from Professor Greg Adkins's grant from the National Science Foundation.
Poster presented at the 2016 Autumn Research Fair at Franklin and Marshall College